Robust H∞ Fuzzy Control of Chaotic Systems: Using Dither as Auxiliary
| Autor: | Yun-ting Wu, 吳芸庭 |
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| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 97 This paper presents an effective approach for controlling chaos. First, a neural-network (NN) model is employed to approximate the chaotic system. Then, a linear differential inclusion (LDI) state-space representation is established for the dynamics of the NN model. Based on the LDI state-space representation, a stability criterion derived in terms of Lyapunov’s direct method is proposed to guarantee that the trajectories of the chaotic system under fuzzy control can be steered into a periodic orbit. Subsequently, the stability condition of this criterion is reformulated into a linear matrix inequality (LMI). According to the LMI, a fuzzy controller is then synthesized to tame the chaotic system and the control performance is achieved at the same time. If the fuzzy controller cannot suppress the chaos, a high frequency signal, commonly called dither, is simultaneously injected to eliminate the chaotic motion. If the frequency of dither is high enough, the trajectory described by the dithered chaotic system and that of its corresponding mathematical model — the relaxed system can be made as close as desired. This phenomenon enables us to get a rigorous prediction of the dithered chaotic system’s behavior by obtaining that of the relaxed system. Finally, a numerical example of the Chua’s oscillator circuit with simulations is given to illustrate the concepts discussed throughout this paper. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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