OPTIMAL STATE-FEEDBACK CONTROL OF TIME-VARYING TS-FUZZY-MODEL-BASED SYSTEMS BY USING AN INTEGRATIVE COMPUTATIONAL APPROACH
蔡進聰, Wen‐Hsien Ho, Jsung-Ta Tsai, Tengzi Liu, Jen-Hsiang Chou · 2007
This paper considers the quadratic-finite-horizon-optimal control problem of time-varying nonlinear dynamic systems, where the time-varying nonlinear dynamic systems can be represented by the time-varying Takagi-Sugeno (TS) fuzzy-model-based dynamic systems. An integrative method, which complementarily fuses the Legendre series approach (LSA) and the hybrid Taguchi-genetic algorithm (HTGA), is presented in this paper to design the quadratic optimal time-varying-state-feedback (TVSF) controllers for the finite-horizon optimal control problems of the time-varying TS-fuzzy-model-based control systems. A design example of the quadratic optimal TVSF controller for the pendulum system with the vibration in the vertical direction on the pivot point is given to demonstrate the applicability of the proposed integrative approach.