Finite time control for one class of nonlinear systems with the H performance criterion

Control in Stochastic Systems and Under Uncertainty Conditions
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Abstract

This work considers nonautonomous control systems with uncertain nonlinearities subjected to the impact of external disturbances which are continuous functions bounded by the L 2-norm. Based on the method of matrix comparison systems and technique of differential linear matrix inequalities, it is proposed to solve problems of finite time stability and boundedness with respect to the given sets, as well as suppress the disturbances and initial deviations using the state feedback with an estimation of the performance by the H -criterion.

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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Kazan National Research Technical University Named after A.N. Tupolev, Institute of Mechanics and Engineering, Kazan Science CenterRussian Academy of SciencesKazan, TatarstanRussia

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