Optimal Design of PDC Controllers for Time-Varying TS-Fuzzy-Model-Based Time-Delay Systems

By complementarity fusing the orthogonal-functions approach (OFA) and the hybrid Taguchi-genetic algorithm (HTGA), an integrative method is presented to design the quadratic-finite-horizon-optimal fuzzy parallel-distributed-compensation (PDC) controllers of a class of time-varying Takagi-Sugeno (TS) fuzzy-model-based time-delay control systems. The proposed integrative method fusing the OFA and the HTGA can be viewed as one of the hard-computing-assisted soft-computing category, where the OFA belongs to the hard computing constituents and the HTGA is one of the soft computing constituents. A design example of the quadratic-optimal PDC controllers for the pendulum time-delay system with the vibration in the vertical direction on the pivot point is given to demonstrate the applicability of the proposed new integrative approach.