Study and Stability Analysis on PDC Fuzzy Control System Based on Predictive Controller of T-S Model´s Subsystems

A new PDC (parallel distributed compensation) fuzzy control strategy is proposed. This PDC fuzzy control strategy is achieved by applying the state feedback predictive control to each T-S model´s subsystem. The stability of the closed loop system is analyzed and two sufficient conditions for global asymptotic stability are given. State feedback model predictive controllers are first developed for the T-S fuzzy model´s subsystems. Then in terms of PDC fuzzy control theory, the whole control system´s fuzzy control movement can be calculated by each subsystem´s control movement and membership function. Finally the fuzzy control movement is used to control the whole system. The inverted pendulum system is also simulated with various initial states. The simulation result shows the effectiveness and feasibility of the proposed method