Periodic Switched Control of Dual-Rate Sampled-Data Systems

Abstract EN

This paper is concerned with the periodic switched control of a linear dual-rate sampled-data system.

The statevariables of the continuous-time plant are sampled by two types of sensors.

The ratio of two sampling rates is assumedto be a rational number.

Depending on whether the sampled-data of state variables at two sampling rates is availablesimultaneously or separately, a periodic switched controller is constructed.

Applying an input delay approach, theclosed-loop system is modeled as a switched system with subsystems having different input delays.

Some delay-dependentcriteria for the H∞ performance of the switched system and the existence of the switched controller arederived by employing a Lyapunov-Krasovskii functional that includes information about two sampling periods.

Thedual-rate sampled-data control of a vehicle dynamic system is given to show that the proposed method is effective andit can achieve a better H∞ control performance than the single-rate design method.