| Summary: | 碩士 === 國立成功大學 === 電機工程學系碩博士班 === 90 === In this thesis, three issues are studied.
( i ) A digital redesign method is proposed for synchronizing chaotic systems. Based on the Lyapunov stability theory, a single-state variable feedback controller is derived in continuous-time domain. In discrete-time control, an effective digital redesign technique is proposed to achieve the state synchronization of two identical chaotic systems. ( ii ) An improved stability analysis for a nonlinear hybrid system is presented. The proposed stability criterion shows that if the system possesses a manifold of exponentially stable constant operating points (equilibria) corresponding to constant values of the input signal, then the input signal yields a trajectory that remains close to exponentially stable state. By using the optimal linearization method, it yields exact local linear models at operating states of interest and optimal local linear models in the neighborhood of operating states of interest. ( iii ) By using the sub-optimal digital redesign method, the nonlinear hybrid system with input time delay will be effective to control. Besides, the sub-optimal digital redesign technique uses the genetic algorithm for parameter tuning in optimization. Finally, numerical simulations demonstrate the efficacy via the proposed design methodologies in this thesis.
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