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不确定时滞系统的无源控制

Passive Control for Singular Systems with Time-Delays and Paramatric Uncertainties
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摘要 探讨了一类不确定时滞系统的无源控制问题,设计了1个线性状态控制器,使得对于所有可容许的参数不确定性和时间滞后,系统是鲁棒稳定及严格无源的,且时变不确定参数是范数有界的.利用线性矩阵不等式和李雅普诺夫函数方法,得到了不确定线性时滞系统状态控制器存在的充分条件.最后,通过数值例子说明了提出方法的有效性及实用性. The paper addresses the problem of robust passive control of a class of uncertain systems with time-delay. The problem aims at designing a linear state controller such that, for all admissible parameter uncertainties and time-delays, the controller remains robustly stable and passive. The parameter uncertainties are allowed to be norm-bounded in the paper. Based on a linear matrix inequality (LMI) and Lyapunov function, the conditions for the existence of the desired robust passive controller is derived. In the end, a numerical example demonstrates the validity and applicability of the present approach.
作者 杨剑 崔宝同
出处 《江南大学学报(自然科学版)》 CAS 2008年第4期379-381,共3页 Joural of Jiangnan University (Natural Science Edition) 
基金 国家自然科学基金项目(60574051) 教育部科学技术研究基金项目(107058)
关键词 不确定系统 时滞 二次稳定 无源控制 线性矩阵不等式 uncertain system time-delays quadratically stable passive control LMI
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