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Predictor Feedback for Uncertain Linear Systems With Distributed Input Delays

Yang Zhu, Miroslav Krstić, Hongye Su

2020IEEE Transactions on Automatic Control29 citationsDOI

Abstract

While the existing literature on delay-adaptive control concentrates on uncertain plants with discrete input delays, this article proposes a predictor feedback for stabilization of uncertain linear systems with distributed input delays. A finite-dimensional linear system with distributed actuator delay may come with five types of uncertainties: unknown delay, unknown delay kernel, unknown plant parameters, unmeasurable finite-dimensional plant state, and unmeasurable infinite-dimensional actuator state. For different combinations of uncertainties, distinct control designs are developed in the article, from which the users can make selections to address a vast range of problems they face.

Topics & Concepts

Control theory (sociology)ActuatorLinear systemComputer scienceState (computer science)Range (aeronautics)Distributed parameter systemAdaptive controlFull state feedbackControl (management)Control engineeringEngineeringMathematicsAlgorithmPartial differential equationAerospace engineeringArtificial intelligenceMathematical analysisStability and Control of Uncertain SystemsStability and Controllability of Differential EquationsAdaptive Control of Nonlinear Systems
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