Robust H ∞ Filtering for Uncertain Time-Delay Systems: Matrix Inequality Approach |
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Authors: | O. M. Kwon J. H. Park |
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Affiliation: | (1) School of Electrical and Computer Engineering, Chungbuk National University, Cheongju, Republic of Korea;(2) Department of Electrical Engineering, Yeungnam University, Kyongsan, Republic of Korea |
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Abstract: | In this paper, a new robust H ∞ filtering problem for uncertain time-delay systems is considered. Based on the Lyapunov method, a design criterion of the robust H ∞ filter, in which the filtering process remains asymptotically stable for all admissible uncertainties and the transfer function from the disturbance inputs to error state outputs satisfies the prespecified H ∞ norm upper bound constraint, is derived in terms of matrix inequalities. The inequalities can be solved easily by efficient convex optimization algorithms. A numerical example is included to illustrate the validity of the proposed design approach. |
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Keywords: | Time-delay systems Lyapunov methods uncertainties,H ∞ filtering matrix inequalities |
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