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In this study, the piecewise Lyapunov function based switching fuzzy controller is proposed to get a relaxed criterion for the H∞ control of continuous T-S fuzzy systems. The particle swarm optimization (PSO) algorithm, which is useful for nonlinear optimization problem, is utilized with the LMI tool to get the optimal H∞ performance due to that some conditions of the criterion are bilinear with the...
This paper presents piecewise fuzzy model construction divided by arbitrary affine hyper-planes and controller design based on the so-called piecewise Lyapunov function. In our previous papers, we proposed the switching fuzzy model construction method with arbitrary dividing hyper- planes. However, we assumed that the dividing planes contain the origin, that is, linear hyper-planes in the papers....
This paper presents a descriptor system approach to fuzzy control system designs using fuzzy Lyapunov function. The redundancy of descriptor systems achieves reduction of the number of linear matrix inequality (LMI) conditions that directly relates to computational requirement. To derive more relaxed LMI conditions, we propose new types of fuzzy controller and fuzzy Lyapunov function. A main feature...
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