Optimal stabilizing rates of switched linear control systems under arbitrary known switchings
Optimal stabilizing rates of switched linear control systems under arbitrary known switchings
复制标题
任意已知切换下切换线性控制系统的最优稳定率
DOI：
10.1016/j.automatica.2023.111331
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发表时间：
2024
期刊：
影响因子：
6.4
通讯作者：
Lee, Donghwan
中科院分区：
文献类型：
--
作者：
Hu, Jianghai;Shen, Jinglai;Lee, Donghwan
研究了任意模式切换下连续控制输入镇定离散切换线性控制系统的问题。假设在每个时刻切换模式可以任意选择，但设计连续控制输入的控制器总是已知的；因此，连续控制器是依赖于模式的状态反馈控制器集合的一般形式。在这种情况下，提出了最快(最坏)稳定化速度作为系统可镇定性的定量度量。并给出了一个反例，说明了依赖于模式的线性状态反馈控制策略并不总是能达到镇定率。利用(半)范数得到了稳定化速度的上界。当这些界是紧的时，相应的极值范数被几何刻画。给出了基于椭球范数和多面体范数的稳定化速度界的数值计算方法，并通过算例进行了说明。
The problem of stabilizing discrete-time switched linear control systems using continuous control input under arbitrary mode switchings is studied. It is assumed that at each time instance the switching mode can be arbitrarily chosen but is always known by the controller designing the continuous control input; thus the continuous controller is of the general form of an ensemble of mode-dependent state feedback controllers. Under this setting, the fastest (worst-case) stabilizing rate is proposed as a quantitative metric of the systems’ stabilizability. Conditions are derived on when this stabilizing rate can be exactly achieved by an admissible control policy and a counter example is given to show that the stabilizing rate may not always be attained by a mode-dependent linear state feedback control policy. Bounds on the stabilizing rate are derived using (semi)norms. When such bounds are tight, the corresponding extremal norms are characterized geometrically. Numerical algorithms based on ellipsoid and polytope norms are developed for computing bounds of the stabilizing rate and illustrated through examples.
影响因子：
1.1
作者：
N. Guglielmi;M. Zennaro
通讯作者：
M. Zennaro
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
发表时间：
2018
期刊：
2018 IEEE 14th International Conference on Control and Automation (ICCA)
影响因子：
--
作者：
Jianghai Hu;Jinglai Shen;Donghwan Lee
通讯作者：
Donghwan Lee