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Reduced‐order impulsive control for a class of nonlinear systems
Author(s) -
Wang YanWu,
Wen Changyun,
Soh Yeng Chai,
Xiao JiangWen
Publication year - 2009
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1478
Subject(s) - control theory (sociology) , nonlinear system , class (philosophy) , chen , computer science , lorenz system , chaotic , scheme (mathematics) , control (management) , state (computer science) , order (exchange) , control system , control engineering , mathematics , engineering , algorithm , artificial intelligence , economics , paleontology , mathematical analysis , physics , quantum mechanics , electrical engineering , biology , finance
Abstract Impulsive control of nonlinear systems is an attractive topic and a number of interesting results have been obtained in the recent years. However, most of the available results need to employ full information of the system states to achieve the desired objectives. In this paper, a reduced‐order impulsive control strategy that needs only part of state components is studied for a general class of nonlinear system, which is feasible for the case when some of the system states are not available or controllable. Typical chaotic systems, such as Lorenz system, Chua's oscillator, and Chen's system, are taken as examples. A systematic design scheme is proposed to select the impulsive intervals. After some theoretical analysis, simulation results illustrate the effectiveness of the proposed control scheme. Copyright © 2009 John Wiley & Sons, Ltd.