Abstract

In this work, we consider a dual-rate scenario with slow input and fast output. Our objective is the maximization of the decay rate of the system through the suitable choice of the n-input signals between two measures (periodic sampling) and their times of application. The optimization algorithm is extended for time-varying delays in order to make possible its implementation in networked control systems. We provide experimental results in an air levitation system to verify the validity of the algorithm in a real plant.

Highlights

  • This paper is defined in the context of multi-rate systems

  • We propose an optimization algorithm which provides the input signals and their times of application, and maximizes the decay rate of the system

  • We propose an optimization algorithm for a multi-rate input control system

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Summary

Introduction

This paper is defined in the context of multi-rate systems. We consider a dual-rate system, where the output of the system is sampled with sampling period Ts but the input is applied to the system in a faster way. If the controller transmits n input signals, these signals are applied during Ts /n units of time (see [1,2] and references therein). The times of application of the input signals might be irregular [3,4,5] but there are no criteria in the literature to decide this irregularity. We propose an optimization algorithm which provides the input signals and their times of application, and maximizes the decay rate of the system

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