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A descriptor system approach to H control of linear time-delay systems

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2 Author(s)
Fridman, E. ; Dept. of Electr. Eng. Syst., Tel Aviv Univ., Israel ; Shaked, U.

The output-feedback H control problem is solved for continuous-time, linear, retarded and neutral-type systems. A delay-dependent solution is obtained in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying P. Park's inequality (1999) for bounding cross-terms. A state-feedback solution is derived for systems with polytopic parameter uncertainties. An output-feedback controller is then found by solving two LMIs, one of which is associated with a descriptor time-delay "innovation filter". The cases of instantaneous and delayed measurements are considered. Numerical examples are given which illustrate the effectiveness of the new theory

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Automatic Control, IEEE Transactions on  (Volume:47 ,  Issue: 2 )