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Non-fragile control of fuzzy affine dynamic systems via piecewise Lyapunov functions |
Shasha FU, Jianbin QIU( ), Wenqiang JI |
| Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, 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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| Keywords
fuzzy affine systems
non-fragile
robust output feedback control
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Corresponding Author(s):
Jianbin QIU
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Just Accepted Date: 21 July 2016
Online First Date: 31 October 2016
Issue Date: 07 December 2017
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