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Robust and Nonfragile Kalman-Type Filter Design for Parameter-Uncertain Time-Delay Systems: PLMI Approach

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  • Seung Hyeop Yang
  • Hong Bae Park

Abstract

This paper describes the synthesis of a robust and nonfragile Kalman-type filter design for a class of time-delay systems with polytopic uncertainties, filter-gain variations, and disturbances. We present the sufficient condition for filter existence and the method for designing a robust nonfragile filter by using LMIs (Linear Matrix Inequalities) technique. Because the obtained sufficient condition can be represented as PLMIs (Parameterized Linear Matrix Inequalities), which can generate infinite LMIs, we use a relaxation technique to find finite solutions for a robust nonfragile filter. We show that the proposed filter can minimize estimation error in terms of parameter uncertainties, filter-fragility, and disturbances.

Suggested Citation

  • Seung Hyeop Yang & Hong Bae Park, 2013. "Robust and Nonfragile Kalman-Type Filter Design for Parameter-Uncertain Time-Delay Systems: PLMI Approach," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-8, November.
    • Handle: RePEc:hin:jnlmpe:975968
    DOI: 10.1155/2013/975968
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