Open AccessRobust H State-Feedback Control Design for Nonlinear Time-Varying Delay Systems Based on An LMI Approach
Author(s) -
Wudhichai Assawinchaichote
Publication year - 2008
Publication title -
ecti transactions on electrical eng. / electronics and communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.148
H-Index - 7
ISSN - 1685-9545
DOI - 10.37936/ecti-eec.200862.171775
Subject(s) - control theory (sociology) , linear matrix inequality , nonlinear system , controller (irrigation) , robust control , state (computer science) , class (philosophy) , full state feedback , computer science , fuzzy logic , noise (video) , fuzzy control system , control (management) , mathematics , mathematical optimization , algorithm , artificial intelligence , physics , quantum mechanics , agronomy , image (mathematics) , biology
This paper examines the problem of designing a robust H state-feedback controller for a class of nonlinear systems with time-varying delay described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, we develop a robust H state-feedback controller which guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value for this class of nonlinear systems. A numerical example is provided to illustrate the design developed in this paper.