Finite-time control of discrete-time semi-Markov jump linear systems: A self-triggered MPC approach
In this paper, a self-triggered model predictive control (MPC) strategy is developed for discrete-time semi-Markov jump linear systems to achieve a desired finite-time performance. To obtain the multi-step predictive states when system mode jumping is subject to the semi-Markov chain, the concept of...
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| Published in | Journal of the Franklin Institute Vol. 359; no. 13; pp. 6939 - 6957 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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Elsevier Ltd
01.09.2022
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| Online Access | Get full text |
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| Abstract | In this paper, a self-triggered model predictive control (MPC) strategy is developed for discrete-time semi-Markov jump linear systems to achieve a desired finite-time performance. To obtain the multi-step predictive states when system mode jumping is subject to the semi-Markov chain, the concept of multi-step semi-Markov kernel is addressed. Meanwhile, a self-triggered scheme is formulated to predict sampling instants automatically and to reduce the computational burden of the on-line solving of MPC. Furthermore, the co-design of the self-triggered scheme and the MPC approach is adjusted to design the control input when keeping the state trajectories within a pre-specified bound over a given time interval. Finally, a numerical example and a population ecological system are introduced to evaluate the effectiveness of the proposed control. |
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| AbstractList | In this paper, a self-triggered model predictive control (MPC) strategy is developed for discrete-time semi-Markov jump linear systems to achieve a desired finite-time performance. To obtain the multi-step predictive states when system mode jumping is subject to the semi-Markov chain, the concept of multi-step semi-Markov kernel is addressed. Meanwhile, a self-triggered scheme is formulated to predict sampling instants automatically and to reduce the computational burden of the on-line solving of MPC. Furthermore, the co-design of the self-triggered scheme and the MPC approach is adjusted to design the control input when keeping the state trajectories within a pre-specified bound over a given time interval. Finally, a numerical example and a population ecological system are introduced to evaluate the effectiveness of the proposed control. |
| Author | Wen, Jiwei Liu, Fei Stojanovic, Vladimir He, Peng Luan, Xiaoli |
| Author_xml | – sequence: 1 givenname: Peng surname: He fullname: He, Peng organization: Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi 214122, China – sequence: 2 givenname: Jiwei surname: Wen fullname: Wen, Jiwei organization: Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi 214122, China – sequence: 3 givenname: Vladimir surname: Stojanovic fullname: Stojanovic, Vladimir organization: Department of Automatic Control, Robotics and Fluid Technique, Faculty of Mechanical and Civil Engineering, University of Kragujevac, Kraljevo 36000, Serbia – sequence: 4 givenname: Fei orcidid: 0000-0001-7160-2605 surname: Liu fullname: Liu, Fei organization: Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi 214122, China – sequence: 5 givenname: Xiaoli surname: Luan fullname: Luan, Xiaoli email: xlluan@jiangnan.edu.cn, xiaoli_luan@126.com organization: Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi 214122, China |
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| Cites_doi | 10.1016/j.automatica.2018.04.016 10.1109/TAC.2019.2905223 10.1016/j.automatica.2017.12.034 10.1109/TFUZZ.2021.3130201 10.1109/TAC.2020.2992564 10.1002/rnc.3121 10.1109/TIE.2019.2896098 10.1016/j.apm.2012.07.060 10.1109/TAC.2017.2774006 10.1016/j.automatica.2016.05.004 10.1016/j.jfranklin.2018.01.035 10.1007/s12555-016-0066-y 10.1109/TFUZZ.2022.3148875 10.1109/TCYB.2020.2996743 10.1002/rnc.5603 10.1109/TAC.2016.2618844 10.1016/j.automatica.2017.07.032 10.1109/TSMC.2018.2798644 10.1021/j100540a008 10.1002/rnc.2862 10.1016/0005-1098(86)90045-2 10.1080/00207179.2021.2013542 10.1016/j.cnsns.2014.06.006 10.1631/FITEE.2000182 10.1016/j.automatica.2021.109590 |
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| References | Sun, Dai, Liu, Dimarogonas, Xia (bib0017) 2019; 64 Zhang, Lim, Liu (bib0011) 2018; 355 Velasco, Fuertes, Marti (bib0012) 2003; vol. 384 Zhang, Leng, Colaneri (bib0004) 2015; 61 Wang, Zhu (bib0005) 2018; 94 He, Ai, Ren, Dong, Liu (bib0024) 2018; 49 Tian, Yan, Zhang, Zhan, Peng (bib0008) 2020 Cheng, Zhu, Zhong, Zhong, Zeng (bib0026) 2015; 20 Zong, Wang, Zheng, Hou (bib0025) 2015; 25 Pardoux (bib0002) 2008; Vol. 796 Wen, Peng (bib0009) 2017; 15 Petersen, Hollot (bib0028) 1986; 22 He, Wen, Luan, Liu (bib0021) 2021 Wan, Luan, Karimi, Liu (bib0013) 2020; 66 He, Wen, Luan, Liu (bib0019) 2021 Zhang, Yang, Colaneri (bib0006) 2016; 62 Sala, Hernández-Mejías, Ariño (bib0010) 2017; 86 Pan, Li, Liang, Lam (bib0029) 2021 Cheng, He, Luan, Liu (bib0022) 2021; 129 Gillespie (bib0001) 1977; 81 Li, Wang, Su, Sun (bib0014) 2021; 22 Zeng, Deng, Gao, Liu (bib0015) 2021 Ren, He, Luan, Liu, Karimi (bib0023) 2020; 51 Mi, Zou, Li, Karimi (bib0020) 2019; 67 Pan, Wu, Lam (bib0030) 2022 Liu, Li, Gao, Xu (bib0018) 2018; 89 Zhang, Liu (bib0027) 2013; 37 Huang, Shi (bib0003) 2013; 23 Shen, Li, Xu, Sreeram (bib0007) 2017; 63 Brunner, Heemels, Allgöwer (bib0016) 2016; 72 Sun (10.1016/j.jfranklin.2022.06.043_bib0017) 2019; 64 He (10.1016/j.jfranklin.2022.06.043_bib0021) 2021 Wan (10.1016/j.jfranklin.2022.06.043_bib0013) 2020; 66 Zhang (10.1016/j.jfranklin.2022.06.043_bib0004) 2015; 61 Zeng (10.1016/j.jfranklin.2022.06.043_bib0015) 2021 Sala (10.1016/j.jfranklin.2022.06.043_bib0010) 2017; 86 Shen (10.1016/j.jfranklin.2022.06.043_bib0007) 2017; 63 He (10.1016/j.jfranklin.2022.06.043_bib0024) 2018; 49 Wen (10.1016/j.jfranklin.2022.06.043_bib0009) 2017; 15 Li (10.1016/j.jfranklin.2022.06.043_bib0014) 2021; 22 Cheng (10.1016/j.jfranklin.2022.06.043_bib0022) 2021; 129 Zhang (10.1016/j.jfranklin.2022.06.043_bib0011) 2018; 355 Cheng (10.1016/j.jfranklin.2022.06.043_bib0026) 2015; 20 Petersen (10.1016/j.jfranklin.2022.06.043_bib0028) 1986; 22 Pan (10.1016/j.jfranklin.2022.06.043_bib0029) 2021 Velasco (10.1016/j.jfranklin.2022.06.043_bib0012) 2003; vol. 384 Huang (10.1016/j.jfranklin.2022.06.043_bib0003) 2013; 23 He (10.1016/j.jfranklin.2022.06.043_bib0019) 2021 Mi (10.1016/j.jfranklin.2022.06.043_bib0020) 2019; 67 Tian (10.1016/j.jfranklin.2022.06.043_bib0008) 2020 Zhang (10.1016/j.jfranklin.2022.06.043_bib0027) 2013; 37 Zong (10.1016/j.jfranklin.2022.06.043_bib0025) 2015; 25 Zhang (10.1016/j.jfranklin.2022.06.043_bib0006) 2016; 62 Ren (10.1016/j.jfranklin.2022.06.043_bib0023) 2020; 51 Pardoux (10.1016/j.jfranklin.2022.06.043_bib0002) 2008; Vol. 796 Liu (10.1016/j.jfranklin.2022.06.043_bib0018) 2018; 89 Pan (10.1016/j.jfranklin.2022.06.043_bib0030) 2022 Brunner (10.1016/j.jfranklin.2022.06.043_bib0016) 2016; 72 Gillespie (10.1016/j.jfranklin.2022.06.043_bib0001) 1977; 81 Wang (10.1016/j.jfranklin.2022.06.043_bib0005) 2018; 94 |
| References_xml | – volume: 81 start-page: 2340 year: 1977 end-page: 2361 ident: bib0001 article-title: Exact stochastic simulation of coupled chemical reactions publication-title: J. Phys. Chem. – volume: 94 start-page: 72 year: 2018 end-page: 80 ident: bib0005 article-title: Stability analysis of semi-Markov switched stochastic systems publication-title: Automatica – volume: vol. 384 year: 2003 ident: bib0012 article-title: The self triggered task model for real-time control systems publication-title: Work-in-Progress Session of the 24th IEEE Real-Time Systems Symposium (RTSS03) – volume: 67 start-page: 512 year: 2019 end-page: 520 ident: bib0020 article-title: Self-triggered DMPC design for cooperative multiagent systems publication-title: IEEE Trans. Ind. Electron. – volume: 37 start-page: 3748 year: 2013 end-page: 3760 ident: bib0027 article-title: Observer-based finite-time H publication-title: Appl. Math. Model. – year: 2021 ident: bib0029 article-title: A novel mixed control approach for fuzzy systems via membership functions online learning policy publication-title: IEEE Trans. Fuzzy Syst. – volume: 89 start-page: 333 year: 2018 end-page: 339 ident: bib0018 article-title: Robust self-triggered min-max model predictive control for discrete-time nonlinear systems publication-title: Automatica – volume: 49 start-page: 281 year: 2018 end-page: 286 ident: bib0024 article-title: Finite-time resilient controller design of a class of uncertain nonlinear systems with time-delays under asynchronous switching publication-title: IEEE Trans. Syst. Man Cybern. – volume: 72 start-page: 73 year: 2016 end-page: 83 ident: bib0016 article-title: Robust self-triggered MPC for constrained linear systems: a tube-based approach publication-title: Automatica – volume: 64 start-page: 4780 year: 2019 end-page: 4787 ident: bib0017 article-title: Robust self-triggered MPC with adaptive prediction horizon for perturbed nonlinear systems publication-title: IEEE Trans. Automat. Control – year: 2022 ident: bib0030 article-title: Security-based fuzzy control for nonlinear networked control systems with dos attacks via a resilient event-triggered scheme publication-title: IEEE Trans. Fuzzy Syst. – volume: Vol. 796 year: 2008 ident: bib0002 article-title: Markov Processes and Applications: Algorithms, Networks, Genome and Finance – volume: 63 start-page: 2709 year: 2017 end-page: 2714 ident: bib0007 article-title: Slow state variables feedback stabilization for semi-Markov jump systems with singular perturbations publication-title: IEEE Trans. Automat. Control – volume: 129 start-page: 109590 year: 2021 ident: bib0022 article-title: Finite-region asynchronous H publication-title: Automatica – year: 2020 ident: bib0008 article-title: Resilient static output feedback control of linear semi-Markov jump systems with incomplete semi-Markov kernel publication-title: IEEE Trans. Automat. Control – volume: 25 start-page: 914 year: 2015 end-page: 936 ident: bib0025 article-title: Finite-time H publication-title: Int. J. Robust Nonlinear Control – volume: 20 start-page: 571 year: 2015 end-page: 582 ident: bib0026 article-title: Finite-time H publication-title: Commun. Nonlinear Sci. Numer. Simul. – volume: 61 start-page: 503 year: 2015 end-page: 508 ident: bib0004 article-title: Stability and stabilization of discrete-time semi-Markov jump linear systems via semi-Markov kernel approach publication-title: IEEE Trans. Automat. Control – volume: 15 start-page: 1040 year: 2017 end-page: 1050 ident: bib0009 article-title: Switching predictive control for continuous-time Markovian jump delay systems publication-title: Int. J. Control Autom. Syst. – year: 2021 ident: bib0015 article-title: Event-triggered and self-triggered publication-title: IEEE Trans. Cybern. – year: 2021 ident: bib0021 article-title: Finite-time self-triggered model predictive control of discrete-time Markov jump linear systems publication-title: Int. J. Robust Nonlinear Control – volume: 51 start-page: 77 year: 2020 end-page: 87 ident: bib0023 article-title: Finite-time l2-gain asynchronous control for continuous-time positive hidden Markov jump systems via T-S fuzzy model approach publication-title: IEEE Trans. Cybern. – volume: 22 start-page: 397 year: 1986 end-page: 411 ident: bib0028 article-title: A riccati equation approach to the stabilization of uncertain linear systems publication-title: Automatica – volume: 86 start-page: 121 year: 2017 end-page: 128 ident: bib0010 article-title: Stable receding-horizon scenario predictive control for Markov-jump linear systems publication-title: Automatica – volume: 23 start-page: 2028 year: 2013 end-page: 2043 ident: bib0003 article-title: Stochastic stability and robust stabilization of semi-Markov jump linear systems publication-title: Int. J. Robust Nonlinear Control – volume: 62 start-page: 2870 year: 2016 end-page: 2885 ident: bib0006 article-title: Stability and stabilization of semi-Markov jump linear systems with exponentially modulated periodic distributions of sojourn time publication-title: IEEE Trans. Automat. Control – volume: 22 start-page: 1068 year: 2021 end-page: 1079 ident: bib0014 article-title: Robust distributed model predictive consensus of discrete-time multi-agent systems: a self-triggered approach publication-title: Front. Inf. Technol. Electron.Eng. – volume: 355 start-page: 3423 year: 2018 end-page: 3437 ident: bib0011 article-title: Robust mixed H2/H publication-title: J. Franklin Inst. – start-page: 1 year: 2021 end-page: 9 ident: bib0019 article-title: Self-triggered model predictive control of discrete-time Markov jump linear systems publication-title: Int. J. Control – volume: 66 start-page: 1353 year: 2020 end-page: 1360 ident: bib0013 article-title: Dynamic self-triggered controller codesign for Markov jump systems publication-title: IEEE Trans. Automat. Control – volume: 94 start-page: 72 year: 2018 ident: 10.1016/j.jfranklin.2022.06.043_bib0005 article-title: Stability analysis of semi-Markov switched stochastic systems publication-title: Automatica doi: 10.1016/j.automatica.2018.04.016 – volume: 64 start-page: 4780 issue: 11 year: 2019 ident: 10.1016/j.jfranklin.2022.06.043_bib0017 article-title: Robust self-triggered MPC with adaptive prediction horizon for perturbed nonlinear systems publication-title: IEEE Trans. Automat. Control doi: 10.1109/TAC.2019.2905223 – volume: 89 start-page: 333 year: 2018 ident: 10.1016/j.jfranklin.2022.06.043_bib0018 article-title: Robust self-triggered min-max model predictive control for discrete-time nonlinear systems publication-title: Automatica doi: 10.1016/j.automatica.2017.12.034 – year: 2021 ident: 10.1016/j.jfranklin.2022.06.043_bib0029 article-title: A novel mixed control approach for fuzzy systems via membership functions online learning policy publication-title: IEEE Trans. Fuzzy Syst. doi: 10.1109/TFUZZ.2021.3130201 – year: 2021 ident: 10.1016/j.jfranklin.2022.06.043_bib0015 article-title: Event-triggered and self-triggered L∞ control for Markov jump stochastic nonlinear systems under dos attacks publication-title: IEEE Trans. Cybern. – volume: 66 start-page: 1353 issue: 3 year: 2020 ident: 10.1016/j.jfranklin.2022.06.043_bib0013 article-title: Dynamic self-triggered controller codesign for Markov jump systems publication-title: IEEE Trans. Automat. Control doi: 10.1109/TAC.2020.2992564 – volume: 25 start-page: 914 issue: 6 year: 2015 ident: 10.1016/j.jfranklin.2022.06.043_bib0025 article-title: Finite-time H∞ control for discrete-time switched nonlinear systems with time delay publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.3121 – volume: 67 start-page: 512 issue: 1 year: 2019 ident: 10.1016/j.jfranklin.2022.06.043_bib0020 article-title: Self-triggered DMPC design for cooperative multiagent systems publication-title: IEEE Trans. Ind. Electron. doi: 10.1109/TIE.2019.2896098 – volume: 37 start-page: 3748 issue: 6 year: 2013 ident: 10.1016/j.jfranklin.2022.06.043_bib0027 article-title: Observer-based finite-time H∞ control of discrete-time Markovian jump systems publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2012.07.060 – volume: 63 start-page: 2709 issue: 8 year: 2017 ident: 10.1016/j.jfranklin.2022.06.043_bib0007 article-title: Slow state variables feedback stabilization for semi-Markov jump systems with singular perturbations publication-title: IEEE Trans. Automat. Control doi: 10.1109/TAC.2017.2774006 – volume: 72 start-page: 73 year: 2016 ident: 10.1016/j.jfranklin.2022.06.043_bib0016 article-title: Robust self-triggered MPC for constrained linear systems: a tube-based approach publication-title: Automatica doi: 10.1016/j.automatica.2016.05.004 – volume: 355 start-page: 3423 issue: 8 year: 2018 ident: 10.1016/j.jfranklin.2022.06.043_bib0011 article-title: Robust mixed H2/H∞ model predictive control for Markov jump systems with partially uncertain transition probabilities publication-title: J. Franklin Inst. doi: 10.1016/j.jfranklin.2018.01.035 – volume: 15 start-page: 1040 issue: 3 year: 2017 ident: 10.1016/j.jfranklin.2022.06.043_bib0009 article-title: Switching predictive control for continuous-time Markovian jump delay systems publication-title: Int. J. Control Autom. Syst. doi: 10.1007/s12555-016-0066-y – year: 2022 ident: 10.1016/j.jfranklin.2022.06.043_bib0030 article-title: Security-based fuzzy control for nonlinear networked control systems with dos attacks via a resilient event-triggered scheme publication-title: IEEE Trans. Fuzzy Syst. doi: 10.1109/TFUZZ.2022.3148875 – volume: 61 start-page: 503 issue: 2 year: 2015 ident: 10.1016/j.jfranklin.2022.06.043_bib0004 article-title: Stability and stabilization of discrete-time semi-Markov jump linear systems via semi-Markov kernel approach publication-title: IEEE Trans. Automat. Control – volume: vol. 384 year: 2003 ident: 10.1016/j.jfranklin.2022.06.043_bib0012 article-title: The self triggered task model for real-time control systems – volume: 51 start-page: 77 issue: 1 year: 2020 ident: 10.1016/j.jfranklin.2022.06.043_bib0023 article-title: Finite-time l2-gain asynchronous control for continuous-time positive hidden Markov jump systems via T-S fuzzy model approach publication-title: IEEE Trans. Cybern. doi: 10.1109/TCYB.2020.2996743 – volume: Vol. 796 year: 2008 ident: 10.1016/j.jfranklin.2022.06.043_bib0002 – year: 2021 ident: 10.1016/j.jfranklin.2022.06.043_bib0021 article-title: Finite-time self-triggered model predictive control of discrete-time Markov jump linear systems publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.5603 – year: 2020 ident: 10.1016/j.jfranklin.2022.06.043_bib0008 article-title: Resilient static output feedback control of linear semi-Markov jump systems with incomplete semi-Markov kernel publication-title: IEEE Trans. Automat. Control – volume: 62 start-page: 2870 issue: 6 year: 2016 ident: 10.1016/j.jfranklin.2022.06.043_bib0006 article-title: Stability and stabilization of semi-Markov jump linear systems with exponentially modulated periodic distributions of sojourn time publication-title: IEEE Trans. Automat. Control doi: 10.1109/TAC.2016.2618844 – volume: 86 start-page: 121 year: 2017 ident: 10.1016/j.jfranklin.2022.06.043_bib0010 article-title: Stable receding-horizon scenario predictive control for Markov-jump linear systems publication-title: Automatica doi: 10.1016/j.automatica.2017.07.032 – volume: 49 start-page: 281 issue: 2 year: 2018 ident: 10.1016/j.jfranklin.2022.06.043_bib0024 article-title: Finite-time resilient controller design of a class of uncertain nonlinear systems with time-delays under asynchronous switching publication-title: IEEE Trans. Syst. Man Cybern. doi: 10.1109/TSMC.2018.2798644 – volume: 81 start-page: 2340 issue: 25 year: 1977 ident: 10.1016/j.jfranklin.2022.06.043_bib0001 article-title: Exact stochastic simulation of coupled chemical reactions publication-title: J. Phys. Chem. doi: 10.1021/j100540a008 – volume: 23 start-page: 2028 issue: 18 year: 2013 ident: 10.1016/j.jfranklin.2022.06.043_bib0003 article-title: Stochastic stability and robust stabilization of semi-Markov jump linear systems publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.2862 – volume: 22 start-page: 397 issue: 4 year: 1986 ident: 10.1016/j.jfranklin.2022.06.043_bib0028 article-title: A riccati equation approach to the stabilization of uncertain linear systems publication-title: Automatica doi: 10.1016/0005-1098(86)90045-2 – start-page: 1 year: 2021 ident: 10.1016/j.jfranklin.2022.06.043_bib0019 article-title: Self-triggered model predictive control of discrete-time Markov jump linear systems publication-title: Int. J. Control doi: 10.1080/00207179.2021.2013542 – volume: 20 start-page: 571 issue: 2 year: 2015 ident: 10.1016/j.jfranklin.2022.06.043_bib0026 article-title: Finite-time H∞ estimation for discrete-time Markov jump systems with time-varying transition probabilities subject to average dwell time switching publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2014.06.006 – volume: 22 start-page: 1068 issue: 8 year: 2021 ident: 10.1016/j.jfranklin.2022.06.043_bib0014 article-title: Robust distributed model predictive consensus of discrete-time multi-agent systems: a self-triggered approach publication-title: Front. Inf. Technol. Electron.Eng. doi: 10.1631/FITEE.2000182 – volume: 129 start-page: 109590 year: 2021 ident: 10.1016/j.jfranklin.2022.06.043_bib0022 article-title: Finite-region asynchronous H∞ control for 2D Markov jump systems publication-title: Automatica doi: 10.1016/j.automatica.2021.109590 |
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| Title | Finite-time control of discrete-time semi-Markov jump linear systems: A self-triggered MPC approach |
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