摘要
This paper addresses the robust static out- put feedback （SOF） controller design problem for a class of uncertain fuzzy affine systems that are robust against both the plant parameter perturbations and controller gain variations. More specifically, the purpose is to synthesize a non-fragile piecewise affine SOF controller guaranteeing the stability of the resulting closed-loop fuzzy affine dynamic system with certain performance index. Based on piecewise quadratic Lyapunov functions and applying some convexification pro- cedures, two different approaches are proposed to solve the robust and non-fragile piecewise affine SOF controller syn- thesis problem. It is shown that the piecewise affine controller gains can be obtained by solving a set of linear matrix in- equalities （LMIs）. Finally, simulation examples are given to illustrate the effectiveness of the proposed methods.
This paper addresses the robust static out- put feedback （SOF） controller design problem for a class of uncertain fuzzy affine systems that are robust against both the plant parameter perturbations and controller gain variations. More specifically, the purpose is to synthesize a non-fragile piecewise affine SOF controller guaranteeing the stability of the resulting closed-loop fuzzy affine dynamic system with certain performance index. Based on piecewise quadratic Lyapunov functions and applying some convexification pro- cedures, two different approaches are proposed to solve the robust and non-fragile piecewise affine SOF controller syn- thesis problem. It is shown that the piecewise affine controller gains can be obtained by solving a set of linear matrix in- equalities （LMIs）. Finally, simulation examples are given to illustrate the effectiveness of the proposed methods.
