On invariant polyhedra of continuous-time systems subject to additive disturbances

Automatica

Volumn 32, Issue 5, 1996, Pages 785-789

  Milani, Basílio E A ^a   Dórea, Carlos E T ^b  

^a UNIVERSITY OF CAMPINAS   (Brazil)

^b LAAS CNRS   (France)

Author keywords

Constraints; Continuous time systems; Disturbance variables; Invariance; Linear programming; Regulators

Indexed keywords

ALGEBRA; CONSTRAINT THEORY; CONTROL SYSTEM ANALYSIS; MATHEMATICAL MODELS; SYSTEM STABILITY;

ADDITIVE DISTURBANCES; CONTINUOUS TIME SYSTEMS; DISTURBANCE VARIABLES; INVARIANT POLYHEDRA;

LINEAR CONTROL SYSTEMS;

EID: 0030149342     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/0005-1098(96)00002-7     Document Type: Article

References (12)

1. Bitsoris, G. (1991). Existence of polyhedral positively invariant sets for continuous-time systems. Control -Theory Adv. Technol., 7, 407-427.
2. Blanchini, F. (1990). Feedback control for linear time-invariant systems with state and control bounds in the presence of disturbances. IEEE Trans. Autom. Control, AC-35, 1231-1234.
3. Carvalho, A. N. and B. E. A. Milani (1994). A simple design method for robust linear discrete-time regulators under symmetrical constraints. In Proc. American Control Conf., Baltimore, MD, pp. 778-781.
4. Castelan, E. B. and J. C. Hennet (1992). Eigenstructure assignment for state constrained linear continuous-time systems. Automatica, 28, 605-611.
5. Castelan, E. B. and J. C. Henet (1993). On invariant polyhedra of continuous-time linear systems. IEEE Trans. Autom. Control, AC-38, 1680-1685.
6. Dórea, C. E. T. and B. E. A. Milani (1995). A computational method for optimal L-Q regulation with simultaneous disturbance decoupling. Automatica, 31, 155-160.
7. Fletcher, R. (1981). Practical Methods of Optimization, Vol. 2: Constrained Optimization. Wiley, New York.
8. Linnemann, A. (1987). A condensed form for disturbance decoupling with simultaneous pole placement using state feedback. In Proc. 10th IFAC World Congress, Munich, Vol. 9, pp. 92-97.
9. Porter, B. (1977). Eigenvalue assignment in linear multivariable systems by output feedback. Int. J. Control, 25, 483-490.
10. Schneider, H. and M. Vidyasagar (1970). Cross-positive matrices. SIAM J. Numer. Anal. 7, 508-519.
11. Tarbouriech, S. and C. Burgat (1994). Positively invariant sets for constrained continuous-time systems with cone properties. IEEE Trans. Autom. Control, AC-39, 401-405.
12. Wonham, W. M. (1979). Linear Multivariable Control. A Geometric Approach. Springer-Verlag, New York.