| Summary: | 博士 === 國立中央大學 === 電機工程研究所 === 89 === In this dissertation, several novel stability analysis techniques and systematic design procedures for the T-S model-based fuzzy control are proposed. After introducing the main problem and some essential properties of the T-S fuzzy system, the dissertation first propose a new approach to tackle the existing common P problem in T-S fuzzy model-based control system via some robustness criteria. The main merit of the approach is to overcome the difficulty of searching for a positive definite common P such that the global stability of the fuzzy system holds. For generalize applications, some useful properties can also be utilized to relax and enhance those stability criteria. Moreover, the conventional LQ approach is adopted to involve the design of T-S model-based fuzzy control system. Accordingly, the T-S fuzzy control system is possessed of properties having infinite gain margin and 60-degree phase margin. The stability of the T-S fuzzy system can also be guaranteed by the robustness of LQ controllers.
Moreover, this dissertation also investigates an alternative stabilization for T-S fuzzy control system. Based on the T-S model in phase-variable canonical form, one can design the T-S fuzzy control system to fulfill different specification in different operating region. In the meantime, the existing common P problem in the T-S fuzzy system may just satisfy partial number of Lyapunov equations but not all Lyapunov equations. Hence, the stability of the T-S fuzzy control system can be guaranteed much easier.
Furthermore, the fuzzy logic control design strategy is applied to the complex fuzzy large-scale systems. After choosing some operating point, the fuzzy large-scale systems is first decomposed by the T-S fuzzy model. Accordingly, some sufficient conditions are constructed for ensuring the stability of the global fuzzy system. The demanding for an exact model in traditional control strategy is then resolved.
Several illustrative examples and simulations are used to demonstrate that the proposed approaches are effective and workable. Besides, the designing procedure for the T-S fuzzy system is systematic and simplified.
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