Dynamic predictor-based controls: a time-domain stability analysis

Abstract

In this publication, we test the stability of a linear system with state and input delays in the case where the input is a dynamic predictor control law. To achieve this, we present a method to construct the delay Lyapunov matrix of the system, and we use the recent stability criteria in the time domain as a test. Taking advantage of the approach, we carry out a sigma-stability analysis, having in mind to find the maximum exponential decay of the system. An illustrative example is presented.