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Observer-based H ∞  control of discrete Markovian jump delay systems with random packet losses and multiplicative noises

Authors

  • Shiping Wen,

    1. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
    2. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Huazhong University of Science and Technology, Wuhan 430074, China
    3. Texas A & M University, Doha, 5285, Qatar
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  • Zhigang Zeng,

    Corresponding author
    1. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
    2. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Huazhong University of Science and Technology, Wuhan 430074, China
    3. Texas A & M University, Doha, 5285, Qatar
    • Correspondence to: Zhigang Zeng, Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China.

      E-mail: zgzeng527@126.com

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  • Tingwen Huang,

    1. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
    2. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Huazhong University of Science and Technology, Wuhan 430074, China
    3. Texas A & M University, Doha, 5285, Qatar
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  • Gang Bao

    1. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
    2. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Huazhong University of Science and Technology, Wuhan 430074, China
    3. Texas A & M University, Doha, 5285, Qatar
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SUMMARY

This paper investigates the observer-based H ∞  control problem for a class of mixed-delay Markovian jump systems with random communication packet losses and multiplicative noises. The mixed delays comprise both discrete time-varying delays and distributed delays, the random packet losses are described by a Bernoulli distributed white sequence that obeys a conditional probability distribution, and the multiplicative disturbances are in the form of a scalar Gaussian white noise with unit variance. In the presence of mixed delays, random packet losses and multiplicative noises, sufficient conditions for the existence of an observer-based feedback controller are derived such that the closed-loop control system is asymptotically mean-square stable and preserves a guaranteed H ∞  performance. Then, a linear matrix inequality approach for designing such an observer-based H ∞  controller is presented. Finally, a numerical example is provided to illustrate the effectiveness of the developed theoretical results. Copyright © 2012 John Wiley & Sons, Ltd.

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