Observer-based Dynamic Local Piecewise Control of a Linear Parabolic PDE System with Non-collocated Pointwise Measurements

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• 英文论文题名：Observer-based Dynamic Local Piecewise Control of a Linear Parabolic PDE System with Non-collocated Pointwise Measurements
• 论文作者：Ya-Qiang Liu ; Jun-Wei Wang ; Chang-Yin Sun
• 英文论文作者：Ya-Qiang Liu ; Jun-Wei Wang ; Chang-Yin Sun ; School of Automation and Electrical Engineering ; University of Science and Technology Beijing
• 年：2017
• 作者机构：School of Automation and Electrical Engineering,University of Science and Technology Beijing;
• 英文论文关键词：Distributed parameter systems ; Piecewise control ; Pointwise measurement ; Lyapunov direct method ; Observerbased feedback control
• 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（A）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
• 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：347k
• 原文格式：D
• 会议级别：全国

摘要

This paper presents an observer-based dynamic feedback control design for a linear parabolic partial differential equation(PDE) system, where a finite number of actuators and sensors are active over part thereof and at specified points in the spatial domain, respectively. In the proposed design method, a Luenberger-type PDE observer is first constructed by using the non-collocated pointwise measurements to exponentially tract the state of the PDE system. Based on the estimated state,a collocated local piecewise state feedback controller is then proposed. By employing Lyapunov direct method, integration by parts, Wirtinger's inequality and first mean value theorem for integrals, a sufficient condition on exponential stability of the resulting closed-loop system is presented in term of standard linear matrix inequalities(LMIs). Numerical simulation results are presented to show the effectiveness of the proposed design method.
This paper presents an observer-based dynamic feedback control design for a linear parabolic partial differential equation(PDE) system, where a finite number of actuators and sensors are active over part thereof and at specified points in the spatial domain, respectively. In the proposed design method, a Luenberger-type PDE observer is first constructed by using the non-collocated pointwise measurements to exponentially tract the state of the PDE system. Based on the estimated state,a collocated local piecewise state feedback controller is then proposed. By employing Lyapunov direct method, integration by parts, Wirtinger's inequality and first mean value theorem for integrals, a sufficient condition on exponential stability of the resulting closed-loop system is presented in term of standard linear matrix inequalities(LMIs). Numerical simulation results are presented to show the effectiveness of the proposed design method.

引文

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