Design of Robust-Optimal Static Output Feedback Controllers with Low Trajectory Sensitivity for Uncertain TS Fuzzy Systems Using Improved Differential Evolution Algorithm

• Main Authors: LIU,CHAN-CHUAN, 劉展銓
• Other Authors: CHEN, SHINN-HORNG
• Format: Others
• Language: zh-TW
• Published: 2017
• Online Access: http://ndltd.ncl.edu.tw/handle/kggvwm

碩士 === 國立高雄應用科技大學 === 機械工程系 === 105 === In this paper, an integrative method, which combines the robust stabilizability condition, the orthogonal-functions approach (OFA), and the Taguchi-sliding-based differential evolution algorithm (TSBDEA), is presented to design the robust-stable and quadratic-finite-horizon-optimal static output feedback parallel-distributed- compensation (PDC) controller with low trajectory sensitivity such that (i) the Takagi-Sugeno (TS) fuzzy control system with elemental parametric uncertainties can be robustly stabilized, and (ii) a quadratic finite-time integral performance index including a quadratic sensitivity term for nominal TS fuzzy control system can be minimized. The robust stabilizability condition is proposed in terms of linear matrix inequalities (LMIs). By using the OFA and the robust stabilizability condition, the robust-stable and quadratic-finite-horizon-optimal static output feedback PDC control problem for the TS fuzzy dynamic systems is transformed into a static constrained-optimization problem represented by the algebraic equations with constraint of LMI-based robust stabilizability condition; thus greatly simplifying the optimal static output feedback PDC controller design problem. Then, for the static constrained-optimization problem, the TSBDEA is applied to find the robust-stable and quadratic-finite-horizon-optimal static output feedback PDC controllers with low trajectory sensitivity of the TS fuzzy control systems with elemental parametric uncertainties. A design example of robust-stable and quadratic-finite-horizon-optimal static output feedback PDC controllers with low trajectory sensitivity for uncertain nonlinear Chua circuit is given to demonstrate the applicability of the proposed integrative approach.