TITLE:
H∞ Finite-Time Control for Switched Linear Systems with Time-Varying Delay
AUTHORS:
Hao Liu, Yi Shen
KEYWORDS:
Switched System, Time-Delay, H∞ Finite-Time Boundedness, ADT
JOURNAL NAME:
Intelligent Control and Automation,
Vol.2 No.3,
August
8,
2011
ABSTRACT: Finite-time boundedness and H∞ finite-time boundedness of switched linear systems with time-varying delay and exogenous disturbances are addressed. Based on average dwell time (ADT) and free-weight matrix technologies, sufficient conditions which can ensure finite-time boundedness and H∞ finite-time boundedness are given. And then in virtue of the results on finite-time boundedness, the state memory feedback controller is designed to H∞ finite-time stabilize a time-delay switched system. These conditions are given in terms of LMIs and are delay-dependent. An example is given to illustrate the efficiency of the proposed method.