Adaptive Stabilization Control for Stochastic Nonlinear Systems with Time-varying Delay

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• 英文论文题名：Adaptive Stabilization Control for Stochastic Nonlinear Systems with Time-varying Delay
• 论文作者：Lingrong Xue ; Tianliang Zhang ; Weihai Zhang ; Xuejun Xie
• 英文论文作者：Lingrong Xue ; Tianliang Zhang ; Weihai Zhang ; Xuejun Xie ; College of Electrical Engineering and Automation ; Shandong University of Science and Technology ; College of Information and Control Engineering ; China University of Petroleum (East China) ; Institute of Automation ; Qufu Normal University
• 年：2017
• 作者机构：College of Electrical Engineering and Automation,Shandong University of Science and Technology;College of Information and Control Engineering,China University of Petroleum (East China);Institute of Automation,Qufu Normal University;
• 英文论文关键词：Stochastic nonlinear system ; Time-varying delay ; Adaptive stabilization and Lyapunov-Krasoviskii functional
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（B）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
• 语种：英文
• 分类号：O231
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：6
• 文件大小：200k
• 原文格式：D
• 会议级别：全国

摘要

This paper is concerned with the adaptive stabilization problem of high-order stochastic nonlinear systems with timevarying delay. Indeed, there exist lots of deterministic results for the system without uncertainty and time delay. However,owing to the existence of time varying delay, unknown parameters and the relaxed nonlinear terms, it is not easy to choose an appropriate Lyapunov-Krasoviskii(L-K) functionals for control design. Via the modified method of adding a power integrator,an adaptive stabilization controller is constructed, which guarantees that the closed-loop system is globally asymptotically stable in probability. The effectiveness of the proposed approach is validated by a simulation example.
This paper is concerned with the adaptive stabilization problem of high-order stochastic nonlinear systems with timevarying delay. Indeed, there exist lots of deterministic results for the system without uncertainty and time delay. However,owing to the existence of time varying delay, unknown parameters and the relaxed nonlinear terms, it is not easy to choose an appropriate Lyapunov-Krasoviskii(L-K) functionals for control design. Via the modified method of adding a power integrator,an adaptive stabilization controller is constructed, which guarantees that the closed-loop system is globally asymptotically stable in probability. The effectiveness of the proposed approach is validated by a simulation example.

引文

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