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This paper provides systematic design procedures for output regulation of Takagi-Sugeno fuzzy systems using an integral fuzzy controller. Instead of a conventional PDC controller, the integral fuzzy controller is adopted to minimize the steady-state error on the output of the given system. Sufficient conditions for the output regulation problem are derived in the sense of Lyapunov, and these are formulated...
This paper concerns a new stability condition for polynomial fuzzy system by introducing polynomial fuzzy Lyapunov function and slack matrix. Stability condition for polynomial fuzzy system is usually derived by common quadratic polynomial Lyapunov function. However this method results the conservative problem. To relax the conservative result, various relaxing methods which are introduced in T-S...
This paper concerns with the robust stabilization condition for the polynomial fuzzy system with parametric uncertainties. In the existing methods, nonlinear system with parametric uncertainties was modeled to the T-S fuzzy system. However, these methods has problem such as large number of the fuzzy rule. Therefore, this paper uses the polynomial fuzzy modeling method to manipulate the robust stabilization...
This paper presents a polynomial fuzzy method approach to stabilize the nonlinear large-scale system. Unlike conventional T-S fuzzy system, polynomial fuzzy system contains polynomial matrix. Since polynomial fuzzy system has polynomial matrix, this system has less IF-THEN rules than T-S fuzzy system. Based on the proposed method, stabilization condtiion is derived in the form of polynomial and solved...
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