H∞ output feedback stabilization for continuous-time switched linear systems

机译：连续时间切换线性系统的H ∞输出反馈稳定

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摘要

A novel method to H output feedback control of continuous-time switched linear systems is investigated in this paper. Base on multiple Lyapunov function method combined with the Projection lemma and Finsler's lemma, the resulting closed-loop system is stable and has a desire H performance level γ under static and dynamic H output feedback, respectively. Both these controllers are solved from strict linear matrix inequalities, which does not decompose Lyapunov matrix and its inverse matrix while a state-coordinate transformation is not required. The validity and advantage of the proposed method are illustrated using an example.

机译：研究了一种连续时间切换线性系统H输出反馈控制的新方法。基于多重Lyapunov函数方法并结合Projection引理和Finsler引理，所得的闭环系统是稳定的，并且在静态和动态H输出反馈下分别具有期望的H性能等级γ。这两个控制器均由严格的线性矩阵不等式解决，该线性不等式不会分解Lyapunov矩阵及其逆矩阵，而无需状态坐标变换。举例说明了该方法的有效性和优势。

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来源
《2014 International Conference on Mechatronics and Control》|2014年|1508-1511|共4页
会议地点 Jinzhou(CN)
作者
Shuhui Shi;
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作者单位

Shenyang Inst. of Eng., Shenyang, China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
H; control; continuous-time switched linear systems; linear matrix inequality(LMI); output feedback;

机译：H;控制;连续时间切换线性系统;线性矩阵不等式;输出反馈;

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1. H 2 and H ∞ dynamic output feedback control of continuous-time Markov systems with uncertain rates using LMIs * * Supported by the Brazilian agencies CAPES, CNPq, and FAPESP (Proc. 2014/22881-1) [J] . Cecília F. Morais, Márcio F. Braga, Ricardo C.L.F. Oliveira, IFAC PapersOnLine . 2017,第1期

机译：H 2 和H ∞具有不确定率的连续时间Markov系统的动态输出反馈控制使用LMI * < ce：label> * 由巴西CAPES，CNPq和FAPESP机构支持（Proc。2014 / 22881-1）
2. H 2 and H ∞ dynamic output feedback control of continuous-time Markov systems with uncertain rates using LMIs * * Supported by the Brazilian agencies CAPES, CNPq, and FAPESP (Proc. 2014/22881-1) [J] . Cecília F. Morais, Márcio F. Braga, Ricardo C.L.F. Oliveira, IFAC PapersOnLine . 2017,第1期

机译：H 2 和H ∞具有不确定率的连续时间Markov系统的动态输出反馈控制使用LMI * < ce：label> * 由巴西CAPES，CNPq和FAPESP机构支持（Proc。2014 / 22881-1）
3. H ∞ and H 2 memory static output-feedback control design for uncertain discrete-time linear systems ? [J] . Luciano Frezzatto, Ricardo C.L.F. Oliveira, Pedro L.D. Peres IFAC PapersOnLine . 2018,第25期

机译： H ∞和 H 2 不确定离散时间线性系统的存储器静态输出反馈控制设计？
4. H∞ output feedback stabilization for continuous-time switched linear systems [C] . Shuhui Shi International Conference on Mechatronics and Control . 2014

机译：H ∞连续时间切换线性系统的输出反馈稳定
5. Switching Stabilization of Continuous-Time Switched Systems. [D] . Lu, Yueyun. 2016

机译：连续时间交换系统的交换稳定性。
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. Robust observer-based H∞ stabilization of switched discrete-time linear systems with parameter uncertainties [O] . H. Bibi, A. Zemouche, A. Aitouche, 2017

机译：基于强大的观察者的H ∞具有参数不确定性的开关离散时间线性系统的稳定化
8. Innovative Approach for Controlling Hysteretic Structures Using Static Output Feedback H(inf) Algorithm and Stochastic Linearization Techniques [R] . Sadek, F., Ftima, M. B., El-Borgi, S., 2002

机译：利用静态输出反馈H（inf）算法和随机线性化技术控制滞回结构的创新方法

H∞ output feedback stabilization for continuous-time switched linear systems

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