Brockett's First Example: An FAS Approach Treatment
查看参考文献41篇
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文摘
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In this note, the well-known Brockett's first example system is treated with the fully actuated system (FAS) approach. Firstly, it is shown that the system can be exponentially substabilized by a smooth controller in the sense that, except those starting from initial values on the z0-axis of the initial value space, all trajectories of the designed system as well as the control signals decay to zero exponentially. Secondly, global stabilization is realized through a way of enabling the trajectories starting from initial values on the z0-axis also to go to the origin. The idea is to firstly move an initial point on the z0-axis away from the axis using a pre-controller, and then to take over by the designed exponentially sub-stabilizing controller. |
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来源
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Journal of Systems Science and Complexity
,2022,35(2):441-456 【核心库】
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DOI
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10.1007/s11424-022-2090-8
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关键词
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Exponential sub-stabilization
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feedback stabilization
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fully actuated system approach
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region of attraction
;
singularity sets
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地址
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1.
Center for Control Science and Technology, Southern University of Science and Technology, 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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自动化技术、计算机技术;航天(宇宙航行) |
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基金
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supported by the Major Program of National Natural Science Foundation of China
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国家自然科学基金
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also by the Science Center Program of the National Natural Science Foundation of China
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文献收藏号
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CSCD:7238853
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参考文献 共
41
共3页
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