標題: Stabilization of nonlinear systems in compound critical cases
作者: Liaw, DC
Chen, CH
電控工程研究所
Institute of Electrical and Control Engineering
關鍵字: nonlinear systems;stabilization;center manifold reduction
公開日期: 15-八月-2002
摘要: In this paper, we study the stabilization of nonlinear systems in critical cases by using the center manifold reduction technique. Three degenerate cases are considered, wherein the linearized model of the system has two zero eigenvalues, one zero eigenvalue and a pair of nonzero pure imaginary eigenvalues, or two distinct pairs of nonzero pure imaginary eigenvalues; while the remaining eigenvalues are stable. Using a local nonlinear mapping (normal form reduction) and Liapunov stability criteria, one can obtain the stability conditions for the degenerate reduced models in terms of the original system dynamics. The stabilizing control laws, in linear and/or nonlinear feedback forms, are then designed for both linearly controllable and linearly uncontrollable cases. The normal form transformations obtained in this paper have been verified by using code MACSYMA. (C) 2002 Elsevier Science Inc. All rights reserved.
URI: http://dx.doi.org/10.1016/S0096-3003(01)00099-6
http://hdl.handle.net/11536/28585
ISSN: 0096-3003
DOI: 10.1016/S0096-3003(01)00099-6
期刊: APPLIED MATHEMATICS AND COMPUTATION
Volume: 130
Issue: 2-3
起始頁: 317
結束頁: 360
顯示於類別:期刊論文


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