Brockett's Second Example: A FAS Approach Treatment
查看参考文献49篇
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文摘
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In this paper, several equivalent forms of the well-known Brockett's second example system are firstly presented. The stabilization of the system is then treated in the fully actuated system approach. A simple continuous time-invariant sub-stabilizing controller is designed, and the corresponding region of attraction is characterized. As a result, all trajectories of the system starting from the characterized region of attraction are driven exponentially to the origin. Since the region of attraction is very large, the designed sub-stabilizing controller can be directly useful in many practical situations. In cases where the initial values are indeed needed to be chosen out of the region of attraction, extremely simple pre-controllers can be designed, which drive the system trajectories into the designed region of attraction. A simulation of the designed control system is carried out to show the effect of the proposed approach. |
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来源
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Journal of Systems Science and Complexity
,2023,36(5):1789-1808 【核心库】
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DOI
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10.1007/s11424-023-2282-x
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关键词
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Brockett integrator
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continuous time-invariant controllers
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fully actuated system approach
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region of attraction
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sub-stabilization
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地址
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1.
Southern University of Science and Technology, Shenzhen Key Laboratory of Control Theory and Intelligent Systems, Shenzhen, 518055
2.
Center for Control Theory and Guidance Technology,Harbin Institute of Technology, Harbin, 150001
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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1009-6124 |
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学科
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数学 |
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基金
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supported by Shenzhen Key Laboratory of Control Theory and Intelligent Systems
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the Science Center Program of the National Natural Science Foundation of China
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also the Major Program of National Natural Science Foundation of China
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文献收藏号
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CSCD:7551150
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参考文献 共
49
共3页
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