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A Parameter-Dependent Approach to Robust H_{\infty } Filtering for Time-Delay Systems

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3 Author(s)
Huijun Gao ; Sch. of Astronaut., Harbin Inst. of Technol., Harbin ; Xiangyu Meng ; Tongwen Chen

This paper is concerned with the problem of robust H infin filtering for linear continuous-time systems with polytopic parameter uncertainties and time-varying delay in the state. We utilize the polynomially parameter-dependent idea to solve the robust H infin filtering problem, with new linear matrix inequality conditions obtained for the existence of admissible filters. These conditions are developed based on homogeneous polynomially parameter-dependent matrices of arbitrary degree. The delay-dependence and polynomial parameter-dependence guarantee the proposed approach to be potentially less conservative, which is shown via a numerical example.

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Automatic Control, IEEE Transactions on  (Volume:53 ,  Issue: 10 )