Truncated Predictor Control of Lipschitz Nonlinear Systems with Time-Varying Input Delay

Zongyu Zuo; Zongli Lin; Zhengtao Ding

doi:10.1109/TAC.2016.2635021

Truncated Predictor Control of Lipschitz Nonlinear Systems with Time-Varying Input Delay

Zongyu Zuo
, Zongli Lin
, Zhengtao Ding

School of Automation Science and Electrical Engineering

University of Virginia
University of Manchester

Research output: Contribution to journal › Article › peer-review

54 Scopus citations

Abstract

This note deals with control design for Lipschitz nonlinear systems with time-varying input delay. Based on a truncated prediction of the system state over the delay period, both a state and an output feedback control law are constructed. Within the framework of Lyapunov-Krasovskii functionals, a set of conditions are identified under which the closed-loop system under either the state feedback or the output feedback law is globally asymptotically stable at the origin. A numerical example is included to demonstrate the effectiveness of the proposed designs.

Original language	English
Article number	7763774
Pages (from-to)	5324-5330
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	62
Issue number	10
DOIs	https://doi.org/10.1109/TAC.2016.2635021
State	Published - Oct 2017

Keywords

Lipschitz nonlinearity
time-varying delay
truncated prediction

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10.1109/TAC.2016.2635021

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title = "Truncated Predictor Control of Lipschitz Nonlinear Systems with Time-Varying Input Delay",

abstract = "This note deals with control design for Lipschitz nonlinear systems with time-varying input delay. Based on a truncated prediction of the system state over the delay period, both a state and an output feedback control law are constructed. Within the framework of Lyapunov-Krasovskii functionals, a set of conditions are identified under which the closed-loop system under either the state feedback or the output feedback law is globally asymptotically stable at the origin. A numerical example is included to demonstrate the effectiveness of the proposed designs.",

keywords = "Lipschitz nonlinearity, time-varying delay, truncated prediction",

author = "Zongyu Zuo and Zongli Lin and Zhengtao Ding",

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AB - This note deals with control design for Lipschitz nonlinear systems with time-varying input delay. Based on a truncated prediction of the system state over the delay period, both a state and an output feedback control law are constructed. Within the framework of Lyapunov-Krasovskii functionals, a set of conditions are identified under which the closed-loop system under either the state feedback or the output feedback law is globally asymptotically stable at the origin. A numerical example is included to demonstrate the effectiveness of the proposed designs.

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KW - time-varying delay

KW - truncated prediction

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ER -

Truncated Predictor Control of Lipschitz Nonlinear Systems with Time-Varying Input Delay

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Keywords

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