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

中文关键词  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

英文关键词  networked control systems (NCSs)  time-varying sampling periods  packet dropouts  strictly dissipative control  parameter uncertainty

中文摘要

      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.

英文摘要

      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 sufficient 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.