Non-fragile control of fuzzy affine dynamic systems via piecewise Lyapunov functions  

作　　者：Shasha FU Jianbin QIU Wenqiang JI 

机构地区：[1]Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China

出　　处：《Frontiers of Computer Science》2017年第6期937-947,共11页中国计算机科学前沿（英文版）

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.

关 键 词：fuzzy affine systems NON-FRAGILE robust outputfeedback control 

分 类 号：TP0[自动化与计算机技术]