Robust Model Predictive Control for a Class of Discrete-Time Markovian Jump Linear Systems With Operation Mode Disordering
For a class of discrete-time Markovian jump linear systems subject to operation mode disordering, a robust model predictive control method can be proposed to solve this issue. A bijective mapping scheme between the original random process and a new random process is studied to cope with the problem...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8606054/ |
| _version_ | 1818875905474297856 |
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| author | Hongbin Cai Ping Li Chengli Su Jiangtao Cao |
| author_facet | Hongbin Cai Ping Li Chengli Su Jiangtao Cao |
| author_sort | Hongbin Cai |
| collection | DOAJ |
| description | For a class of discrete-time Markovian jump linear systems subject to operation mode disordering, a robust model predictive control method can be proposed to solve this issue. A bijective mapping scheme between the original random process and a new random process is studied to cope with the problem of operation mode disordering. At each sampling time, the original “min-max” optimization problem is transformed into a convex optimization problem with linear matrix inequalities so that the complexity of solving the optimization problem can be greatly reduced. The sufficient stability condition of the Markovian jump linear systems can be achieved by using the Lyapunov stability theory. Moreover, a state feedback control law is obtained, which minimizes an infinite prediction horizon performance cost. Furthermore, the cases of uncertain and unknown transition probabilities are also considered in this paper. The simulation results show that the proposed method can guarantee the optimal control performance and the stability of Markovian jump linear systems. |
| first_indexed | 2024-12-19T13:33:55Z |
| format | Article |
| id | doaj.art-11c3fb4a4e604b5a8556007ac7d41011 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-19T13:33:55Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-11c3fb4a4e604b5a8556007ac7d410112022-12-21T20:19:16ZengIEEEIEEE Access2169-35362019-01-017104151042710.1109/ACCESS.2019.28915068606054Robust Model Predictive Control for a Class of Discrete-Time Markovian Jump Linear Systems With Operation Mode DisorderingHongbin Cai0https://orcid.org/0000-0003-3770-7731Ping Li1Chengli Su2Jiangtao Cao3School of Automation, Northwestern Polytechnical University, Xi’an, ChinaSchool of Information and Control Engineering, Liaoning Shihua University, Fushun, ChinaSchool of Information and Control Engineering, Liaoning Shihua University, Fushun, ChinaSchool of Information and Control Engineering, Liaoning Shihua University, Fushun, ChinaFor a class of discrete-time Markovian jump linear systems subject to operation mode disordering, a robust model predictive control method can be proposed to solve this issue. A bijective mapping scheme between the original random process and a new random process is studied to cope with the problem of operation mode disordering. At each sampling time, the original “min-max” optimization problem is transformed into a convex optimization problem with linear matrix inequalities so that the complexity of solving the optimization problem can be greatly reduced. The sufficient stability condition of the Markovian jump linear systems can be achieved by using the Lyapunov stability theory. Moreover, a state feedback control law is obtained, which minimizes an infinite prediction horizon performance cost. Furthermore, the cases of uncertain and unknown transition probabilities are also considered in this paper. The simulation results show that the proposed method can guarantee the optimal control performance and the stability of Markovian jump linear systems.https://ieeexplore.ieee.org/document/8606054/Robust model predictive controlMarkovian jump linear systems (MJLSs)operation mode disorderinglinear matrix inequalities (LMIs) |
| spellingShingle | Hongbin Cai Ping Li Chengli Su Jiangtao Cao Robust Model Predictive Control for a Class of Discrete-Time Markovian Jump Linear Systems With Operation Mode Disordering IEEE Access Robust model predictive control Markovian jump linear systems (MJLSs) operation mode disordering linear matrix inequalities (LMIs) |
| title | Robust Model Predictive Control for a Class of Discrete-Time Markovian Jump Linear Systems With Operation Mode Disordering |
| title_full | Robust Model Predictive Control for a Class of Discrete-Time Markovian Jump Linear Systems With Operation Mode Disordering |
| title_fullStr | Robust Model Predictive Control for a Class of Discrete-Time Markovian Jump Linear Systems With Operation Mode Disordering |
| title_full_unstemmed | Robust Model Predictive Control for a Class of Discrete-Time Markovian Jump Linear Systems With Operation Mode Disordering |
| title_short | Robust Model Predictive Control for a Class of Discrete-Time Markovian Jump Linear Systems With Operation Mode Disordering |
| title_sort | robust model predictive control for a class of discrete time markovian jump linear systems with operation mode disordering |
| topic | Robust model predictive control Markovian jump linear systems (MJLSs) operation mode disordering linear matrix inequalities (LMIs) |
| url | https://ieeexplore.ieee.org/document/8606054/ |
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