含时延的网络控制系统的H_∞保性能控制器设计

Design of H_∞ Guaranteed Cost Controller for Networked Control Systems with Time Delay

本文综合考虑外界噪声输入和网络诱导时延的影响,研究了网络控制系统的H_∞保性能控制问题。基于网络传输环境,首先将含时变时延的网络控制系统建模成一类带有时变参数的闭环离散系统。接着,使用Lyapunov理论,推导了H_∞保性能指标存在的条件,并采用线性矩阵不等式(LMI)原理,提出了H_∞保性能控制器的设计方法。最后,通过仿真实验表明,该H_∞保性能控制器能有效地提高网络控制系统的鲁棒性,并能维持系统的保性能指标,从而证明了此方法的有效性和可行性。

Considering the influence of external noise input and network induced delay,the H∞guaranteed cost control of networked control systems is studied.Based on the network transmission environment,the networked control system with time-vary and delay is modeled as a kind of closed loop discrete system with time varying parameters.Then,using the Lyapunov theory,the conditions for the existence of guaranteed performance indexes of H ∞ are derived.Based on the principle of linear matrix inequality（LMI）,the design method of guaranteed cost controller H∞is proposed.Finally,the simulation results show that the guaranteed cost controller H ∞can effectively improve the robustness of the network control system,and can maintain the performance index of the system.The validity and feasibility of this method are then proved.