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Mathematics of Control Signals and Systems
Article . 1997 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1997
Data sources: zbMATH Open
DBLP
Article . 1997
Data sources: DBLP
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Universal controllers for robust control problems

Authors: BATTILOTTI, Stefano;

Universal controllers for robust control problems

Abstract

The concept of a robust control Lyapunov function is defined for a class of uncertain single-input nonlinear systems. It is shown that if there exists a \(C^2\) robust control Lyapunov function, then a globally asymptotically stabilizing state-feedback control law can be constructed. A formula for this control law in terms of the nominal system data, the control Lyapunov function and the uncertainty bounds is given. The controller is continuously differentiable outside the origin \(0\), and under the extra assumption that the robust control Lyapunov function has the so-called ``small control property'', continuity at \(0\) is guaranteed.

Country
Italy
Related Organizations
Keywords

Adaptive or robust stabilization, Lyapunov and storage functions, Universal controllers; Robust stabilization; Disturbance attenuation, Stabilization of systems by feedback, Nonlinear systems in control theory, nonlinear control, robust control Lyapunov function, stabilization

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
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