NDLI: Nonlinear $H_{∞}$ control of switched homogeneous nonlinear systems

Content Provider	IEEE Xplore Digital Library
Author	Lijun, Zhang Suqin, Xue
Copyright Year	2007
Description	Author affiliation: School of Automation, Harbin Engineering University, Harbin, P. R. China. E-mail: zhanglj@hrbeu.edu.cn (Lijun, Zhang) \|\| Center of Computer, Yan'an University, ShanXi Province, P. R. China (Suqin, Xue)
Abstract	In this paper, the problem of $L_{2}$ stability and $H_{∞}$ control of switched homogenous systems is addressed. Based on the homogenous properties of the systems, the considered systems are limited to a unit sphere for investigation. First of all, the problem of $L_{2}$ stability of the switched homogeneous systems is discussed via a designed switching law under the absence of control items, it is shown that, similar to linear case, the stability of normal systems implies to $L_{2}$ stability under a given switching law. Then $H_{∞}$ control problem of switched homogeneous systems is investigated. Similar to Algebraic Riccati Inequality for $H_{∞}$ control of switched linear systems, a condition for global control laws to solve $H_{∞}$ control problem is obtained for the switched homogeneous nonlinear systems, which are preferable and easier verified compared to the existing results for switched nonlinear systems.
Starting Page	537
Ending Page	541
File Size	232110
Page Count	5
File Format	PDF
ISBN	9787811240559
DOI	10.1109/CHICC.2006.4347624
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-07-26
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Linear systems Automation Power system management Nonlinear control systems Power system stability Lyapunov method Control systems $L_{2}$ stability Switched systems Controllability Switched homogenous nonlinear systems $H_{∞}$ control Nonlinear systems
Content Type	Text
Resource Type	Article

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