Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2010-12-01

Journal: CIRCUITS SYSTEMS AND SIGNAL PROCESSING

Included Journals: Scopus、EI、SCIE

Volume: 29

Issue: 6

Page Number: 1089-1102

ISSN: 0278-081X

Key Words: Uncertain switched delay systems; Hysteresis switching law; Adaptive control; Robust H(infinity) control; Multiple Lyapunov functions

Abstract: This paper investigates the robust H (a) control problem for a class of uncertain switched delay systems with parameter uncertainties, unknown nonlinear perturbations, and external disturbance. Based on the multiple Lyapunov functions method, a sufficient condition for the solvability of the robust H (a) control problem is derived by employing a hysteresis switching law and variable structure controllers. When the upper bounds of the nonlinear perturbations are unknown, an adaptive variable structure control strategy is developed. The use of the adaptive technique is to adapt the unknown upper bounds of the nonlinear disturbances so that the objective of asymptotic stabilization with an H (a)-norm bound is achieved under the hysteresis switching law. A numerical example illustrates the effectiveness of the proposed design methods.