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Dynamic output feedback H control of discrete-time Markov jump linear systems through Linear Matrix Inequalities

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3 Author(s)
A. P. C. Goncalves ; DSCE/School of Electrical and Computing Engineering, UNICAMP, CP 6101, 13083 - 970, Campinas, SP, Brazil ; A. R. Fioravanti ; J. C. Geromel

This paper addresses the H dynamic output feedback control design problem of discrete-time Markov jump linear systems. Under the mode-dependent assumption, which means that the Markov parameters are available for feedback, the main contribution is on the complete characterization of all full order proper controllers such that the H norm of the closed loop system remains bounded by a given pre-specified level, yielding the global solution to the corresponding mode-dependent optimal control design problem, expressed in terms of pure linear matrix inequalities. LMIs. A practical application, consisting the networked control of a vehicle platoon using measurement signals transmitted in a Markov channel, as initially proposed in Seiler, P and Sengupta, R., (2005), is considered.

Published in:

Decision and Control, 2008. CDC 2008. 47th IEEE Conference on

Date of Conference:

9-11 Dec. 2008