A Non-Fragile H∞ Output Feedback Controller for Uncertain Fuzzy Dynamical Systems with Multiple Time-Scales


  • Wudhichai Assawinchaichote Department of Electronic and Telecommnunication Engineering King Mongkut’s University of Technology Thonburi 126 Prachautits Rd., Bangkok 10140, Thailand


Fuzzy Control, Linear Matrix Inequality (LMI), Non-fragile H∞ Output Feedback Control, Multiple Time-Scale Systems


This paper determines the designing of a non-fragile H∞ output feedback controller for a class of nonlinear uncertain dynamical systems with multiple timescales described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, we develop a non-fragile H∞ output 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 uncertain fuzzy dynamical systems with multiple time-scales. A numerical example is provided to illustrate the design developed in this paper.


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