Suboptimal control of constrained nonlinear systems via receding horizon constrained control Lyapunov functions

International Journal of Robust and Nonlinear Control

Volumn 13, Issue 3-4, 2003, Pages 247-259

  Sznaier, Mario ^a   Suárez, Rodolfo ^b   Cloutier, James ^c  

^a The Pennsylvania State University   (United States)

^b DEPARTAMENTO DE QUÍMICA   (Mexico)

^c AIR FORCE RESEARCH LABORATORY   (United States)

Author keywords

Constrained control; Control Lyapunov function; Receding horizon

Indexed keywords

CONSTRAINT THEORY; CONTROL EQUIPMENT; FEEDBACK; LYAPUNOV METHODS; OPTIMIZATION;

RECEDING HORIZON;

NONLINEAR SYSTEMS;

EID: 0037349340     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/rnc.816     Document Type: Article

References (27)

1. Tarbouriech S, Garcia G (eds). Control of Uncertain Systems with Bounded Input. Springer-Verlag (LNCIS): London, 1997.
2. Stoorvogel A, Saberi A (eds). Special issue on control of systems with bounded control. International Journal of Robust and Nonlinear Control 1999; 9.
3. p-stabilization and internal stabilization of linear systems subject to input saturation state feedback case. Systems and Control Letters 1995; 25:219-226.
4. Chitour Y, Liu W, Sontag E. On the continuity and incremental-gain properties of certain saturated linear feedback loops. International Journal of Robust and Nonlinear Control 1995; 5:413-440.
5. 2-Disturbance attenuation for linear systems with bounded controls: an ARE-based approach. In Control of Uncertain Systems with Bounded Inputs, Tarbouriech S, Garcia G (eds)., Springer-Verlag (LNCIS): London, 1997.
6. ∞ disturbance attenuation and global stabilization of linear systems with bounded control. International Journal of Robust and Nonlinear Control 1999; 9:659-675.
7. Krstic M, Kanellakopoulos I, Kokotovic P. Nonlinear and Adaptive Control Design. Wiley: New York, 1995.
8. Artstein Z. Stabilization with relaxed control. Nonlinear Analysis 1983; 7(11): 1163-1173.
9. Sontag ED. A 'universal' construction of Artstein's theorem on nonlinear stabilization. Systems and Control Letters 1989; 13(2):117-123.
10. Sznaier M, Damborg M. Heuristically enhanced feedback control of constrained discrete time linear systems. Automatica 1990; 26(3):521-532.
11. Rossiter JA, Kouvaritakis B. Constrained generalized predictive control. Proceedings of IEE Pt. D., vol. 140, 1993; 233-254.
12. Mayne DQ, Rawlings JB, Rao CV, Scokaert POM. Constrained model predictive control: stability and optimality. Automatica 2000; 36(6):789-814.
13. Mayne DQ, Michalska H. Receding horizon control of nonlinear systems. IEEE Transactions on Automatic Control 1990; 35(7):814-824.
14. Primbs JA, Nevistic V, Doyle JC. On receding horizon extensions and control Lyapunov functions. Proceedings of the 1998 American Control Conference, 1998; 3276-3280.
15. Chen H, Allgower F. A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability. Automatica 1998; 34(10):1205-1217.
16. Sznaier M, Damborg MJ. Suboptimal control of linear systems with state and control inequality constrains. Proceedings of the 26th IEEE CDC, Los Angeles, CA, Dec. 1987; 761-762.
17. Magni L, Sepulchre R. Stability margins for nonlinear receding horizon control via inverse optimality. Systems and Control Letters 1997; 32:241-245.
18. Sznaier M, Cloutier J, Hull R, Jacques D, Mracek C. A receding horizon state dependent Riccati equation approach to suboptimal regulation of nonlinear systems. Proceedings of the 1998 IEEE CDC, 1998; 1792-1797. See also, A receding horizon control Lyapunov function approach to suboptimal regulation of nonlinear systems. AIAA Journal of Guidance and Control 2000; 23(3):399-405.
19. Sznaier M, Cloutier J, Hull R, Jacques D, Mracek C. A receding horizon state dependent Riccati equation approach to suboptimal regulation of nonlinear systems. Proceedings of the 1998 IEEE CDC, 1998; 1792-1797. See also, A receding horizon control Lyapunov function approach to suboptimal regulation of nonlinear systems. AIAA Journal of Guidance and Control 2000; 23(3):399-405.
20. Jadbabaie A, Yu J, Hauser J. Stabilizing receding horizon control of nonlinear systems: a control Lyapunov function approach. Proceedings of the 1999 ACC, 1999; 1535-1539.
21. Seron MM, De Dona JA, Goodwin GC. Global analytical model predictive control with input constraints. Proceedings of the 39th IEEE CDC, Dec 2000; 154-159.
22. Bemporad A, Morari M, Dua V, Pistikopoulos N. The explicit solution of model predictive control via multiparametric quadratic programming. Proceedings of the 2000 American Control Conference, June 2000; 872-876.
23. Kouvaritakis B, Rossiter JA, Schuurmans J. Efficient robust predictive control. Proceedings of the 1999 American Control Conference, 1999; 4283-4287.
24. Khalil HK. Nonlinear Systems (second edn). Prentice-Hall: Englewood Cliffs, NJ, 1996.
25. Freeman RA, Kokotovic PV. Robust Nonlinear Control Design: State Space and Lyapunov Techniques. Birkhauser: Boston, 1996.
26. Mracek CP, Cloutier JR. Control design for the nonlinear benchmark problem via the state-dependent Riccati equation method. International Journal of Robust and Nonlinear Control 1998; 8:401-433.
27. Clarke FH, Ledyaev YS, Stern RJ, Wolenski PR. Nonsmooth Analysis and Control Theory. Springer: New York, 1997.