Open Access<i>H</i><sub>∞</sub> Finite-Time Control for Switched Linear Systems with Time-Varying Delay
Author(s) -
Hao Liu,
Yi Shen
Publication year - 2011
Publication title -
intelligent control and automation
Language(s) - English
Resource type - Journals
eISSN - 2153-0661
pISSN - 2153-0653
DOI - 10.4236/ica.2011.23025
Subject(s) - dwell time , control theory (sociology) , mathematics , control (management) , computer science , medicine , clinical psychology , artificial intelligence
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