Finite time control for one class of nonlinear systems with the H∞ performance criterion
- Authors: Malikov A.I.1
-
Affiliations:
- Kazan National Research Technical University Named after A.N. Tupolev, Institute of Mechanics and Engineering, Kazan Science Center
- Issue: Vol 56, No 3 (2017)
- Pages: 364-384
- Section: Control in Stochastic Systems and Under Uncertainty Conditions
- URL: https://journals.rcsi.science/1064-2307/article/view/219884
- DOI: https://doi.org/10.1134/S1064230717030121
- ID: 219884
Cite item
Abstract
This work considers nonautonomous control systems with uncertain nonlinearities subjected to the impact of external disturbances which are continuous functions bounded by the L2-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.
About the authors
A. I. Malikov
Kazan National Research Technical University Named after A.N. Tupolev, Institute of Mechanics and Engineering, Kazan Science Center
Author for correspondence.
Email: a_i_malikov@mail.ru
Russian Federation, Kazan, Tatarstan