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Constrained Predictive Control of Markov Jump Linear Systems Based on Terminal Invariant Sets
基于终端不变集的 Markov 跳变系统约束预测控制

Keywords: Markov jump systems,constraint control,receding horizon control(RHC),terminal invariant sets,semidefinite programming(SDP)
Markov跳变系统
,约束控制,滚动时域控制,终端不变集,正半定规划

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Abstract:

In this paper,the receding horizon control(RHC) problem is considered for discrete time Markov jump linear sys- tems,subject to constraints on control inputs and observed out- puts.In given receding horizon,for every mode trajectory,con- trol inputs sequence is designed to drive the state trajectory into a terminal invariant set.The invariant set depends on the exis- tence of a fictitious state feedback control law,which guarantees stochastic stability of jump system out of the receding horizon. Based on such stability analysis,a linear matrix inequality ap- proach for designing receding horizon controller subject to input and output constraints is developed.

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