caa a22 4500 606206108 CHVBK 20210128101010.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00034-014-9936-9 doi (NATIONALLICENCE)springer-10.1007/s00034-014-9936-9 Feedback Predictive Control Based on Periodic Invariant Set for Markov Jump Systems [Elektronische Daten] [Jingong Cheng, Fei Liu] In this paper, a feedback predictive controller design method based on a periodic invariant set is proposed for input/state-constrained Markov jump systems (MJSs). The design procedure is divided into two parts: an offline part and an online part. Firstly, the mode-dependent invariant sets are obtained offline combined with the known transition probability matrix, guaranteeing stochastic stability of the MJS. Then, the periodic invariant set is constructed online by the convex combination of precomputed mode-dependent invariant sets. In this way, we could not only obtain the feedback control sequence based on the periodic invariant set, but also guarantee stochastic stability. This proposed control strategy, which does not directly depend on the jumping modes, could offer more degrees of design freedom and provide a larger stabilizable set. The online variables that need to be solved are numerical parameters, and the online computational burden is reduced. Springer Science+Business Media New York, 2015 Markov jump systems nationallicence Periodic invariant set nationallicence Feedback predictive control nationallicence Stochastic stability nationallicence Cheng Jingong Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, 214122, Wuxi, People's Republic of China aut Liu Fei Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, 214122, Wuxi, People's Republic of China aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/8(2015-08-01), 2681-2693 0278-081X 34:8<2681 2015 34 34 https://doi.org/10.1007/s00034-014-9936-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-014-9936-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cheng Jingong Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, 214122, Wuxi, People's Republic of China aut NATIONALLICENCE 700 1- Liu Fei Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, 214122, Wuxi, People's Republic of China aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/8(2015-08-01), 2681-2693 0278-081X 34:8<2681 2015 34 34