Piecewise linear constrained control for linear discrete-time systems

ECC 1997 - European Control Conference

Volumn , Issue , 1997, Pages 37-41

  Benzaouia, A ^a   Baddou, A ^a  

^a FACULTÉ DES SCIENCES SEMLALIA   (Morocco)

Author keywords

Constrained control; Lyapunov functions; Piecewise linear control; Positive invariance

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; DIGITAL CONTROL SYSTEMS; LINEAR CONTROL SYSTEMS; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; PIECEWISE LINEAR TECHNIQUES;

CLOSED LOOPS; CONSTRAINED CONTROLS; INPUT CONSTRAINTS; LINEAR DISCRETE-TIME SYSTEMS; PIECEWISE LINEAR; PIECEWISE-LINEAR CONTROLS; POLYHEDRAL SET; POSITIVE INVARIANCE;

DISCRETE TIME CONTROL SYSTEMS;

EID: 84949086036     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (9)

1. Benzaouia A. and A. Hmamed, (a) "Regulator problem for linear continuous time systems with nonsymmetrical constrained control using nonsymmetrical Lyapunov function", In Proc. 31th CDC IEEE - Arizona, 1992;
2. (b) "Regulator problem for continuous tune systems with nonsymmetrical constrained control." IEEE Trans. Aut. Control, vol. 38. No 10, pp 1556-1560. October 1993.
3. Benzaouia A. and C. Burgat, (a) "Regulator problem for linear discrete-time systems with non-symmetrical constrained control." Int. J. Contr., vol. 48. no. 6, pp. 2441-2451. 1988
4. (b) "Existence of nonsymmetrical Lyapunov functions for systems." Int. J. Syst. Sci., vol. 20, No 4, pp. 597-607, 1989;
5. (c) "Existence of nonsymmetrical stability domains for linear systems", Linear Algebra App., vol. 212, pp. 217-231, 1989.
6. Benzaouia A., "The resolution of equation XA + XBX = HX and the pole assignment problem", IEEE Trans. Aut. Control, vol. 39, No 10, October 1994.
7. Benzaouia A., "Application du concept d'invariance positive à Petude des problèmes de commande des systèmes dynamiques discrets avec contraintes sur la commande"'. Thesis of Cadi Ayyad University. Marrakech, 1988.
8. Bitsoris G., "Existence of positively invariant polyhedral sets for continuous time linear systems" control theory and advanced technology. Vol. 7, No 3. pp. 407-427. September 1991.
9. Wredenhagen G. F. and P. R. Bélanger, "Piecewise linear LQ control for systems with input constraints", Automatica, vol. 30, No 3, pp. 403-416, 1994.