Optimal control of switched systems and its parallel optimization algorithm
In this paper, a class of optimal switching control problems is considered in which the mode sequence of active subsystems and the number of mode switchings are not pre-specified, and both the switching sequence and the control inputs are to be chosen such that the cost functional is minimized. For...
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| Veröffentlicht in: | Journal of computational and applied mathematics Jg. 261; S. 287 - 298 |
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| Abstract | In this paper, a class of optimal switching control problems is considered in which the mode sequence of active subsystems and the number of mode switchings are not pre-specified, and both the switching sequence and the control inputs are to be chosen such that the cost functional is minimized. For solving this problem, we discuss the necessary conditions for optimality and the construction method for suboptimal solutions, and develop a few sufficient conditions of judgment on the optimal or suboptimal solutions of the switched system. According to the sufficient conditions, a parallel computational algorithm is constructed to find optimal or suboptimal solutions. For illustration, two examples are solved using the proposed algorithm. |
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| AbstractList | In this paper, a class of optimal switching control problems is considered in which the mode sequence of active subsystems and the number of mode switchings are not pre-specified, and both the switching sequence and the control inputs are to be chosen such that the cost functional is minimized. For solving this problem, we discuss the necessary conditions for optimality and the construction method for suboptimal solutions, and develop a few sufficient conditions of judgment on the optimal or suboptimal solutions of the switched system. According to the sufficient conditions, a parallel computational algorithm is constructed to find optimal or suboptimal solutions. For illustration, two examples are solved using the proposed algorithm. |
| Author | Zhai, Jingang Feng, Enmin Yin, Hongchao Shen, Bangyu Gao, Jinggui |
| Author_xml | – sequence: 1 givenname: Jingang surname: Zhai fullname: Zhai, Jingang email: zhaijingang@hotmail.com organization: School of Mathematics and Information, Ludong University, Yantai, Shandong 264025, PR China – sequence: 2 givenname: Bangyu surname: Shen fullname: Shen, Bangyu organization: School of Mathematical Science, Huaiyin Normal University, Huai’an, Jiangsu 223300, PR China – sequence: 3 givenname: Jinggui surname: Gao fullname: Gao, Jinggui organization: School of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, PR China – sequence: 4 givenname: Enmin surname: Feng fullname: Feng, Enmin organization: School of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, PR China – sequence: 5 givenname: Hongchao surname: Yin fullname: Yin, Hongchao email: hcyin@dlut.edu.cn organization: School of Energy and Power Engineering, Dalian University of Technology, Dalian, Liaoning 116024, PR China |
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| Cites_doi | 10.1287/moor.27.2.312.325 10.1109/TAC.2006.875053 10.1109/ISIC.2001.971499 10.1109/9.654885 10.1080/0020717021000023825 10.1109/CDC.2001.980634 10.1109/TAC.1966.1098336 10.1109/TAC.2003.821417 10.1109/ACC.2006.1657674 10.1016/j.automatica.2009.05.029 10.1111/j.1934-6093.2004.tb00207.x 10.1109/TAC.2009.2029310 10.1016/j.mcm.2008.08.019 10.1007/BF01447655 10.1016/j.automatica.2008.10.031 10.3934/jimo.2006.2.435 10.1109/CDC.2002.1185065 10.1016/j.mcm.2007.06.028 10.1016/j.automatica.2008.04.011 10.1109/CDC.1999.827981 10.1109/9.911417 10.1109/ACC.2000.878693 10.1109/CDC.2003.1272934 10.1016/j.na.2005.03.082 10.1023/A:1016259507911 10.1017/S0334270000010936 10.1016/j.mcm.2005.08.012 |
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| Keywords | Switched systems Optimal switching control Parallel algorithm Nonlinear hybrid system Optimal control |
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| SubjectTerms | Nonlinear hybrid system Optimal control Optimal switching control Parallel algorithm Switched systems |
| Title | Optimal control of switched systems and its parallel optimization algorithm |
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