Robust chaos synchronization based on adaptive fuzzy delayed feedback ${\bf{\mathcal{H}}}_{\bf{\infty}}$ control |
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Authors: | CHOON KI AHN |
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Institution: | 1.Faculty of the Department of Automotive Engineering,Seoul National University of Science & Technology,Seoul,Korea |
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Abstract: | In this paper, we propose a new adaptive H¥\mathcal H_\infty synchronization strategy, called an adaptive fuzzy delayed feedback H¥\mathcal H_\infty synchronization (AFDFHS) strategy, for chaotic systems with uncertain parameters and external disturbances. Based on Lyapunov–Krasovskii
theory, Takagi–Sugeno (T–S) fuzzy model and adaptive delayed feedback H¥\mathcal H_\infty control scheme, the AFDFHS controller is presented such that the synchronization error system is asymptotically stable with
a guaranteed H¥\mathcal{H}_{\infty } performance. It is shown that the design of the AFDFHS controller with adaptive law can be achieved by solving a linear matrix
inequality (LMI), which can be easily facilitated by using some standard numerical packages. An illustrative example is given
to demonstrate the effectiveness of the proposed AFDFHS approach. |
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Keywords: | |
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