Non-fragile control of fuzzy affine dynamic systems via piecewise Lyapunov functions |
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Authors: | Shasha Fu Jianbin Qiu Wenqiang Ji |
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Affiliation: | 1.Research Institute of Intelligent Control and Systems,Harbin Institute of Technology,Harbin,China |
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Abstract: | This paper addresses the robust H∞ static output 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 certainH∞ performance index. Based on piecewise quadratic Lyapunov functions and applying some convexification procedures, two different approaches are proposed to solve the robust and non-fragile piecewise affine SOF controller synthesis problem. It is shown that the piecewise affine controller gains can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, simulation examples are given to illustrate the effectiveness of the proposed methods. |
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