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Delay-adaptive feedback for linear feedforward systems

Authors
Journal
Systems & Control Letters
0167-6911
Publisher
Elsevier
Publication Date
Volume
59
Issue
5
Identifiers
DOI: 10.1016/j.sysconle.2010.03.001
Keywords
  • Delays Systems
  • Adaptive Control
  • Feedforward Systems
Disciplines
  • Design

Abstract

Abstract Predictor techniques are an indispensable part of the control design toolbox for plants with input and state delays of significant size. Yet, they suffer from sensitivity to the design values. Explicit feedback laws were recently introduced by Jankovic for a class of feedforward linear systems with simultaneous state and input delays. For the case where the delays are of unknown length, using the certainty equivalence principle, we design a Lyapunov-based adaptive controller, which achieves global stability and regulation, for arbitrary initial estimates for the delays. We consider a two-block sub-class of linear feedforward systems. A generalization to the n -block case involves a recursive application of the same techniques.

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