摘要
研究一类网络控制系统(NCS)的L1控制问题。针对一类具有时延和丢包的网络控制系统,将其建模为线性时变时延系统,利用Lyapunov稳定性理论和线性矩阵不等式方法建立具有鲁棒L1性能约束的状态反馈控制器。首先给出闭环系统渐近稳定且具有峰-峰值性能约束的充分条件,然后给出网络控制系统状态反馈控制器L1控制率的设计方法,最后利用LMI工具箱求解控制器参数。数值算例结果证明了该方法的可行性。
This paper is concerned with the robust L1 control problem for a class of linear networked control systems（NCS）.The NCS with communication delays and packets dropouts is modeled as a linear time-varying delay system,methods of Lyapunov theory and LMI are applied to design a state feedback controller with robust L1 constraint.Firstly,the sufficient condition is given for ensure the closed-loop system asymptotically stable with constraint of peak-peak performance,and then the design method of NSC state feedback with L1 control law is obtained.Finally,the controller parameter is calculated by LMI tool-box.Numerical examples demonstrate the validity of the proposed approach.
出处
《计算技术与自动化》
2011年第3期6-10,共5页
Computing Technology and Automation
基金
黑龙江省自然科学基金资助(F12511002)
