Premium
Robust H ∞ controller design for continuous‐time piecewise time‐delay systems
Author(s) -
Song Xinmin,
Zhou Shaosheng,
Zhang Huanshui,
Zhao Hongguo
Publication year - 2008
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.60
Subject(s) - control theory (sociology) , piecewise , linearization , mathematics , controller (irrigation) , lyapunov function , linear matrix inequality , mathematical optimization , computer science , control (management) , nonlinear system , mathematical analysis , physics , quantum mechanics , artificial intelligence , agronomy , biology
Abstract This paper investigates the robust H ∞ control problem for continuous‐time piecewise time‐delay systems by using piecewise continuous Lyapunov function. The uncertainties of the systems under consideration are expressed in a linear fractional form. A strict linear matrix inequality approach is developed to obtain delay‐dependent asymptotic stability conditions and H ∞ performance. The H ∞ controller design problem is solved by exploiting the cone complementarity linearization (CCL) method. Finally an example is given to illustrate the application of the proposed approach. Copyright © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society