Synthesis of a Digital Output Controller for a Switched Interval Linear System

Abstract

We solve the problem of constructing a digital controller that stabilizes a continuous-time switched system whose operating modes are interval linear systems. The proposed stabilization approach includes constructing a continuous-time/discrete-time closed-loop system with a digital controller, passing to its discrete-time model, constructing, for a finite family of interval discrete-time systems (discrete-time model modes), a controller that stabilizes each of the systems, and subsequent estimation of the delay time that ensures stabilization of the original switched interval system by this controller.