Passivity based control of transport reaction systems

AIChE Journal

Volumn 51, Issue 12, 2005, Pages 3147-3166

  Ruszkowski, Martin ^a   Garcia Osorio, Vianey ^a   Ydstie, B Erik ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Coarse graining; Convexity; Distributed parameter system; Entropy; Feedback; Invariant set; Irreversible thermodynamics; Minimum entropy production; Nonlinear; Passivity; Process control; Reciprocity relations; Stability

Indexed keywords

COARSE GRAINING; CONVEXITY; DISTRIBUTED PARAMETER SYSTEM; INVARIANT SET; IRREVERSIBLE THERMODYNAMICS; MINIMUM ENTROPY PRODUCTION; NONLINEAR; PASSIVITY; RECIPROCITY RELATIONS;

ENTROPY; FEEDBACK CONTROL; GAIN CONTROL; INVARIANCE; NONLINEAR SYSTEMS; PASSIVATION; PROCESS CONTROL; STATISTICAL MECHANICS; THERMODYNAMICS;

INVENTORY CONTROL;

CONTROL SYSTEM;

EID: 30544436872     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.10543     Document Type: Conference Paper

References (67)

1. Christofides PD. Control of nonlinear distributed process systems: Recent developments and challenges. AIChE J. 2001:514-518.
2. Buckley PS. Techniques of Process control. New York: John Wiley & Sons, Inc; 1964.
3. Shinskey FG. Process Control Systems: Application, Design, Adjustment. New York: McGraw Hill; 1967.
4. Georgakis C. On the use of extensive variables in process dynamics and control. Chem Eng Sci. 1986;41:1471-1484.
5. Farschman CA, Viswanath K, Ydstie BE. Process systems and inventory control. AIChE J. 1998;44:1841-1857.
6. Ray WH. Some Recent Application of distributed parameter systems theory - A survey. Automatica. 1978;14:281-287.
7. Aling H, Benerjee S, Bangia A, Cole V, Ebert J, Emani-Naeini A, Jensen K, Kevrekidis I, Shvartsman S. Nonlinear model reduction for simulation and control of rapid thermal processing. Proceeding of American Control Conference: Albuquerque, NM: 1997;2233-2238.
8. Balas MJ. Finite-dimensional control of distributed parameter systems by Galerkin approximation of infinite dimensional controllers. J of Math Anal and Appls. 1986; 114:17-36.
9. Christofides PD. Nonlinear and Robust Control of PDE Systems. Berlin: Birkhauser; 2000.
10. Temam R. Infinite-Dimensional Dynamical Systems in Mechanics and Physics. New York: Springer-Verlag; 1988.
11. Brown HS, Jolly MS, Kevrikidis IG, Titi ES. Use of Approximate Inertial Manifolds in Bifurcation Calculations. Continuation and Bifurcations: Numerical Techniques and Applications. (D. Roose, B. de Dier, and A. Spence, eds.) Netherlands: Kluwer Acad. Publisher; 1990:9-23.
12. Smoller J. Shock Waves and Reaction Diffusion Equations. New York: Springer Verlag; 1996.
13. Deane AE, Kevrikidis IG, Karniadakis GE, Orszag SA. Low dimensional models for complex geometry flows: Application to grooved channels and circular cylinders. Phys Fuids A. 1991;3:2337-2354.
14. Christofides PD. Daoutidis P. Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds; J Math Anal Appl. 1997;216:398-420.
15. Kazantzis N, Good T. Invariant manifolds and the calculation of the long-term asymptotic response of nonlinear processes using singular PDEs. Comp and Chem Eng. 2003;29:999-1012.
16. Slotine JJ, Li S. Applied Nonlinear Control. Englewood Cliffs ;NJ: Prentice Hall; 1992.
17. Sontag ED. Mathematical Control Theory: Deterministic Finite Dimensional Systems. 2nd ed. New York: Springer; 1998.
18. Christofides PD, Daoutidis P. Robust Control of Hyperbolic PDE Systems, Chem. Eng. Sci., 1998; 53:85-105.
19. Christofides PD, Robust control of parabolic PDE systems, Chem Eng Sci. 1998:53:2449-2465.
20. El-Farra N, Armaou A, Christofides PD. Analysis and control of parabolic PDE systems with input constraints. Automatica. 2003;39:715-725.
21. Kazantzis N, Kravaris C. Energy-predictive control: A new synthesis approach for nonlinear process control. Chem Eng Sci. 1999;54:1697-1709.
22. Palazoglu A, Owens SE. Robustness Analysis of a fixed-bed tubular reactor: Impact of modeling decisions. Chem Eng Commun. 1987;59:213-227.
23. Hanczyc EM, Palazoglu A. Sliding mode control of nonlinear distributed parameter chemical processes. Ind. & Eng. Chem Res. 1995;34:557-566.
24. Sira-Ramirez H. Distributed sliding mode control in systems described by quasilinear partial differential equations. System and Control Letts. 1989; 13:171-181.
25. Godasi S, Karakas A, Palazoglu A. Control of nonlinear distributed parameter processes using symmetry groups and invariance conditions. Comp. & Chem. Eng. 2002;26:1023-1036.
26. Ydstie BE, Jiao J. Passivity based inventory and flow control in flat glass manufacture, Proc. IEEE-CDC, Bahamas; December 14-17, 2004.
27. Ruszkowski M, Read M, Kaiser RW, Richardson P, Kern T, Ydstie BE. Passivity based control and optimization of a silicon process. Proc. IFAC World Congress; (M. Simandl and P. Horacek, eds.) July 4-8, 2005. Praha, Czech Republic, paper TU-M06-TO/I.
28. Desoer CA, Vidyasagar M. Feedback Systems: Input-Output Properties. New York: Academic Press; 1975.
29. Willems JC. Dissipative dynamical systems, Part I: General theory. Arch Rational Mech. Anal. 1972a;45:321-351.
30. Willems JC. Dissipative dynamical systems, Part II: Linear systems with quadratic supply rates. Arch Rational Mech Anal. 1972b;45:352-393.
31. Byrnes CI, Isidori AJ, Willems JC. Passivity, feedback equivalence, and the global gtabilization of minimum phase nonlinear systems. IEEE Transactions on Automatic Control. 1991;36:1228-1240.
32. van der Schaft A. L2-gain and passivity techniques in nonlinear control. London U.K: Springer-Verlag Lecture Notes in Control and Information Science; 1996:218.
33. Ortega R, Loria A, Nicklasson PJ, Sira-Ramirez H. Passivity - based control of Euler - Lagrange systems, Berlin: Communications and Control Engineering. Springer-Verlag; 1998.
34. Ortega R. van der Schaft A, Mareels I, Maschke B. Putting energy back in control. IEEE Control Systems Magazine; 2001;4:18-33.
35. Krstic M, Kanellakopoulos I, Kokotovic P. Nonlinear and adaptive control design, New York: John Wiley & Sons, Inc; 1995.
36. Ydstie BE, Alonso AA. Process systems and passivity via the Clausius-Planck inequality. Systems and Control Letts. 1997;30:253-264.
37. Alonso AA, Ydstie BE. Stabilization of distributed systems using irreversible thermodynamics. Automatica. 2001;37:1739-1755.
38. Ydstie BE. Passivity based control via the second law, Comp. and Chem. Eng. 2002;26:1037-1048.
39. Coffey DP, Farschman CA, Ydstie BE A. Distillation Stability Using Passivity and Thermodynamics. Comps Chem Eng. 2000;24:317-322
40. Ruelle D. Statistical Mechanics Rigorous Results, Amsterdam: WA. Benjamin Inc; 1969.
41. Wang F, Landau DP. Determining the density of states for classical statistical models: a random walk algorithm to produce a flat histogram. Phys Rev E. 2001;64:1-16.
42. Shell SM, Debenedetti PG, Panagiotopoulos AZ. Generalization of the Wang-Landau method for off lattice simulations. Phys Rev E. 2002:66.
43. Kestin J, Dorfman JR. A course in statistical mechanics, New York: Academic Press; 1971.
44. nd ed. New York: JohnWiley & Sons Inc; 1985.
45. rd ed. New York: JohnWiley & Sons Inc; 1999.
46. Coleman BD, Owen DR. A mathematical foundation for thermodynamics. Arch Rational Mechanics. 1974;54,1-104.
47. Hangos K, Cameron IT. Process Modeling and Model Analysis. New York: Academic Press; 2001.
48. Kreuzer HJ. Nonequilibrium Thermodynamics and its Statistical Foundations. Oxford: Clarendon Press; 1981.
49. Astarita G. Thermodynamics: an advanced textbook for chemical engineers. New York: Plenum Press; 1990.
50. Ottinger HC. Beyond equilibrium thermodynamics, Hoboken, NJ: Wiley Interscience; 2005
51. Lohmiller W. JJ Slotine, On contraction analysis for nonlinear systems. Automatica. 1998;34:683-696.
52. Straughan B. The energy method, stability, and nonlinear convection. Berlin: Springer-Verlag. Appl Math Sci Ser. 1992;91.
53. Struwe M. Variational methods. Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems. New York: Springer Verlag; 1992.
54. Sontag ED. Mathematical Control Theory. Texts in Applied Mathematics 6. New York: Springer Verlag; 1990.
55. Khalil K. Nonlinear Systems. Englewood Cliffs, NJ: Prentice Hall Professional Technical 1996.
56. Gilles ED. Network theory for chemical processes. Chem Eng Tech. 1998;21:121-132.
57. Hangos KM, Alonso AA, Perkins JD, Ydstie BE. Thermodynamic approach to the structural stability of process plants. AIChE J. 1999; 45:802-816.
58. Ydstie BE. Distributed decision making in complex networks: The adaptive enterprise. Comp Chem Eng. 2005;24.
59. Jillson KR, Ydstie BE. Process networks. Paper to be presented in IFAC World Congress: Czech Republic; Praha; 2005.
60. Peusner L. Studies in Network Thermodynamics. Amsterdam: Elsevier, 1986.
61. Wang J, Ydstie BE. Robust inventory control of process systems. Boston: American Control Conference; 2004.
62. Ruskowski M. Passivity Based Control of Transport-Reaction Systems: Application to Silicon Production. Chemical Engineering; Carnegie Mellon University; 2003. PhD.
63. Kondepudi DK, Prigogine I. Modern thermodynamics: From heat engines to dissipative structures. New York : John Wiley & Sons, Inc; 1995.
64. Onsager L, Machlup S. Fluctuations and irreversible processes. Phys Rev. 1953;91:1301-1308.
65. Gelfand IM, Fomin SV. Calculus of variations. Mineola; NY: Dover Publications; 1963.
66. Glansdorff P, Prigogine I. Non-Equilibrium Stability Theory. Physica. 1970;46:344-366.
67. Wei J. Irreversible thermodynamics in engineering. Ind and Eng Chem. 1966;58:55-60.