Adaptive Optimal Output Regulation of Discrete-Time Linear Systems Subject to Input Time-Delay

Document Type

Conference Proceeding

Publication Date

2018

Publication Title

Proceedings of the American Control Conference

DOI

10.23919/ACC.2018.8431175

ISBN

978-1-5386-5428-6

ISSN

2378-5861

Abstract

This paper addresses the adaptive optimal output regulation problem of discrete-time linear systems with input time-delay. The state is reconstructed by retrospective input and measurement output. Based on value iteration and adaptive dynamic programming, an approximate optimal controller is learned by online input and output data. Notably, the exact knowledge of the plant and the exosystem is not needed, and the a priori knowledge of an initial admissible control policy is no longer required. Theoretical analysis and an application to a grid-connected inverter show that the proposed data-driven methodology serves as an effective tool for solving adaptive optimal output regulation problems.

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