| Summary: | 碩士 === 國立臺北科技大學 === 電機工程研究所 === 104 === This thesis investigates the guaranteed cost controller design for nonlinear singular uncertain control systems. The delays include input and state delays. The parameter uncertainty is also considered in this work.
Firstly, the nonlinear system is modeled by using the interval type-2 T-S fuzzy theory. The concept of parallel distributed compensation is adopted to design the interval type-2 T-S fuzzy controller. To analyze the stability, this work adopts the Lyapunov stability theory as a tool. While choosing the Lyapunov functional, the delay-dependent characteristic is considered. Moreover, the concept of guaranteed cost control is also adopted to the process of analysis. Then, using the linear matrix inequality technique, the sufficient condition for the stability of singular uncertain control system is obtained. Along with the stability condition, the desired guaranteed cost controller design can be derived.
Finally, examples are simulated and analyzed by using the Matlab LMI toolbox. According to the simulation results, the designed guaranteed cost controller makes the closed-loop system which still has the robust stability and achieve the minimum guaranteed cost requirement.
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