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Stability of receding horizon control of Markov jump linear systems without jump observations

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2 Author(s)
Costa, E.E. ; Fac. de Engenharia Eletrica e de Comput., UNICAMP, Campinas, Brazil ; do Val, J.B.R.

This paper addresses the stability of receding horizon control for discrete-time Markov jump linear systems assuming no observation on the jump variable and complete observation of the linear state. Linear feedback is employed, and it is shown that the quadratic N-stage cost functional provides a test for the stability in the mean square sense. The resulting stability condition relies on the idea of a sufficient large horizon length and an observability concept is developed to assure the existence of such an horizon

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American Control Conference, 2000. Proceedings of the 2000  (Volume:6 )

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