Stabilization of Switched Linear Systems Using Continuous Control Input against Known Adversarial Switching

Stabilization of Switched Linear Systems Using Continuous Control Input against Known Adversarial Switching
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使用针对已知对抗性切换的连续控制输入来稳定切换线性系统

DOI:
10.1109/icca.2018.8444320
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发表时间:
2018
期刊:
2018 IEEE 14th International Conference on Control and Automation (ICCA)
影响因子:
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通讯作者:
Donghwan Lee
Donghwan Lee
中科院分区:
--
文献类型:
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作者:
Jianghai Hu;Jinglai Shen;Donghwan Lee

文献摘要

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研究了线性切换控制系统的连续控制输入设计问题。假设连续控制器可以访问当前的开关模式,并且可以是模式相关的状态反馈控制器的集合的形式。在给定的信息结构下,最快的稳定化率被提出作为系统的可稳定性的定量度量,并使用范数导出其界。给出了稳定化率的计算方法,并通过实例加以说明。
The problem of designing continuous control input to stabilize switched linear control systems against adversarial switching is studied. It is assumed that the continuous controller has access to the current switching mode and can be of the form of an ensemble of mode-dependent state feedback controllers. The fastest stabilizing rate under the given information structure is proposed as a quantitative metric of the system’s stabilizability, and its bounds are derived using seminorms. Computation algorithms for the stabilizing rate are developed and illustrated through examples.