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State feedback H∞ control of switched linear singularly perturbed systems

机译：切换线性奇摄动系统的状态反馈H∞控制

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State feedback H∞ control problem for switched linear singularly perturbed systems (SLSPSs) is investigated in this paper. A switched linear singularly perturbed model is constructed to describe uncertain singularly perturbed systems. State feedback H∞ controller gains are obtained by solving a set of linear matrix inequalities (LMIs). A numerical example is presented to illustrate the effectiveness of the proposed approach.

机译：研究了切换线性奇异摄动系统（SLSPSs）的状态反馈H∞控制问题。构造了一个开关线性奇异摄动模型来描述不确定的奇异摄动系统。通过求解一组线性矩阵不等式（LMI），可以获得状态反馈H∞控制器增益。数值例子表明了该方法的有效性。

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《IEEE Chinese Guidance, Navigation and Control Conference 》|2016年|33-37|共5页
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Xuan Chen; Jinxiang Chen;
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关键词
Switches; Stability analysis; Symmetric matrices; State feedback; Switched systems; Numerical models;

机译：开关;稳定性分析;对称矩阵;状态反馈;开关系统;数值模型;

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1. Composite Control for Nonlinear Singularly Perturbed Systems Based on Feedback Linearization Method [J] . ALEKSEY A. KABANOV WSEAS Transactions on Systems . 2015 ,第Null期

机译：基于反馈线性化方法的非线性奇摄动系统的复合控制
2. Control of nonlinear singularly perturbed systems using feedback linearisation [J] . H.-L. Choi, Y.-S. Shin, J.-T. Lim IEE Proceedings. Part D, Control Theory and Applications . 2005 ,第1期

机译：使用反馈线性化控制非线性奇异摄动系统
3. Control of nonlinear singularly perturbed systems using feedback linearisation [J] . H.-L. Choi, Y.-S. Shin, J.-T. Lim IEE Proceedings. Part D, Control Theory and Applications . 2005 ,第1期

机译：使用反馈线性化控制非线性奇异摄动系统
4. State feedback H∞ control of switched linear singularly perturbed systems [C] . Xuan Chen, Jinxiang Chen IEEE Chinese Guidance, Navigation and Control Conference . 2016

机译：状态反馈H∞控制切换线性奇异扰动系统
5. Singularly perturbed switching diffusions with fast and slow switches. [D] . Kniazeva, Maria Boris. 1999

机译：快速和慢速开关奇异地扰动开关扩散。
6. Modelling human balance using switched systems with linear feedback control [O] . Piotr Kowalczyk, Paul Glendinning, Martin Brown, 2012

机译：使用带有线性反馈控制的开关系统对人体平衡进行建模
7. Static Output Feedback Quantized Control for Fuzzy Markovian Switching Singularly Perturbed Systems with Deception Attacks [O] . Jun Cheng, Yueying Wang, Ju H. Park, 2021

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8. Near-Optimal Feedback Stabilization of a Class of Nonlinear Singularly Perturbed Systems. [R] . Chow, J. H., Kokotovic, P. V. 1977

机译：一类非线性奇异摄动系统的近似最优反馈镇定。

State feedback H∞ control of switched linear singularly perturbed systems

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