单边Lipschitz的中立型Lur’e系统的H∞观测器设计  

H∞ observer design for one-sided Lipschitz neutral-type Lur’e system

作　　者：杨亚伟 黎婕 林崇[1] YANG Yawei;LI Jie;LIN Chong(School of Automation,Qingdao University,Qingdao Shandong 266071,China)

机构地区：[1]青岛大学自动化学院,山东青岛266071

出　　处：《自动化与仪器仪表》2020年第8期4-9,共6页Automation & Instrumentation

基　　金：国家自然科学基金(No.61673227、61873137);山东省泰山学者建设项目。

摘　　要：针对满足二次内有界准则和单边Lipschitz条件的中立型时变时滞Lur’e系统,通过选取合适的Lyapunov泛函,采用Wirtinger型不等式及放松的不等式,获得一种H∞观测器的设计方法。该设计方法基于线性矩阵不等式,综合考虑多重因素,具有广泛适用性,采用放松的积分不等式,获得具有较小保守性的结果。通过仿真实例验证,该设计能够有效地观测系统状态。For the neutral time-varying time-delay Lur’e system that meets the quadratic internal bounded criterion and the unilateral Lipschitz condition.By choosing the appropriate Lyapunov functional,using Wirtinger-based inequality and relaxed integral inequality,the H∞ observer is designed.The design method is based on linear matrix inequality,considering multiple factors comprehensively,and has wide applicability.Use the relaxed integral inequality to obtain less conservative results.The simulation example verifies that the design can effectively observe the state of the system.

关 键 词：H∞观测器 Lur’e系统 单边Lipschitz 时变时滞 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]