Reconfigurable control of piecewise affine systems with actuator and sensor faults: Stability and tracking

Automatica

Volumn 47, Issue 4, 2011, Pages 678-691

  Richter, J H ^a   Heemels, W P M H ^b   Van De Wouw, N ^b   Lunze, J ^c  

^a SIEMENS AG   (Germany)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^c RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

Actuator faults; Control reconfigurability; Fault tolerant control; Input to state stability; Multivariable control systems; Piecewise affine systems; Sensor faults; Tracking

Indexed keywords

ACTUATOR FAULT; FAULT-TOLERANT CONTROL; INPUT-TO-STATE STABILITY; MULTIVARIABLE CONTROL; PIECEWISE AFFINE SYSTEMS; SENSOR FAULTS; TRACKING;

ACTUATORS; COMPUTATIONAL EFFICIENCY; CONTINUOUS TIME SYSTEMS; FEEDBACK CONTROL; LINEAR MATRIX INEQUALITIES; MULTIVARIABLE CONTROL SYSTEMS; SENSORS; STABILITY; SYSTEM STABILITY; UNCERTAINTY ANALYSIS;

CONTROL SYSTEM STABILITY;

EID: 79953165297     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2011.01.048     Document Type: Article

References (82)

1. D. Angeli A Lyapunov approach to incremental stability properties IEEE Transactions on Automatic Control 47 3 2002 410 421 (Pubitemid 34536795)
2. A.E. Ashari, A.K. Sedigh, and M.J. Yazdanpanah Reconfigurable control system design using eigenstructure assignment: static, dynamic and robust approaches International Journal of Control 78 13 2005 1005 1016 (Pubitemid 41663491)
3. Aßfalg, J.; & Allgwer, F. (2006). Fault diagnosis with structured augmented state models: modeling, analysis, and design. In Proc. 2006 conf. decision control(pp. 11651170) San Diego, USA. (Pubitemid 351283504)
4. A. Ben-Israel, and T.N.E. Greville Generalized Inverses CMS books in mathematics 2nd ed. 2003 Springer
5. Benosman, M.; & Lum, K.-Y. (2008). Passive actuators' fault tolerant control for affine nonlinear systems. In Proc. 17th IFAC world congress (pp. 1422914234) Seoul, Korea, July 2008.
6. M. Blanke, M. Kinnaert, J. Lunze, and J. Staroswiecki Diagnosis and fault-tolerant control 2nd ed. 2006 Springer
7. V.D. Blondel, and J.N. Tsitsiklis Complexity of stability and controllability of elementary hybrid systems Automatica 35 3 1999 479 490
8. V.D. Blondel, and J.N. Tsitsiklis A survey of computational complexity results in systems and control Automatica 36 9 2000 1249 1274
9. M. Bodson, and J.E. Groszkiewicz Multivariable adaptive algorithms for reconfigurable flight control IEEE Transactions on Control Systems Technology 5 2 1997 217 229 (Pubitemid 127775067)
10. C. Bonivento, A. Isidori, L. Marconi, and A. Paoli Implicit fault-tolerant control: application to induction motors Automatica 40 3 2004 355 371
11. J.H. Bonsel, R.H.B. Fey, and H. Nijmeijer Application of a dynamic vibration absorber to a piecewise linear beam system Nonlinear Dynamics 37 3 2004 227 243
12. Bokovi, J.D.; & Mehra, R.K. (2006). A multiple model-based decentralized system for accommodation of failures in second-order flight control actuators. In Proc. 2006 American control conf. (pp. 44364441) Minneapolis, USA. (Pubitemid 46531517)
13. M.K. Camlibel, W.P.M.H. Heemels, and J.M. Schumacher Algebraic necessary and sufficient conditions for the controllability of conewise linear systems IEEE Transactions on Automatic Control 53 3 2008 762 774 (Pubitemid 351597182)
14. V. Carmona, E. Freire, E. Ponce, and F. Torres On simplifying and classifying piecewise-linear systems IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 49 5 2002 609 620 (Pubitemid 34711461)
15. W. Chen, and M. Saif Adaptive actuator fault detection, isolation and accommodation in uncertain systems International Journal of Control 80 1 2007 45 63 (Pubitemid 44726487)
16. Demidovich, B.P. Lectures on Stability Theory. Nauka, Moscow, 1967 (in Russian).
17. F.M. Discenzo, P.J. Unsworth, K.A. Loparo, and H.O. Marcy Self-diagnosing intelligent motors: a key enabler for nextgeneration manufacturing systems IEE colloquium on intelligent and self-validating sensors 1999 Oxford UK 3/1 3/4
18. G. Ferrari-Trecate, M. Muselli, D. Liberati, and M. Morari A clustering technique for the identification of piecewise affine systems Automatica 39 2 2003 205 217
19. Z. Gao, and P.J. Antsaklis Reconfigurable control system design via perfect model following International Journal of Control 56 4 1992 783 798
20. J. Gertler Fault detection and diagnosis in engineering systems 1998 Marcel Dekker New York
21. W.P.M.H. Heemels, B. de Schutter, and A. Bemporad Equivalence of hybrid dynamical models Automatica 37 7 2001 1085 1091 (Pubitemid 32498993)
22. Ingimundarson, A.; & Snchez Pea, R.S. (2008). Using the unfalsified control concept to achieve fault tolerance. In Proc. 17th IFAC world congress(pp. 12361242) Seoul, Korea, July 2008.
23. R. Isermann Fault-Diagnosis systems. an introduction from fault detection to fault tolerance 2006 Springer
24. B. Jiang, M. Staroswiecki, and V. Cocquempot Fault accommodation for nonlinear dynamic systems IEEE Transactions on Automatic Control 51 9 2006 1578 1583 (Pubitemid 44445249)
25. Z.-P. Jiang, A.R. Teel, and L. Praly Small-gain theorem for ISS systems and applications Mathematics of Control, Signals, and Systems 7 1994 95 120
26. M. Johansson Piecewise linear control systems LNCIS vol. 284 2003 Springer
27. M. Johansson, and A. Rantzer Computation of piecewise quadratic Lyapunov functions for hybrid systems IEEE Transactions on Automatic Control 43 4 1998 555 559 (Pubitemid 128737378)
28. A. Juloski, W.P.M.H. Heemels, and S. Weiland Observer design for a class of piecewise linear systems International Journal of Robust and Nonlinear Control 17 15 2007 1387 1404 (Pubitemid 47509834)
29. A.L. Juloski, S. Weiland, and W.P.M.H. Heemels A bayesian approach to identification of hybrid systems IEEE Transactions on Automatic Control 50 10 2005 1520 1533 (Pubitemid 41555602)
30. H.K. Khalil Nonlinear systems 3rd ed. 2002 Prentice Hall
31. H. Lin, and P.J. Antsaklis Stability and stabilizability of switched linear systems: A survey of recent results IEEE Transactions on Automatic Control 54 2 2009 308 322
32. J. Lunze, F. Lamnabhi-Lagarrigue, The HYCON handbook of hybrid systems: control, theory, applications 2009 Cambridge University Press
33. J. Lunze, and J.H. Richter Reconfigurable fault-tolerant control: a tutorial introduction European Journal of Control 14 5 2008 359 386
34. Lfberg, J. (2004). Yalmip: A toolbox for modeling and optimization in MATLAB. In Proceedings of the CACSD conference, Taipei, Taiwan. http://control.ee.ethz.ch/~joloef/yalmip.php.
35. Maciejowski, J.M.; & Jones, C.N. (2003). MPC fault-tolerant flight control case study: Flight 1862. In Proc. 5th IFAC Sympos. Fault Detection, Supervision and Safety for Techn. Processes, number M1-C1, Washington DC, USA (pp. 121126).
36. M. Mahmoud, J. Jiang, and Y. Zhang Active fault tolerant control systems 2003 Springer
37. Martnez, J.J.; Seron, M.M.; & de Don, J. (2008). Fault-tolerant switching scheme with multiple sensor-controller pairs. In Proc. 17th IFAC world congress(pp. 12121217) Seoul, Korea, July 2008.
38. H. Nakada, K. Takaba, and T. Katayama Identification of piecewise affine systems based on statistical clustering technique Automatica 41 5 2005 905 913 (Pubitemid 40352405)
39. Nayebpanah, N.; Rodrigues, L.; & Zhang, Y. (2009). Fault identification and reconfigurable control for bimodal piecewise affine systems. In Proc. european control conference (pp. 26942699) Budapest, Hungary, August 2009.
40. H. Niemann, and J. Stoustrup An architecture for fault tolerant controllers International Journal of Control 78 14 2005 1091 1110 (Pubitemid 41657389)
41. C. Ocampo-Martinez, and V. Puig Fault-tolerant model predictive control within the hybrid systems framework: application to sewer networks Int. J. adaptive control and signal processing 2008 10.1002/acs.1099
42. Ocampo-Martnez, C.; de Don, J.; & Seron, M.M. (2008). Actuator fault-tolerant control based on invariant set separation. In Proc. 17th IFAC world congress(pp. 72767281) Seoul, Korea, July 2008.
43. Olaru, S.; de Don, J.; & Seron, M.M. (2008). Positive invariant sets for fault tolerant multisensor control schemes, In Proc. 17th IFAC world congress (pp. 12241229) Seoul, Korea, July 2008.
44. Parisini, T.; & Sacone, S. (1998). Fault diagnosis and controller re-configuration: an hybrid approach. In Proc. 1998 IEEE ISIC/CIRA/ISAS joint conf. (pp. 163168) Gaithersburg, USA.
45. A. Pavlov, N. van de Wouw, and H. Nijmeijer Uniform output regulation of nonlinear systems Systems and control: foundations and applications 2006 Birkhuser
46. A. Pavlov, A. Pogromsky, N. van de Wouw, and H. Nijmeijer On convergence properties of piecewise affine systems International Journal of Control 80 8 2007 1233 1247 (Pubitemid 350021219)
47. J. Quevedo, V. Puig, and M. Serra Polynomial approach to design a virtual actuator for fault-tolerant control: application to a PEM fuel cell Advanced control and diagnosis 2007 1 6 IAR ICD Working Group
48. J.H. Richter, and J. Lunze Reconfigurable control of Hammerstein systems after actuator failures: stability, tracking, and performance International Journal of Control 83 8 2010 1612 1630
49. J.H. Richter, T. Schlage, and J. Lunze Control reconfiguration of a thermofluid process by means of a virtual actuator IET Control Theory & Applications 1 6 2007 1606 1620 (Pubitemid 350136747)
50. Richter, J.H.; Heemels, W.P.M.H.; van de Wouw, N.; & Lunze, J. (2008). Reconfigurable control of piecewise affine systems with actuator and sensor faults. In 47th conf. decision and control (CDC). (pp. 10601065) Cancun, Mexico, December 2008.
51. Richter, J.H.; Heemels, W.P.M.H.; van de Wouw, N.; & Lunze, J. Reconfigurable control of piecewise affine systems with actuator and sensor faults: stability and tracking. Technical Report 2010.04, Institute of Automation and Computer Control, Ruhr-Universitt Bochum, Universittsstrasse 150, 44780 Bochum, Germany, 2010. http://www.atp.rub.de.
52. Rodrigues, M.; Theilliol, D.; & Sauter, D. (2006). Fault tolerant control design for switched systems. In Proc. 2nd IFAC conf. on analysis and design of hybrid systems (pp. 223228) Alghero, Italy, June 2006.
53. Rosich, A.; Puig, V.; & Quevedo, J. (2006). Fault-tolerant constrained MPC of fuel cells. IAR annual meeting, Universit Henri Poincar. Nancy, France.
54. R.R. Selmic, M.M. Polycarpou, and T. Parisini Actuator fault detection in nonlinear uncertain systems using neural on-line approximation models European Journal of Control 15 1 2009 29 44
55. Seron, M.M.; & de Don, J. (2009). Fault tolerant control using virtual actuators and invariant-set based fault detection and identification. In Proc. 48th conference on decision and control. Shanghai, China (December).
56. E.D. Sontag The ISS philosophy as a unifying framework for stability-like behavior Nonlinear control in the year 2000 LNCIS Vol. 259 2001 Springer 443 467
57. E.D. Sontag Nonlinear regulation: The piecewise linear approach IEEE Transactions on Automatic Control 26 2 1981 346 358
58. E.D. Sontag Smooth stabilisation implies coprime factorization IEEE Transactions on Automatic Control 34 4 1989 435 443
59. E.D. Sontag On the input-to-state stability property European Journal of Control 1 1995 24 36
60. Staroswiecki, M.; Yang, H.; & Jiang, B. (2006). Progressive accommodation of aircraft actuator faults. In Proc. 6th IFAC sympos. fault detection, supervision and safety for techn. processes (pp. 877882) Beijing, China.
61. Steffen, T.; Davies, J.; Dixon, R.; Goodall, R.M.; Pearson, J.; & Zolotas, A. (2008). Failure modes and probabilities of a high redundancy actuator. In Proc. 17th IFAC world congress (pp. 32343239) Seoul, Korea, July 2008.
62. J. Stoustrup, and V.D. Blondel Fault tolerant control: A simultaneous stabilization result IEEE Transactions on Automatic Control 49 2 2004 305 310
63. Stoustrup, J.; & Niemann, H. (2006). Active fault diagnosis by temporary destabilization. In Proc. 6th IFAC sympos. fault detection, supervision and safety for techn. processes Beijing, China. August 2006.
64. J. Sturm Using Sedumi 1.02, a Matlab toolbox for optimization over symmetric cones Optimization Methods and Software 11 1999 625 653
65. Tran, T.H.; Stursberg, O.; & Engell, S. (2007). Reconfiguration of discretely controlled hybrid systems for changing specifications. In Proc. 1st IFAC workshop on dependable control of discrete systems (pp. 247252) Paris, France.
66. Tsuda, K.; Mignone, D.; Ferrari-Trecate, G.; & Morari, M. (2001). Reconfiguration strategies for hybrid systems. In Proc. 2001 American control conference, Vol. 2 (pp. 868873) Arlington, VA, USA. (Pubitemid 32837594)
67. N. van de Wouw, and A. Pavlov Tracking and synchronisation for a class of PWA systems Automatica 44 11 2008 2909 2915
68. N. van de Wouw, A. Pavlov, and H. Nijmeijer Controlled synchronisation of continuous piecewise affine systems in group coordination and cooperative control Lecture Notes in Control and Information Sciences Vol. 336 2006 Springer 271 289
69. C. Wen, S. Wang, X. Jin, and X. Ma Identification of dynamic systems using piecewise-affine basis function models Automatica 43 10 2007 1824 1831 (Pubitemid 47374635)
70. Wolff, F.; Krutina, P.; & Krebs, V. (2008). Robust consistency-based diagnosis of nonlinear systems by set observation. In Proc. 17th IFAC world congress(pp. 1012410129) Seoul, Korea. July 2008.
71. N.E. Wu, S. Thavamani, Y. Zhang, and M. Blanke Sensor fault masking of a ship propulsion system Control Engineering Practice 14 11 2006 1337 1345 (Pubitemid 44191850)
72. Yang, H.; Jiang, B.; Cocquempot, V.; & Staroswiecki, M. (2006). Adaptive fault tolerant strategy for hybrid systems with faults independently affecting on outputs. In Proc. 6th IFAC sympos. fault detection, supervision and safety for techn. processes (pp. 10211026) Beijing, China.
73. H. Yang, Z.-H. Mao, and B. Jiang Model-based fault tolerant control for hybrid dynamic systems with sensor faults Acta Automatica Sinica 32 5 2006 680 685 (Pubitemid 44723670)
74. H. Yang, B. Jiang, and M. Staroswiecki Observer-based fault-tolerant control for a class of switched nonlinear systems IET Control Theory & Applications 1 5 2007 1523 1532 (Pubitemid 47283345)
75. H. Yang, V. Cocquempot, and B. Jiang Fault tolerance analysis for switched systems via global passivity. IEEE Transactions on Circuits and Systems II 55 12 2008 1279 1283
76. H. Yang, B. Jiang, and V. Cocquempot A fault tolerant control framework for periodic switched non-linear systems International Journal of Control 82 1 2009 117 129
77. Yang, Z. (2000). A hybrid system approach towards redundant fault-tolerant control systems. In Proc. 39th IEEE conf. decision and control. Sydney, Australia. December.
78. X. Zhang, M.M. Polycarpou, and T. Parisini A robust detection and isolation scheme for abrupt and incipient faults in nonlinear systems IEEE Transactions on Automatic Control 47 4 2002 576 593 (Pubitemid 34554827)
79. Zhang, Y.; & Jiang, J. (2003). Bibliographical review on reconfigurable fault-tolerant control systems. In Proc. 5th IFAC sympos. fault detection, supervision and safety for techn. processes (pp. 265276). Vol. M2C1. Washington DC, USA.
80. Zhang, Y.; & Jiang, J. (2006). Issues on integration of fault diagnosis and reconfigurable control in active fault-tolerant control systems. In Proc. 6th IFAC sympos. fault detection, supervision and safety for techn. processes(pp. 15131524) Beijing, China.
81. Y. Zhang, and S.J. Qin Adaptive actuator/component fault compensation for nonlinear systems AIChe Journal 54 9 2008 2404 2412
82. G.M. Ziegler Lectures on Polytopes revised 1st edition 1998 Springer