A Study on T-S Fuzzy Bilinear Systems and Control
| Autor: | Shun-Hung Tsai, 蔡舜宏 |
|---|---|
| Rok vydání: | 2007 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 96 This dissertation explores the modeling approach, controller design, and the stability analysis for fuzzy bilinear systems (FBSs) and discrete fuzzy bilinear systems (DFBSs). By examination of the modeling problem, this dissertation describes how to transform a nonlinear system with disturbances into a bilinear one with disturbances via the concept of optimization and Taylor expansion, and then adopts Takagi-Sugeno (T-S) fuzzy modeling technique to construct FBSs and DFBSs with disturbances. The main advantage of the proposed modeling approach is that T-S fuzzy model is especially suitable for a nonaffine nonlinear system and the nonlinear system with a bilinear term. For controller design problem, robust fuzzy controllers are proposed to globally stabilize uncertain FBSs and DFBSs with disturbances via the concept of parallel distributed compensation (PDC). For stability analysis, based on the Lyapunov functional approach and Schur complement, all stability conditions have been derived to guarantee the stability of the overall fuzzy control system via linear matrix inequality (LMI). Furthermore, based on the time-delay phenomenon of the control system, time-delay FBSs with an additive disturbance input and time-delay FBSs with parametric uncertainties are also examined in this dissertation. Finally, some examples and the Van de Vusse model are utilized to demonstrate the validity and feasibility of the proposed control schemes. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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