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Robust stabilization of cascaded nonlinear systems with gain bounded uncertainty
Author(s) -
Ochi Kazuo,
Shen Tielong,
Tamura Katsutoshi
Publication year - 2000
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/1520-6416(20010130)134:2<29::aid-eej4>3.0.co;2-e
Subject(s) - nonlinear system , control theory (sociology) , bounded function , lyapunov function , robust control , function (biology) , mathematics , robustness (evolution) , nonlinear control , computer science , control (management) , physics , mathematical analysis , biochemistry , chemistry , quantum mechanics , artificial intelligence , gene , evolutionary biology , biology
In this paper, we solve a robust stabilization problem for cascaded nonlinear systems with uncertainty using an integral forwarding method. It is assumed that the uncertainty is expressed by a gain bounded unknown nonlinear function. First, under suitable assumptions, a storage function which renders the cascaded nonlinear system robust passive is constructed. Next, it is shown that the storage function plays the role of a Lyapunov function with which the nonlinear system can be made globally robust stabilized by output feedback control. © 2000 Scripta Technica, Electr Eng Jpn, 134(2): 29–35, 2001