Stabilization of multiple-input switched linear systems by a variable-structure controller


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Abstract

We consider the stabilization problem for multiple-input switched linear systems operating under bounded coordinate disturbances and arbitrary switching signals. To solve this problem, we suggest an algorithm for the construction of a variable-structure controller based on methods of simultaneous stabilization theory.

About the authors

A. S. Fursov

Department of Mathematics, School of Science; Lomonosov Moscow State University; Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences; Kharkevich Institute for Information Transmission Problems of the Russian Academy of Sciences; Bauman Moscow State Technical University

Author for correspondence.
Email: fursov@cs.msu.su
China, Hangzhou, 310018; Moscow, 119991; Moscow, 117997; Moscow, 127051; Moscow, 105005

I. V. Kapalin

Lomonosov Moscow State University; National University of Science and Technology “MISIS,”

Email: fursov@cs.msu.su
Russian Federation, Moscow, 119991; Moscow, 119049

H. Hongxiang

Department of Mathematics, School of Science

Email: fursov@cs.msu.su
China, Hangzhou, 310018

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