Robust H ∞ control of uncertain nonlinear dynamical systems via linear time-varying approximations

In this paper, a novel mathematical technique is given for treating nonlinear systems in the presence of unstructured disturbances. A result is presented which guarantees asymptotic robust stabilization of the feedback system. The H ∞ feedback control law is obtained via direct application of the “I...

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Bibliographic Details
Published inNonlinear analysis Vol. 63; no. 5; pp. e2315 - e2327
Main Authors Fahmy, S.F.F., Banks, S.P.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 30.11.2005
Subjects
[formula omitted] control
Affine
Disturbance
Feedback control
Nonlinear control systems
Riccati equations
Robust stability
State-space
Time varying plants
Uncertainty
Uncertainty
H ∞ control
Robust stability
Riccati equations
State-space
Affine
Disturbance
Nonlinear control systems
Feedback control
Time varying plants
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Summary:In this paper, a novel mathematical technique is given for treating nonlinear systems in the presence of unstructured disturbances. A result is presented which guarantees asymptotic robust stabilization of the feedback system. The H ∞ feedback control law is obtained via direct application of the “Iteration Technique” that was considered for nonlinear optimal control by Banks and Dinesh (Ann. Oper. Res. 98(7) (2000) 19–44).
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2005.03.030