Robust H State-Feedback Control Design for Nonlinear Time-Varying Delay Systems Based on An LMI Approach

Wudhichai Assawinchaichote

doi:10.37936/ecti-eec.200862.171775

Authors

Wudhichai Assawinchaichote Department of Electronic and Telecommnunication Engineering, King Mongkut's University of Technology Thonburi

DOI:

https://doi.org/10.37936/ecti-eec.200862.171775

Keywords:

H control,, Time-varying delay, Fuzzy systems, Linear Matrix Inequality (LMI)

Abstract

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.

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