Global Robust Stabilization Control for Nonlinear Time-Delay Systems with Dead-Zone Input and Complex Dynamics

Global Robust Stabilization Control for Nonlinear Time-Delay Systems with Dead-Zone Input and Complex Dynamics

This article investigates the robust stabilization problem for nonlinear time-delay systems with dead-zone input and complex dynamics. By flexibly using the inequality technique, the backstepping control method, and skillfully introducing a new Lyapunov–Krasovskii functional, we obtain a stable cont...

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Main Authors: Lingrong Xue, Zhen-Guo Liu, Junjun Chen, Fujing Xu
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/1672595
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spelling doaj-50e25175b9f54fd4b4202a815c7109f92020-11-25T03:54:21ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/16725951672595Global Robust Stabilization Control for Nonlinear Time-Delay Systems with Dead-Zone Input and Complex DynamicsLingrong Xue0Zhen-Guo Liu1Junjun Chen2Fujing Xu3School of Information Management, Shanxi University of Finance and Economics, Taiyuan 030006, ChinaDepartment of Automation, Shanxi University, Taiyuan 030006, ChinaDepartment of Automation, Shanxi University, Taiyuan 030006, ChinaDepartment of Automation, Shanxi University, Taiyuan 030006, ChinaThis article investigates the robust stabilization problem for nonlinear time-delay systems with dead-zone input and complex dynamics. By flexibly using the inequality technique, the backstepping control method, and skillfully introducing a new Lyapunov–Krasovskii functional, we obtain a stable controller without using unmeasurable signals in the dynamic subsystem. The control system is guaranteed to be stable finally. Two simulation examples are given to verify the control strategy.http://dx.doi.org/10.1155/2020/1672595
collection DOAJ
language English
format Article
sources DOAJ
author Lingrong Xue
Zhen-Guo Liu
Junjun Chen
Fujing Xu
spellingShingle Lingrong Xue
Zhen-Guo Liu
Junjun Chen
Fujing Xu
Global Robust Stabilization Control for Nonlinear Time-Delay Systems with Dead-Zone Input and Complex Dynamics
Mathematical Problems in Engineering
author_facet Lingrong Xue
Zhen-Guo Liu
Junjun Chen
Fujing Xu
author_sort Lingrong Xue
title Global Robust Stabilization Control for Nonlinear Time-Delay Systems with Dead-Zone Input and Complex Dynamics
title_short Global Robust Stabilization Control for Nonlinear Time-Delay Systems with Dead-Zone Input and Complex Dynamics
title_full Global Robust Stabilization Control for Nonlinear Time-Delay Systems with Dead-Zone Input and Complex Dynamics
title_fullStr Global Robust Stabilization Control for Nonlinear Time-Delay Systems with Dead-Zone Input and Complex Dynamics
title_full_unstemmed Global Robust Stabilization Control for Nonlinear Time-Delay Systems with Dead-Zone Input and Complex Dynamics
title_sort global robust stabilization control for nonlinear time-delay systems with dead-zone input and complex dynamics
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description This article investigates the robust stabilization problem for nonlinear time-delay systems with dead-zone input and complex dynamics. By flexibly using the inequality technique, the backstepping control method, and skillfully introducing a new Lyapunov–Krasovskii functional, we obtain a stable controller without using unmeasurable signals in the dynamic subsystem. The control system is guaranteed to be stable finally. Two simulation examples are given to verify the control strategy.
url http://dx.doi.org/10.1155/2020/1672595
work_keys_str_mv AT lingrongxue globalrobuststabilizationcontrolfornonlineartimedelaysystemswithdeadzoneinputandcomplexdynamics
AT zhenguoliu globalrobuststabilizationcontrolfornonlineartimedelaysystemswithdeadzoneinputandcomplexdynamics
AT junjunchen globalrobuststabilizationcontrolfornonlineartimedelaysystemswithdeadzoneinputandcomplexdynamics
AT fujingxu globalrobuststabilizationcontrolfornonlineartimedelaysystemswithdeadzoneinputandcomplexdynamics
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