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Static-Output-Feedback {maths\cr H}_{bm \infty } Control of Continuous-Time T - S Fuzzy Affine Systems Via Piecewise Lyapunov Functions

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3 Author(s)
Jianbin Qiu ; Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, China ; Gang Feng ; Huijun Gao

This paper investigates the problem of robust H output feedback control for a class of continuous-time Takagi-Sugeno (T-S) fuzzy affine dynamic systems with parametric uncertainties and input constraints. The objective is to design a suitable constrained piecewise affine static output feedback controller, guaranteeing the asymptotic stability of the resulting closed-loop fuzzy control system with a prescribed H disturbance attenuation level. Based on a smooth piecewise quadratic Lyapunov function combined with S-procedure and some matrix inequality convexification techniques, some new results are developed for static output feedback controller synthesis of the underlying continuous-time T-S fuzzy affine systems. It is shown that the controller gains can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, three examples are provided to illustrate the effectiveness of the proposed methods.

Published in:

IEEE Transactions on Fuzzy Systems  (Volume:21 ,  Issue: 2 )