Fixed-order output feedback controller design for discrete-time T-S fuzzy affine systems using quantized measurements

Abstract

This paper addresses the problem of robust fixed-order dynamic output feedback (DOF) control for a class of Takagi-Sugeno (T-S) fuzzy affine systems via utilizing quantized measurements. Through a state-input augmentation method and piecewise quadratic Lyapunov functions, some sufficient conditions for fixed-order piecewise affine DOF controller synthesis are developed. It is noted that by some convexification techniques and S-procedure, sufficient conditions for the DOF controller synthesis are obtained in terms of a set of linear matrix inequalities (LMIs). One illustrative simulation example is shown to verify the effectiveness of the proposed controller design approach.