Output control approach &amp;#x201C;consecutive compensator&amp;#x201D; providing exponential and L&lt;inf&gt;&amp;#x221E;&lt;/inf&gt;-stability for nonlinear systems with delay and disturbance

Anton A Pyrkin,Sergey V Shavetov,Maxim V Faronov,Alexander A Kapitonov,Sergey A Kolyubin,Yuriy A Kapitanyuk,Alexey A Bobtsov

doi:10.1109/cca.2011.6044373

Output control approach &#x201C;consecutive compensator&#x201D; providing exponential and L<inf>&#x221E;</inf>-stability for nonlinear systems with delay and disturbance

Anton A Pyrkin, Sergey V Shavetov + Show 5 more

https://doi.org/10.1109/cca.2011.6044373

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Publication Date: Sep 1, 2011

Citations: 19

Affiliation: Saint-Petersburg State University Information Technologies, Mechanic and Optics, ITMO University, Institute of Problems of Mechanical Engineering

#Consecutive Compensator #Stability For Nonlinear Systems + Show 8 more

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Abstract

This paper deals with the output stabilization of time-delay systems with sector-bounded nonlinearity and disturbance. In this paper we will consider the problem of absolute stability for a class of time-delay systems which can be represented as a feedback connection of a linear dynamical system with unknown parameters and a uncertain nonlinearity satisfying a sector constraint. For a class of output control algorithms a controller providing exponential stability of equilibrium position without disturbance and L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> -stability for disturbed systems is proposed.

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