Modeling of distributed parameter systems for applications - A synthesized review from time-space separation

Journal of Process Control

Volumn 20, Issue 8, 2010, Pages 891-901

  Li, Han Xiong ^a   Qi, Chenkun ^b  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Distributed parameter system; Model reduction; Parameter estimation; System identification; System modeling; Time space separation

Indexed keywords

BASIS FUNCTIONS; CONTROL AND OPTIMIZATION; DISTRIBUTED PARAMETER SYSTEM; DISTRIBUTED PARAMETER SYSTEM MODELS; DISTRIBUTED PARAMETER SYSTEMS; FIRST-PRINCIPLES; INDUSTRIAL PROCESSS; INFINITE-DIMENSIONAL SYSTEM; KERNEL BASED APPROACH; MODEL REDUCTION; MODELING METHOD; SPATIAL TEMPORALS; SYSTEM IDENTIFICATIONS; TIME-SPACE;

DIFFERENTIAL EQUATIONS; INTELLIGENT CONTROL; POSITION CONTROL;

PARAMETER ESTIMATION;

EID: 77955515106     PISSN: 09591524     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jprocont.2010.06.016     Document Type: Review

References (150)

1. P.D. Christofides Control of nonlinear distributed process systems: recent developments and challenges AIChE Journal 47 3 2001 514 518
2. S. Banerjee, J.V. Cole, and K.F. Jensen Nonlinear model reduction strategies for rapid thermal processing systems IEEE Transactions on Semiconductor Manufacturing 11 2 1998 266 275 (Pubitemid 128747852)
3. H.-X. Li, and S.P. Guan Hybrid intelligent control strategy - Supervising a DCS-controlled batch process IEEE Control Systems Magazine 21 3 2001 36 48
4. P. Holmes, J.L. Lumley, and G. Berkooz Turbulence, Coherent Structures, Dynamical Systems and Symmetry 1st ed. 1996 Cambridge University Press New York
5. H.-X. Li, J. Liu, C.P. Chen, and H. Deng A simple model-based approach for fluid dispensing analysis and control IEEE/ASME Transactions on Mechatronics 12 4 2007 491 503
6. Y.P. Hong, and H.-X. Li Comparative study of fluid dispensing modeling IEEE Transactions on Electronics Packaging Manufacturing 26 4 2003 273 280
7. P.D. Christofides Nonlinear and Robust Control of Partial Differential Equation Systems: Methods and Applications to Transport-Reaction Processes 2001 Birkhauser Boston
8. A.J. Fleming, and S.O.R. Moheimani Spatial system identification of a simply supported beam and a trapezoidal cantilever plate IEEE Transactions on Control Systems Technology 11 5 2003 726 736
9. D. Halim, and S.O.R. Moheimani Spatial resonant control of flexible structures - application to a piezoelectric laminate beam IEEE Transactions on Control Systems Technology 9 1 2001 37 53 (Pubitemid 32191122)
10. M.A. Demetriou Integrated actuator-sensor placement and hybrid controller design of flexible structures under worst case spatiotemporal disturbance variations Journal of Intelligent Material Systems and Structures 15 2004 901 921
11. D. Dochain, G. Dumont, D. Gorinevsky, T. Ogunnaike, Special issue on 'control of industrial spatially distributed processes' IEEE Transactions on Control Systems Technology 11 5 2003 609 611
12. P.D. Christofides, Special volume on 'control of distributed parameter systems' Computers and Chemical Engineering 26 7-8 2002 939 940
13. P.D. Christofides, Special issue on 'control of complex process systems' International Journal of Robust and Nonlinear Control 14 2 2004 87 88
14. P.D. Christofides, A. Armaou, Control of multiscale and distributed process systems - Preface Computers and Chemical Engineering 29 4 2005 687 688 (Pubitemid 40432098)
15. P.D. Christofides, X.Z. Wang, Special issue on 'control of particulate processes' Chemical Engineering Science 63 5 2008 1155
16. R.F. Curtain, and H.J. Zwart An Introduction to Infinite-Dimensional Linear Systems Theory 1995 Springer-Verlag New York
17. K. Glover, R.F. Curtain, and J.R. Partington Realization and approximation of linear infinite-dimensional systems with error-bounds SIAM Journal on Control and Optimization 26 4 1988 863 898
18. G.X. Gu, P.P. Khargonekar, and E.B. Lee Approximation of infinite-dimensional systems IEEE Transactions on Automatic Control 34 6 1989 610 618
19. P. Sooraksa, and G. Chen Mathematical modeling and fuzzy control of a flexible-link robot arm Mathematical and Computer Modelling 27 6 1998 73 93
20. M.A. Demetriou, and F. Fahroo Model reference adaptive control of structurally perturbed second-order distributed parameter systems International Journal of Robust and Nonlinear Control 16 2006 773 799
21. S.O.R. Moheimani, H.R. Pota, and I.R. Petersen Spatial balanced model reduction for flexible structures Automatica 35 1999 269 277
22. D.G. Zill, and M.R. Cullen Differential Equations with Boundary-Value Problems 5th ed. 2001 Brooks/Cole Thomson Learning Pacific Grove, CA; Australia
23. C.A.J. Fletcher Computational Galerkin Methods 1st ed. 1984 Springer New York
24. W.H. Ray Advanced Process Control 1981 Butterworths New York
25. L. Lefvre, D. Dochain, S. Feyo de Azevedo, and A. Magnus Optimal selection of orthogonal polynomials applied to the integration of chemical reactor equations by collocation methods Computers and Chemical Engineering 24 12 2000 2571 2588
26. D. Dochain, J.P. Babary, and N. Tali-Maamar Modelling and adaptive control of nonlinear distributed parameter bioreactors via orthogonal collocation Automatica 28 5 1992 873 883
27. R. Temam Infinite-Dimensional Dynamical Systems in Mechanics and Physics 1988 Springer-Verlag New York
28. C. Foias, M.S. Jolly, I.G. Kevrikidis, G.R. Sell, and E.S. Titi On the computation of inertial manifolds Physics Letters A 131 7-8 1988 433 436
29. S.Y. Shvartsman, and I.G. Kevrikidis Nonlinear model reduction for control of distributed systems: a computer-assisted study AIChE Journal 44 7 1998 1579 1594
30. P.D. Christofides, and P. Daoutidis Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds Journal of Mathematical Analysis and Applications 216 2 1997 398 420
31. C. Foias, and R. Temam Algebraic approximation of attractors: the finite dimensional case Physica D 32 2 1988 163 182
32. S.C. Brenner, and L. Ridgway Scott The mathematical Theory of Finite Element Methods 1994 Springer-Verlag New York
33. K. Höllig Finite Element Methods with B-Splines 2003 Society Industrial and Applied Mathematics Philadelphia
34. J. Ko, A.J. Kurdila, and M.S. Pilant A class of finite element methods based on orthonormal compactly supported wavelets Computational Mechanics 16 4 1995 235 244
35. N. Mahadevan, and K.A. Hoo Wavelet-based model reduction of distributed parameter systems Chemical Engineering Science 55 19 2000 4271 4290
36. M.J. Balas Finite dimensional control of distributed parameter systems by Galerkin approximation of infinite dimensional controller Journal of Mathematical Analysis and Application 114 1986 17 36
37. M. Marion, and R. Temam Nonlinear Galerkin methods: the finite elements case Numerische Mathematik 57 1 1990 205 226
38. P. Cruz, A. Mendes, and F.D. Magalhaes Using wavelets for solving PDEs: an adaptive collocation method Chemical Engineering Science 56 10 2001 3305 3309
39. A. Adrover, G. Continillo, S. Crescitelli, M. Giona, and L. Russo Wavelet-like collocation method for finite-dimensional reduction of distributed systems Computers and Chemical Engineering 24 12 2000 2687 2703
40. A. Adrover, G. Continillo, S. Crescitelli, M. Giona, and L. Russo Construction of approximate inertial manifold by decimation of collocation equations of distributed parameter systems Computers and Chemical Engineering 26 1 2002 113 123
41. A.R. Mitchell, and D.F. Griffiths The finite difference method in partial differential equations 1980 Wiley Chichester
42. W.E. Schiesser The Numerical Method of Lines: Integration of Partial Differential Equations 1991 Academic Press San Diego
43. C. Canuto Spectral Methods in Fluid Dynamics 1988 Springer-Verlag New York
44. J.P. Boyd Chebyshev and Fourier Spectral Methods 2nd ed. 2000 Dover Publications New York
45. P.D. Christofides Robust control of parabolic PDE systems Chemical Engineering Science 53 16 1998 2949 2965
46. P.D. Christofides, and J. Baker Robust output feedback control of quasi-linear parabolic PDE systems Systems & Control Letters 36 5 1999 307 316
47. S. Dubljevic, P.D. Christofides, and I.G. Kevrekidis Distributed nonlinear control of diffusion-reaction processes International Journal of Robust and Nonlinear Control 14 2 2004 133 156
48. A. Armaou, and P.D. Christofides Robust control of parabolic PDE systems with time-dependent spatial domains Automatica 37 1 2001 61 69
49. N.H. El-Farra, A. Armaou, and P.D. Christofides Analysis and control of parabolic PDE systems with input constraints Automatica 39 4 2003 715 725
50. N.H. El-Farra, and P.D. Christofides Coordinating feedback and switching for control of spatially distributed processes Computers and Chemical Engineering 28 1-2 2004 111 128
51. A. Armaou, and P.D. Christofides Nonlinear feedback control of parabolic partial differential equation systems with time-dependent spatial domains Journal of Mathematical Analysis & Applications 239 1 1999 124 157
52. D.H. Gay, and W.H. Ray Identification and control of distributed parameter systems by means of the singular value decomposition Chemical Engineering Science 50 10 1995 1519 1539
53. K.A. Hoo, and D. Zheng Low-order control-relevant models for a class of distributed parameter systems Chemical Engineering Science 56 23 2001 6683 6710
54. A.G. Butkovskiy Green's functions and transfer functions handbook 1st ed. 1982 Ellis Horwood Chichester, NY
55. L. Sirovich Turbulence and the dynamics of coherent structures parts I-III Quarterly of Applied Mathematics 45 3 1987 561 590
56. A.J. Newman, Model reduction via the Karhunen-Love expansion part I: an exposition, Technical Report T.R.96-32, University of Maryland, College Park, Maryland, 1996.
57. A.E. Deane, I.G. Kevrekidis, G.E. Karniadakis, and S.A. Orszag Low dimensional models for complex geometry flows: application to grooved channels and circular cylinders Fluids Physics A 3 10 1991 2337 2354
58. H.M. Park, and D.H. Cho Low dimensional modeling of flow reactors International Journal of Heat and Mass Transfer 39 16 1996 3311 3323
59. H.M. Park, and D.H. Cho The use of the Karhunen-Love decomposition for the modeling of distributed parameter systems Chemical Engineering Science 51 1 1996 81 98
60. A.J. Newman, Model reduction via the Karhunen-Love expansion part II: Some elementary examples, Technical Report T.R.96-33, University of Maryland, College Park, Maryland, 1996.
61. R.A. Adomaitis A reduced-basis discretization method for chemical vapor deposition reactor simulation Mathematical and Computer Modeling 38 1-2 2003 59 175
62. A. Armaou, and P.D. Christofides Computation of empirical eigenfunctions and order reduction for nonlinear parabolic PDE systems with time-dependent spatial domains Nonlinear Analysis 47 4 2001 2869 2874
63. H.T. Banks, R.C. Beeler, G.M. Kepler, and H.T. Tran Reduced-order model modeling and control of thin film growth in a HPCVD reactor SIAM Journal on Applied Mathematics 62 4 2002 1251 1280
64. A. Armaou, and P.D. Christofides Finite-dimensional control of nonlinear parabolic PDE systems with time-dependent spatial domains using empirical eigenfunctions International Journal of Applied Mathematics and Computer Science 11 2 2001 287 317
65. H.T. Banks, R.C.H. del Rosario, and R.C. Smith Reduced-order model feedback control design: numerical implementation in a thin shell model IEEE transaction on Automatic Control 45 7 2000 1312 1324
66. E. Bendersky, and P.D. Christofides Optimization of transport-reaction processes using nonlinear model reduction Chemical Engineering Science 55 19 2000 4349 4366
67. J. Baker, and P.D. Christofides Finite-dimensional approximation and control of non-linear parabolic PDE systems International Journal of Control 73 5 2000 439 456
68. H. Aling, S. Banerjee, A.K. Bangia, V. Cole, J. Ebert, A. Emani-Naeini, K.F. Jensen, I.G. Kevrekidis, and S. Shvartsman Nonlinear model reduction for simulation and control of rapid thermal processing Proceedings of the 1997 American Control Conference 1997 Albuquerque New Mexico 2233 2238
69. R.A. Adomaitis, RTCVD model reduction: A collocation on empirical eigenfunctions approach, Technical Report T.R.95-64, University of Maryland, College Park, Maryland, 1995.
70. J. Baker, and P.D. Christofides Output feedback control of parabolic PDE systems with nonlinear spatial differential operators Industrial & Engineering Chemistry Research 38 11 1999 4372 4380
71. A. Theodoropoulou, R.A. Adomaitis, and E. Zafiriou Model reduction for optimization of rapid thermal chemical vapor deposition systems IEEE Transactions on Semiconductor Manufacturing 11 1 1998 85 98
72. A. Dür On the optimality of the discrete Karhunen-Love expansion SIAM Journal on Control and Optimization 36 6 1998 1937 1939
73. M.D. Graham, and I.G. Kevrekidis Alternative approaches to the Karhunen-Love decomposition for model reduction and data analysis Computers and Chemical Engineering 20 5 1996 495 506
74. L. Ljung System Identification: Theory for the User 2nd ed. 1999 Prentice-Hall Englewood Cliffs, NJ
75. H.T. Banks, and K. Kunisch Estimation Techniques for Distributed Parameter Systems 1989 Boston Birkhauser
76. C.S. Kubrusly Distributed parameter system identification - a survey International Journal of Control 26 4 1977 509 535
77. M.P. Polis, and R.E. Goodson Parameter identification in distributed systems: a synthesizing overview Proceedings of the IEEE 64 1 1976 45 61
78. D. Coca, and S.A. Billings Direct parameter identification of distributed parameter systems International Journal of Systems Science 31 1 2000 11 17
79. L.Z. Guo, S.A. Billings, and H.L. Wei Estimation of spatial derivatives and identification of continuous spatio-temporal dynamical systems International Journal of Control 79 9 2006 1118 1135
80. B.M. Mohan, and K.B. Datta Identification via Fourier series for a class of lumped and distributed parameter systems IEEE Transactions on Circuits and Systems 36 11 1989 1454 1458
81. I.-R. Horng, J.-H. Chou, and C.-H. Tsai Analysis and identification of linear distributed systems via Chebyshev series International Journal of Systems Science 17 7 1986 1089 1095
82. P.N. Paraskevopoulos, and A.C. Bounas Distributed parameter system identification via Walsh-functions International Journal of Systems Science 9 1 1978 75 83
83. V. Ranganathan, A.N. Jha, and V.S. Rajamani Identification of linear distributed systems via Laguerre-polynomials International Journal of Systems Science 15 10 1984 1101 1106
84. V. Ranganathan, A.N. Jha, and V.S. Rajamani Identification of non-linear distributed systems via a Laguerre-polynomial approach International Journal of Systems Science 17 2 1986 241 249 (Pubitemid 16477664)
85. H.Y. Chung, and Y.Y. Sun Parameter identification of linear distributed systems via Taylor operational matrix IEEE Transactions on Industrial Electronics 35 3 1988 413 416
86. T.-T. Lee, and Y.-F. Chang Analysis and identification of linear distributed systems via double general orthogonal polynomials International Journal of Control 44 2 1986 395 405
87. B.M. Mohan, and K.B. Datta Linear time-invariant distributed parameter system identification via orthogonal functions Automatica 27 2 1991 409 412
88. T.G. Müller, and J. Timmer Parameter identification techniques for partial differential equations International Journal of Bifurcation and Chaos 14 6 2004 2053 2060
89. H. Voss, M.J. Bünner, and M. Abel Identification of continuous, spatiotemporal systems Physical Review E 57 3 1998 2820 2823
90. M. Bär, R. Hegger, and H. Kantz Fitting partial differential equations to space-time dynamics Physical Review E 59 1 1999 337 342
91. L.Z. Guo, and S.A. Billings Identification of partial differential equation models for continuous spatio-temporal dynamical systems IEEE Transactions on Circuits and Systems - II: Express Briefs 53 8 2006 657 661
92. A. Vande Wouwer, C. Renotte, I. Queinnec, and P.H. Bogaerts Transient analysis of a wastewater treatment biofilter - distributed parameter modelling and state estimation Mathematical and Computer Modelling of Dynamical Systems 12 5 2006 423 440
93. H.T. Banks, J.M. Crowley, and K. Kunisch Cubic spline approximation techniques for parameter estimation in distributed systems IEEE Transactions on Automatic Control 28 7 1983 773 786
94. R. Rannacher, and B. Vexler A priori error estimates for the finite element discretization of elliptic parameter identification problems with pointwise measurements SIAM Journal on Control and Optimization 44 5 2005 1844 1863
95. S. Omatu, and K. Matumoto Parameter identification for distributed systems and its application to air pollution estimation International Journal of Systems Science 22 10 1991 1993 2000 (Pubitemid 21706942)
96. H.M. Park, T.H. Kim, and D.H. Cho Estimation of parameters in flow reactors using the Karhunen-Love decomposition Computers and Chemical Engineering 23 1 1998 109 123
97. A. Ghosh, V. Ravi Kumar, and B.D. Kulkarni Parameter estimation in spatially extended systems: the Karhunen-Love and Galerkin multiple shooting approach Physical Review E 64 5 2001 056222
98. D. Uciński, and J. Korbicz Parameter identification of two-dimensional distributed systems International Journal of Systems Science 21 12 1990 2441 2456
99. E.M. Fernandez-Berdaguer, J.E. Santos, and D. Sheen An iterative procedure for estimation of variable coefficients in a hyperbolic system Applied Mathematics and Computation 76 2-3 1996 213 250
100. H.T. Banks, and P.K. Daniel Lamm Estimation of variable coefficients in parabolic distributed systems IEEE Transactions of Automatic Control 30 4 1985 386 398
101. H.T. Banks, S. Reich, and I.G. Rosen Galerkin approximation for inverse problems for nonautonomous nonlinear distributed systems Applied Mathematics and Optimization 24 3 1991 233 256
102. L. Carotenuto, and G. Raiconi Identifiability and identification of a Galerkin approximation for a class of distributed parameter-systems International Journal of Systems Science 11 9 1980 1035 1049
103. R. Gonzalez-Garcia, R. Rico-Martinez, and I.G. Kevredidis Identification of distributed parameter systems: a neural net based approach Computers and Chemical Engineering 22 1998 S965 S968
104. X.G. Zhou, L.H. Liu, Y.C. Dai, W.K. Yuan, and J.L. Hudson Modeling of a fixed-bed reactor using the KL expansion and neural networks Chemical Engineering Science 51 10 1996 2179 2188
105. N. Smaoui, and S. Al-Enezi Modelling the dynamics of nonlinear partial differential equations using neural networks Journal of Computational and Applied Mathematics 170 1 2004 27 58
106. R. Romijn, L. Özkan, S. Weiland, J. Ludlage, and W. Marquardt A grey-box modeling approach for the reduction of nonlinear systems Journal of Process Control 18 9 2008 906 914
107. C.K. Qi, and H.-X. Li Nonlinear dimension reduction based neural modeling for spatio-temporal processes Chemical Engineering Science 64 19 2009 4164 4170
108. H. Deng, H.-X. Li, and G. Chen Spectral-approximation-based intelligent modeling for distributed thermal processes IEEE Transactions on Control Systems Technology 13 5 2005 686 700
109. H.-X. Li, H. Deng, and J. Zhong Model-based integration of control and supervision for one kind of curing process IEEE Transactions on Electronics Packaging Manufacturing 27 3 2004 177 186
110. S. Mandelj, I. Grabec, and E. Govekar Statistical approach to modeling of spatiotemporal dynamics International Journal of Bifurcation and Chaos 11 11 2001 2731 2738
111. S. Mandelj, I. Grabec, and E. Govekar Nonparametric statistical modeling approach of spatiotemporal dynamics based on recorded data International Journal of Bifurcation and Chaos 14 6 2004 2011 2025
112. M. Abel Nonparametric modeling and spatiotemporal dynamical systems International Journal of Bifurcation and Chaos 14 6 2004 2027 2039
113. E. Aggelogiannaki, and H. Sarimveis Nonlinear model predictive control for distributed parameter systems using data driven artificial neural network models Computers and Chemical Engineering 32 6 2008 1225 1237
114. D. Coca, and S.A. Billings Identification of coupled map lattice models of complex spatio-temporal patterns Physics Letters A 287 1 2001 65 73
115. S.A. Billings, and D. Coca Identification of coupled map lattice models of deterministic distributed parameter systems International Journal of Systems Science 33 8 2002 623 634
116. L.Z. Guo, and S.A. Billings Sate-space reconstruction and spatio-temporal prediction of lattice dynamical systems IEEE Transactions on Automatic Control 52 4 2007 622 632
117. D. Coca, and S.A. Billings Identification of finite dimensional models of infinite dimensional dynamical systems Automatica 38 11 2002 1851 1865
118. D. Zheng, K.A. Hoo, and M.J. Piovoso Low-order model identification of distributed parameter systems by a combination of singular value decomposition and the Karhunen-Love expansion Industrial & Engineering Chemistry Research 41 6 2002 1545 1556
119. D. Zheng, and K.A. Hoo Low-order model identification for implementable control solutions of distributed parameter system Computers and Chemical Engineering 26 7-8 2002 1049 1076
120. D. Zheng, and K.A. Hoo System identification and model-based control for distributed parameter systems Computers and Chemical Engineering 28 8 2004 1361 1375
121. C.C. Doumanidis, and N. Fourligkas Temperature distribution control in scanned thermal processing of thin circular parts IEEE Transactions on Control Systems Technology 9 5 2001 708 717
122. H.-X. Li, and C.K. Qi Incremental modeling of nonlinear distributed parameter processes via spatio-temporal kernel series expansion Industrial & Engineering Chemistry Research 48 6 2009 3052 3058
123. H.-X. Li, C.K. Qi, and Y.G. Yu A spatio-temporal Volterra modeling approach for a class of distributed industrial processes Journal of Process Control 19 7 2009 1126 1142
124. C.K. Qi, and H.-X. Li A Karhunen-Love decomposition based Wiener modeling approach for nonlinear distributed parameter processes Industrial & Engineering Chemistry Research 47 12 2008 4184 4192
125. C.K. Qi, and H.-X. Li A time/space separation based Hammerstein modeling approach for nonlinear distributed parameter processes Computers & Chemical Engineering 33 7 2009 1247 1260
126. C.K. Qi, H.-T. Zhang, and H.-X. Li A multi-channel spatio-temporal Hammerstein modeling approach for nonlinear distributed parameter processes Journal of Process Control 19 1 2009 85 99
127. Y. Sunahara, S. Aihara, and F. Kojima A method of parameter estimation of a class of non-linear distributed systems under noisy observations Automatica 22 6 1986 727 732
128. M.A. Demetriou, and I.G. Rosen Adaptive identification of second-order distributed parameter systems Inverse Problems 10 2 1994 261 294
129. M.A. Demetriou, and I.G. Rosen On the persistence of excitation in the adaptive estimation of distributed parameter systems IEEE Transactions on Automatic Control 39 5 1994 1117 1123
130. M.A. Demetriou, and I.G. Rosen On-line robust parameter identification for parabolic systems International Journal of Adaptive Control and Signal Processing 15 6 2001 615 631
131. Y. Orlov, and J. Bentsman Adaptive distributed parameter systems identification with enforceable identifiability conditions and reduced-order spatial differentiation IEEE Transactions on Automatic Control 45 2 2000 203 216
132. H. Hjalmarsson From experiment design to closed-loop control Automatica 41 3 2005 393 438
133. M. Barenthin, and H. Hjalmarsson Identification and control: joint input design and H-infinity state feedback with ellipsoidal parametric uncertainty via LMIs Automatica 44 2 2008 543 551
134. R. Hildebrand, and G. Solari Identification for control: optimal input intended to identify a minimum variance controller Automatica 43 5 2007 758 767
135. A.J. Helmicki, C.A. Jacobson, and C.N. Nett Control-oriented modeling and identification of distributed parameter systems G. Chen, al. et, New Trends and Applications of Distributed Parameter Control Systems - Proceedings of the 1989 IMA Workshop on Control of Distributed Parameter Systems 1990 Marcel-Dekker New York Chapter 10
136. A.J. Helmicki, C.A. Jacobson, and C.N. Nett Control-oriented modeling of distributed parameter systems Journal of Dynamic Systems, Measurement, and Control 144 3 1992 339 346
137. L. Ding, A. Johansson, and T. Gustafsson Application of reduced models for robust control and state estimation of a distributed parameter system Journal of Process Control 19 3 2009 539 549
138. Z.H. Qureshi, T.S. Ng, and G.C. Goodwin Optimum experimental design for identification of distributed parameter systems International Journal of Control 31 1 1980 21 29
139. E. Rafajłowicz Optimal experiment design for identification of linear distributed parameter systems: frequency domain approach IEEE Transactions on Automatic Control 28 7 1983 806 808
140. E. Rafajłowicz Optimum choice of moving sensor trajectories for distributed-parameter system identification International Journal of Control 43 5 1986 1441 1451
141. M. Patan Optimal activation policies for continuous scanning observations in parameter estimation of distributed systems International Journal of Systems Science 37 11 2006 763 775
142. A. Rensfelt, S. Mousavi, M. Mossberg, and T. Söderström Optimal sensor locations for nonparametric identification of viscoelastic materials Automatica 44 1 2008 28 38
143. A. Vande Wouwer, N. Point, S. Porteman, and M. Remy An approach to the selection of optimal sensor locations in distributed parameter systems Journal of Process Control 10 4 2000 291 300
144. D. Uciński Optimal sensor location for parameter estimation of distributed processes International Journal of Control 73 13 2000 1235 1248
145. C.S. Kubrusly, and H. Malebranche Sensors and controllers location in distributed systems - a survey Automatica 21 2 1985 117 128
146. M. Van de Wal, and B. de Jager A review of methods for input/output selection Automatica 37 2001 487 510
147. D. Uciński Optimal measurement methods for distributed parameter system identification 2005 CRC Press Boca Raton, Fla
148. U. Forssell, and L. Ljung Some results on optimal experiment design Automatica 36 5 2000 749 756
149. X. Bombois, G. Scorletti, M. Gevers, P.M.J. Van den Hof, and R. Hildebrand Least costly identification experiment for control Automatica 42 10 2006 1651 1662
150. L. Pronzato Optimal experimental design and some related control problems Automatica 44 2 2008 303 325