Artículos de revistas
Robust Linear Regulator Design For Discrete-time Systems Under Polyhedral Constraints
Registro en:
Automatica. , v. 31, n. 10, p. 1489 - 1493, 1995.
51098
10.1016/0005-1098(95)00056-3
2-s2.0-0029394513
Autor
Milani B.E.A.
Carvalho A.N.
Institución
Resumen
The robust linear constrained regulation problem for uncertain linear discrete-time systems (A, B) is investigated using the theory of positively invariant polyhedral sets. Closed and bounded polyhedral uncertain domains are considered, involving parameters of both A and B-matrices and polyhedral constraints on both state and control vectors. New sufficient conditions for the solvability of the regulation problem are presented. For computational solution of the regulation problem, a linear programming approach is proposed where the constraints are given by the solvability conditions and the performance index represents a guaranteed trade-off between the closed-loop stability margin and the level of control effort. © 1995. 31 10 1489 1493 Bazaraa, Shetty, (1979) Nonlinear Programming: Theory and Algorithms, , Wiley, New York Benzaouia, Burgat, Regulator problem for linear discrete-time systems with non-symmetrical constrained control (1988) Int. J. Control, 48, pp. 2441-2451 Bitsoris, On the positive invariance of polyhedral sets for discrete-time systems (1988) Syst. Control Lett., 11, pp. 243-248 Bitsoris, On the linear decentralized constrained regulation problem of discrete-time dynamical systems (1988) Inf. Decision Technol., 14, pp. 229-239 Bitsoris, Gravalou, Robust linear controller under state and control constraints (1992) Proc. 31st IEEE Conf., on Decision and Control, pp. 1744-1747. , Tucson, AZ Blanchini, Feedback control for linear time-invariant systems with state and control bounds in the presence of disturbances (1990) IEEE Trans. Autom. Control, 35 AC, pp. 1231-1234 Castelan, Hennet, Eigenstructure assignment for state constrained linear continuous time systems (1992) Automatica, 28, pp. 605-611 Davison, (1990) Benchmark problems for control system design. Report of the IFAC Theory Comittee Fletcher, Practical Methods of Optimization (1981) Constrained Optimization, 2. , Wiley, New York Hennet, Une extension du Lemme de Farkas et son application au Problème de regulation linéaire sous contraintes (1989) C.R. Acad. Sci. Pairs, Sér. I, 308, pp. 415-419 Å iljak, Parameter space methods for robust control design a guided tour (1989) IEEE Transactions on Automatic Control, 34 AC, pp. 674-688 Sznaier, A set induced norm approach to the robust control of constrained systems (1993) SIAM J. Control Optim., 31, pp. 733-746 Sznaier, Sideris, Suboptimal norm based robust control of constrained systems with an H∞ cost (1991) Proc. 30th IEEE Conf. on Decision and Control, pp. 2280-2286. , Brighton, U.K Vassilaki, Hennet, Bitsoris, Feedback control of linear discrete-time system under state and control constraints (1988) Int. J., Control, 47, pp. 1727-1735