Robust predictive control of switched systems: Satisfying uncertain schedules subject to state and control constraints

International Journal of Adaptive Control and Signal Processing

Volumn 22, Issue 2, 2008, Pages 161-179

  Mhaskar, Prashant ^a   El Farra, Nael H ^b   Christofides, Panagiotis D ^c  

^a MCMASTER UNIVERSITY   (Canada)

^b University of California   (United States)

^c University of California   (United States)

Author keywords

Bounded lyapunov based control; Input constraints; Multiple lyapunov functions; Robust model predictive control; Stability regions; Switched systems; Uncertainty

Indexed keywords

LYAPUNOV FUNCTIONS; SWITCHING NETWORKS; UNCERTAINTY ANALYSIS;

INPUT CONSTRAINTS; ROBUST MODEL PREDICTIVE CONTROL; STABILITY REGIONS; SWITCHED SYSTEMS;

PREDICTIVE CONTROL SYSTEMS;

EID: 41849113852     PISSN: 08906327     EISSN: 10991115     Source Type: Journal    
DOI: 10.1002/acs.975     Document Type: Article

References (28)

1. Yamalidou EC, Kantor J. Modeling and optimal control of discrete-event chemical processes using petri nets. Computers and Chemical Engineering 1990; 15:503-519.
2. Grossmann IE, van den Heever SA, Harjukoski I. Discrete optimization methods and their role in the integration of planning and scheduling. Proceedings of the 6th International Conference on Chemical Process Control, Tucson, AZ, 2001; 124-152.
3. Branicky MS. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Transactions on Automatic Control 1998; 43:475-482.
4. Liberzon D, Morse AS. Basic problems in stability and design of switched systems. IEEE Control Systems Magazine 1999; 19:59-70.
5. Hespanha JP, Morse AS. Stability of switched systems with average dwell time. Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, AZ, 1999; 2655-2660.
6. Decarlo RA, Branicky MS, Pettersson S, Leenartson B. Perspectives and results on the stability and stabilizability of hybrid systems. Proceedings of the IEEE 2000; 88:1069-1082.
7. Lygeros J, Godbole DN, Sastry SS. A game theoretic approach to hybrid system design. In Lecture Notes in Computer Science, vol. 1066, Alur R, Henzinger T (eds). Springer: Berlin, 1996; 1-12.
8. Branicky MS, Borkar VS, Mitter SK. A unified framework for hybrid control: model and optimal control theory. IEEE Transactions on Automatic Control 1998; 43:31-45.
9. Hespanha J, Morse AS. Switching between stabilizing controllers. Automatica 2004; 38:1905-1917.
10. Xu XP, Antsaklis PJ. Results and perspectives on computational methods for optimal control of switched systems. Lecture Notes in Computer Science 2003; 2623:540-555.
11. Peleties P, DeCarlo R. Asymptotic stability of m-switched systems using Lyapunov-like functions. Proceedings of American Control Conference, Boston, MA, 1991; 1679-1684.
12. Wicks MA, Peleties P, DeCarlo RA. Switched controller synthesis for the quadratic stabilization of a pair of unstable linear systems. European Journal of Control 1998; 4:140-147.
13. Hu B, Xu X, Antsaklis PJ, Michel AN. Robust stabilizing control law for a class of second-order switched systems. Systems and Control Letters 1999; 38:197-207.
14. Christofides PD, El-Farra NH. Control of Nonlinear and Hybrid Process Systems: Designs for Uncertainty, Constraints and Time-Delays. Springer-Verlag: Berlin, Germany, 2005.
15. El-Farra NH, Christofides PD. Coordinating feedback and switching for control of hybrid nonlinear processes. AIChE Journal 2003; 49:2079-2098.
16. Michalska H, Mayne DQ. Robust receding horizon control of constrained nonlinear systems. IEEE Transactions on Automatic Control 1993; 38:1623-1633.
17. Valluri S, Soroush M, Nikravesh M. Shortest-prediction-horizon non-linear model-predictive control. Chemical Engineering Science 1998; 53:273-292.
18. Kazantzis N, Kravaris C. Energy-predictive control: a new synthesis approach for nonlinear process control. Chemical Engineering Science 1999; 54:1697-1709.
19. Kothare SLD, Morari M. Contractive model predictive control for constrained nonlinear systems. IEEE Transactions on Automatic Control 2000; 45:1053-1071.
20. Primbs JA, Nevistic V, Doyle JC. A receding horizon generalization of pointwise min-norm controllers. IEEE Transactions on Automatic Control 2000; 45:898-909.
21. Mayne DQ, Rawlings JB, Rao CV, Scokaert POM. Constrained model predictive control: stability and optimality. Automatica 2000; 36:789-814.
22. Mhaskar P, El-Farra NH, Christofides PD. Stabilization of nonlinear systems with state and control constraints using Lyapunov-based predictive control. Systems and Control Letters 2006; 55:650-659.
23. Mhaskar P. Robust model predictive control design for fault-tolerant control of process systems. Industrial and Engineering Chemistry Research 2006; 45:8565-8574.
24. Mhaskar P, El-Farra NH, Christofides PD. Predictive control of switched nonlinear systems with scheduled mode transitions. IEEE Transactions on Automatic Control 2005; 50:1670-1680.
25. Lin Y, Sontag ED. A universal formula for stabilization with bounded controls. Systems and Control Letters 1991; 16:393-397.
26. El-Farra NH, Christofides PD. Bounded robust control of constrained multivariable nonlinear processes. Chemical Engineering Science 2003; 58:3025-3047.
27. El-Farra NH, Christofides PD. Integrating robustness, optimality, and constraints in control of nonlinear processes. Chemical Engineering Science 2001; 56:1841-1868.
28. Freeman RA, Kokotovic PV. Robust Nonlinear Control Design: State-Space and Lyapunov Techniques. Birkhauser: Boston, MA, 1996.