Chapter 2 - D-step state-delay identification

Abstract

This chapter first considers the modeling and identification problems for linear systems based on canonical state-space models with d-step state delay. A recursive least squares parameter identification algorithm is presented. Second, it presents an integrated procedure for the identification and control of dual-rate state-space models with d-step state delay. Third, it proposes the methods of parameter estimation and state estimation to calculate state-space systems with delay. Finally, because of the speed constraints of sensors and actuators, the input update rate and output sampling rate are often limited. We give a lifted state-space model with time delay to map the relationship between known input–output data for dual-rate systems with different updating and sampling periods. For the given dual-rate input–output data, a model identification algorithm combining parameter estimation and state estimation is proposed and takes into account the causality constraints of the lifted systems.