Title :
Robust H∞ control problem for nonstandard singularly perturbed systems and application
Author :
Mukaidani, Hiroaki ; Xu, Hua
Author_Institution :
Fac. of Inf. Sci., Hiroshima City Univ., Japan
Abstract :
Considers the robust H∞ control problem for nonstandard singularly perturbed uncertain systems under imperfect state measurements. We propose an algorithm which is based on the Kleinman (1968) algorithm with specific initial conditions. Furthermore, we also present an algorithm for solving the generalized Lyapunov equation on the basis of the generalized Schur method. Finally, in order to show the effectiveness of the proposed algorithms, a practical example is included
Keywords :
H∞ control; Lyapunov methods; Riccati equations; asymptotic stability; closed loop systems; matrix algebra; robust control; singularly perturbed systems; uncertain systems; Kleinman algorithm; generalized Lyapunov equation; generalized Schur method; imperfect state measurements; nonstandard singularly perturbed systems; robust H∞ control problem; uncertain systems; Control systems; Convergence; Manufacturing processes; Measurement uncertainty; Perturbation methods; Pulp manufacturing; Riccati equations; Robust control; Time varying systems; Uncertain systems;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.946265
