Stabilization of Multiple-Input Switched Linear Systems with Operation Modes of Different Dynamical Orders


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Abstract

The problem of stabilization of multiple-input switched linear systems operating under the conditions of bounded coordinate disturbances is considered. It is assumed that the operation modes can have different dynamical orders. To solve this problem, an algorithm for constructing a variable-structure controller is proposed based on the dynamical order extension method.

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; Bauman Moscow State Technical University; Kharkevich Institute for Information Transmission Problems of the Russian Academy of Sciences

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

S. V. Emel’yanov

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

Email: fursov@cs.msu.ru
Russian Federation, Moscow, 119991; Moscow, 117997; Moscow, 127051

I. V. Kapalin

Department of Mathematics, School of Science; National University of Science and Technology MISIS

Email: fursov@cs.msu.ru
China, Hangzhou, 310018; Moscow, 119049

E. S. Sagadinova

Lomonosov Moscow State University

Email: fursov@cs.msu.ru
Russian Federation, Moscow, 119991

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