Tube-Based Active Robust MPC for Uncertain Constrained Linear Systems With Time Delays
The problem of robust tube-based model predictive control (MPC) is considered for a class of discrete-time constrained linear systems with time-delayed states and additional disturbances. This paper presents an active robust control scheme that can simultaneously cope with disturbances and time-dela...
| 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/8822698/ |
| _version_ | 1811212210533302272 |
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| author | Qin Weiwei Liu Jieyu Hu Xiaoxiang He Bing Liu Gang |
| author_facet | Qin Weiwei Liu Jieyu Hu Xiaoxiang He Bing Liu Gang |
| author_sort | Qin Weiwei |
| collection | DOAJ |
| description | The problem of robust tube-based model predictive control (MPC) is considered for a class of discrete-time constrained linear systems with time-delayed states and additional disturbances. This paper presents an active robust control scheme that can simultaneously cope with disturbances and time-delay states using active approaches, rather than inherent system robustness. The proposed robust controller design methodology is implemented by constructing a minimal robust control-invariant set of nominal linear systems with time-delayed states neglecting additional disturbances. Based on the time-delay-dependent robust MPC approach for the nominal time-delay system, a novel active robust tube-based MPC algorithm considering time-delayed states is proposed. Furthermore, a delay-dependent sufficient condition for the tube-based controller is derived. Based on the implementation of the delay-dependent robust tube-based controller, the novel active control method is much less conservative than previous approaches. Numerical simulation results demonstrate the effectiveness of the proposed method. |
| first_indexed | 2024-04-12T05:24:16Z |
| format | Article |
| id | doaj.art-0f4acbf1e3b349adbc63c569ddbdaeb6 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-12T05:24:16Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-0f4acbf1e3b349adbc63c569ddbdaeb62022-12-22T03:46:19ZengIEEEIEEE Access2169-35362019-01-01712555212556110.1109/ACCESS.2019.29389948822698Tube-Based Active Robust MPC for Uncertain Constrained Linear Systems With Time DelaysQin Weiwei0https://orcid.org/0000-0001-6479-336XLiu Jieyu1Hu Xiaoxiang2https://orcid.org/0000-0001-7047-1949He Bing3Liu Gang4Teaching and Research Department, Xi’an Research Institute of High-Tech, Xi’an, ChinaTeaching and Research Department, Xi’an Research Institute of High-Tech, Xi’an, ChinaCollege of Automation, Northwest Polytechnic University, Xi’an, ChinaTeaching and Research Department, Xi’an Research Institute of High-Tech, Xi’an, ChinaTeaching and Research Department, Xi’an Research Institute of High-Tech, Xi’an, ChinaThe problem of robust tube-based model predictive control (MPC) is considered for a class of discrete-time constrained linear systems with time-delayed states and additional disturbances. This paper presents an active robust control scheme that can simultaneously cope with disturbances and time-delay states using active approaches, rather than inherent system robustness. The proposed robust controller design methodology is implemented by constructing a minimal robust control-invariant set of nominal linear systems with time-delayed states neglecting additional disturbances. Based on the time-delay-dependent robust MPC approach for the nominal time-delay system, a novel active robust tube-based MPC algorithm considering time-delayed states is proposed. Furthermore, a delay-dependent sufficient condition for the tube-based controller is derived. Based on the implementation of the delay-dependent robust tube-based controller, the novel active control method is much less conservative than previous approaches. Numerical simulation results demonstrate the effectiveness of the proposed method.https://ieeexplore.ieee.org/document/8822698/Constrained linear systemstime-delayed statesdelay-dependent feedback controltube-based robust model predictive control |
| spellingShingle | Qin Weiwei Liu Jieyu Hu Xiaoxiang He Bing Liu Gang Tube-Based Active Robust MPC for Uncertain Constrained Linear Systems With Time Delays IEEE Access Constrained linear systems time-delayed states delay-dependent feedback control tube-based robust model predictive control |
| title | Tube-Based Active Robust MPC for Uncertain Constrained Linear Systems With Time Delays |
| title_full | Tube-Based Active Robust MPC for Uncertain Constrained Linear Systems With Time Delays |
| title_fullStr | Tube-Based Active Robust MPC for Uncertain Constrained Linear Systems With Time Delays |
| title_full_unstemmed | Tube-Based Active Robust MPC for Uncertain Constrained Linear Systems With Time Delays |
| title_short | Tube-Based Active Robust MPC for Uncertain Constrained Linear Systems With Time Delays |
| title_sort | tube based active robust mpc for uncertain constrained linear systems with time delays |
| topic | Constrained linear systems time-delayed states delay-dependent feedback control tube-based robust model predictive control |
| url | https://ieeexplore.ieee.org/document/8822698/ |
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