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Robust control of delay-dependent T-S fuzzy system based on method of descriptor model transformation

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Abstract

H∞ robust control and stability are addressed for a class of uncertain fuzzy systems with time-delays in both states and control inputs. Using a Lyapunov—Krasovskii functional in descriptor model transformation, we have presented the delay—dependent sufficient conditions of stability to ensure asymptotic stability of the system. To be less conservative in results, we employ an algorithm involving convex optimization in designing the state—feedback controller. The example shows the validity of our results.

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Authors and Affiliations

  1. College of Mechanical and Electrical Engineering, North University of China, 030051, Taiyuan, China

    Huang Ji, Bo Yucheng & Wang Huiyuan

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  1. Huang Ji
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  2. Bo Yucheng
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  3. Wang Huiyuan
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Correspondence to Huang Ji.

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Ji, H., Yucheng, B. & Huiyuan, W. Robust control of delay-dependent T-S fuzzy system based on method of descriptor model transformation. Artif Intell Rev 34, 205–220 (2010). https://doi.org/10.1007/s10462-010-9170-1

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  • DOI: https://doi.org/10.1007/s10462-010-9170-1

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