Title :
Parameterization of all suboptimal controllers in H∞ sampled-data control problem
Author :
Ghulchak, Andrey M.
Author_Institution :
Dept. of Math. & Mech., St. Petersburg State Univ., Russia
Abstract :
In this paper the solution to generalized H∞ sampled-data control problem with sign-indefinite cost function for linear periodic systems is proposed. Using state space approach and following the main ideas of Doyle et al. (1989) the necessary and sufficient condition in terms of the existence of stabilizing periodic solutions of DARE is obtained, with the set of all suboptimal controllers parameterized
Keywords :
H∞ control; control system analysis; periodic control; sampled data systems; stability criteria; state-space methods; suboptimal control; DARE; H∞ sampled-data control problem; linear periodic systems; necessary and sufficient condition; sign-indefinite cost function; stabilizing periodic solutions; state space approach; suboptimal controller parameterization; Differential equations; Gold; Lagrangian functions; Linear systems; Polynomials; Riccati equations; Sampling methods; Stability; Symmetric matrices;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.574350
