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Dual high‐gain‐based adaptive output‐feedback control for a class of nonlinear systems
Author(s) -
Krishnamurthy P.,
Khorrami F.
Publication year - 2008
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.957
Subject(s) - control theory (sociology) , nonlinear system , scaling , robustness (evolution) , benchmark (surveying) , observer (physics) , controller (irrigation) , adaptive control , computer science , nonlinear control , mathematics , control (management) , artificial intelligence , biochemistry , chemistry , physics , geometry , geodesy , quantum mechanics , biology , agronomy , gene , geography
We propose an adaptive output‐feedback controller for a general class of nonlinear triangular (strict‐feedback‐like) systems. The design is based on our recent results on a new high‐gain control design approach utilizing a dual high‐gain observer and controller architecture with a dynamic scaling. The technique provides strong robustness properties and allows the system class to contain unknown functions dependent on all states and involving unknown parameters (with no magnitude bounds required). Unlike our earlier result on this problem where a time‐varying design of the high‐gain scaling parameter was utilized, the technique proposed here achieves an autonomous dynamic controller by introducing a novel design of the observer, the scaling parameter, and theadaptation parameter. This provides a time‐invariant dynamic output‐feedback globally asymptotically stabilizing solution for the benchmark open problem proposed in our earlier work with no magnitude bounds or sign information on the unknown parameter being necessary. Copyright © 2007 John Wiley & Sons, Ltd.