Model Predictive Control for Markovian Jump Systems in the Finite-Time Domain

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Robust Control for Discrete-Time Markovian Jump Systems in the Finite-Time Domain

Abstract

The model predictive control is adopted to optimize the finite-time performance for discrete-time Markovian jump systems and semi-Markovian jump systems. Our target is to minimize the control inputs in a given time interval while satisfying the required transient performance by means of online rolling optimization. In this way, the minimum energy consumption can be realized. Furthermore, for the semi-Markovian jump systems whose transition probability depends on sojourn-time, the finite-time performance under the model predictive control scheme is analyzed in the situation that the transition probability at each time depends on the history information of elapsed switching sequences.

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Correspondence to **%20He%2C%20Fei%20Liu&contentID=10.1007%2F978-3-031-22182-8_10&copyright=The%20Author%28s%29%2C%20under%20exclusive%20license%20to%20Springer%20Nature%20Switzerland%20AG&publication=eBook&publicationDate=2023&startPage=183&endPage=202&imprint=The%20Author%28s%29%2C%20under%20exclusive%20license%20to%20Springer%20Nature%20Switzerland%20AG">Reprints and permissions

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Luan, X., He, S., Liu, F. (2023). Model Predictive Control for Markovian Jump Systems in the Finite-Time Domain. In: Robust Control for Discrete-Time Markovian Jump Systems in the Finite-Time Domain. Lecture Notes in Control and Information Sciences, vol 492. Springer, Cham. https://doi.org/10.1007/978-3-031-22182-8_10

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