具有时变采样周期网络控制系统的严格耗散控制(英文)  

Strictly dissipative control for networked control systems with time-varying sampling periods

作　　者：李媛[1,2] 张庆灵[1] 邱占芝[3] 蔡敏[3] 

机构地区：[1]东北大学系统科学研究所,辽宁沈阳110819 [2]沈阳工业大学理学院,辽宁沈阳110870 [3]大连交通大学理学院,辽宁大连116028

出　　处：《控制理论与应用》2013年第9期1170-1177,共8页Control Theory & Applications

基　　金：supported by the National Natural Science Foundation of China(Nos.61074029,61104093,61273008)

摘　　要：研究具有时变采样周期和数据丢包的网络控制系统的渐近稳定和严格耗散控制问题.针对采样周期时变且在标称周期上下波动,数据丢包数有界,利用参数不确定的方法,网络控制系统建模为一类带有参数不确定的离散时滞系统.构造一个改进的李雅普诺夫–卡拉索夫斯基函数,基于线性矩阵不等式方法及Jensen不等式方法,给出系统严格(Q,S,R)–耗散的充分条件,得到控制器的设计方法.数值实例表明所提出的方法具有较小的保守性,同时也减少了计算量.This paper studies the asymptotic stability and strictly dissipative control problems for networked control systems （NCSs） with time-varying sampling periods and packet dropouts. The sampling period is time-varying and fluctuates across the nominal period. The packet dropouts vary in a bounded interval. The NCSs are modeled as a class of discretetime system with parametrical uncertainties by the parameter uncertainty method. An improved Lyapunov-Krasovskii function is constructed. On the basis of LMIs formulation and the discrete Jensen inequality, we derive some new suffi- ciem conditions for strict （Q, S, R）-dissipativity, and present the controller design methods. The numerical example shows that the design method is less conservative and with reduced computational complexity in comparison with conventional methods.

关 键 词：网络控制系统 时变采样周期 数据丢包 严格耗散控制 参数不确定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]