Control of continuous-time T-S fuzzy affine dynamic systems via piecewise Lyapunov functions

This paper studies 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. 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 H
_∞
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. Finally, a simulation example is provided to illustrate the application of the proposed methods.