Analysis and synthesis of control systems

Robust control of linear systems with switching

A. M. Tsykunov

Astrakhan State Technical University

Abstract: The problem is investigated of robust control of linear systems with switching. It is noted that the aim is to design a control system providing the specified error of reference signal tracking for the arbitrary parameters from the class of possible values. Pointed out is that only scalar inputs and outputs of the system are accessible for measuring, while each subsystem is subjected to unmeasured limited disturbances. The algorithm is proposed that guarantees the required accuracy of reference signal tracking. The obtained results are illustrated by an example: the reference signal tracking in a system consisting of three subsystems.

Keywords: switched systems, robust control, lyapunov function, reference signal.

UDC: 519.7