Title :
Robust stabilization of a class of singularly perturbed discrete bilinear systems
Author :
Chiou, Juing-Shian ; Kung, Fan-Chu ; Li, Tzuu-Hseng S.
Author_Institution :
Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan
fDate :
6/1/2000 12:00:00 AM
Abstract :
This paper presents two kinds of robust controllers for stabilizing singularly perturbed discrete bilinear systems. The first one is an ε-dependent controller that stabilizes the closed-loop system for all ε∈(0, ε0*), where ε0 * is the prespecified upper bound of the singular perturbation parameter. The second one is an ε-independent controller, which is able to stabilize the system in the entire state space for all ε∈(0, ε*), where ε* is the exact upper ε-bound. The ε* can be calculated by the critical stability criterion once the robust controller is determined. An example is presented to illustrate the proposed schemes
Keywords :
bilinear systems; closed loop systems; discrete systems; robust control; singularly perturbed systems; stability criteria; state-space methods; ε-dependent controller; closed-loop system; critical stability criterion; robust stabilization; singularly perturbed discrete bilinear systems; upper bound; Control systems; Equations; Nonlinear systems; Robust control; Robust stability; Robustness; Stability criteria; State-space methods; Symmetric matrices; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on