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Dynamical Output Feedback Stabilization Of Mimo Bilinear Systems With Undamped Natural Response
Author(s) -
Lu Guoping,
Zheng Yufan,
Zhang Cishen
Publication year - 2003
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1111/j.1934-6093.2003.tb00116.x
Subject(s) - control theory (sociology) , lemma (botany) , exponential stability , mathematics , bilinear interpolation , bounded function , lyapunov function , full state feedback , lyapunov stability , stability (learning theory) , mimo , output feedback , control (management) , nonlinear system , computer science , mathematical analysis , physics , beamforming , ecology , statistics , poaceae , quantum mechanics , artificial intelligence , machine learning , biology
This paper considers the globally asymptotic stabilization problem of multi‐input multi‐output bilinear systems with undamped natural response. Under the conditions for asymptotic stabilization by static state feedback control and system detectability, two output dynamic feedback controllers with saturation bounded control are constructed. The global asymptotic stability of the closed‐loop system is verified by Lyapunov stability theory and LaSalle's Lemma. An example is given to demonstrate the obtained results.