Truncated predictor control of Lipschitz nonlinear systems with time-varying input delay

Z. Zuo; Z. Lin; Zhengtao Ding

doi:10.1109/TAC.2016.2635021

Truncated predictor control of Lipschitz nonlinear systems with time-varying input delay

Z. Zuo, Z. Lin, Zhengtao Ding

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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	IEEE-TAC 16-1228
Journal	IEEE Transactions on Automatic Control
Volume	62
Issue number	10
DOIs	https://doi.org/10.1109/TAC.2016.2635021
Publication status	Published - 1 Dec 2016

Keywords

Lipschitz nonlinearity, Time-varying delay, Truncated prediction

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10.1109/TAC.2016.2635021

2016TACbPreprintAccepted author manuscript, 113 KBLicence: Other

Cite this

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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.",

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N2 - 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.

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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Truncated predictor control of Lipschitz nonlinear systems with time-varying input delay

Abstract

Keywords

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