Research On H∞ Robust Control Of A Class Of Networked Control System

With the development of communication technology and the increasing demands of control systems, people become more interested in networked control systems. Networked control systems have lots of advantages compared to the traditional control systems, such as easy maintenance, low cost, resource sharing and so on. But due to the introduction of network, network bandwidth, network capacity and other limitations can impact on the stability and control performance of the NCS. It makes the analysis more complex. This paper mainly studied the stability analysis, non-fragile guaranteed cost H∞ control, robust H∞ filter design of NCS.1. The stability analysis and controller design of time-varying structured uncertainties NCS have been researched. By introducing zero-order hold(ZOH),the NCS with network-induced delay and packet loss can be modeled as time-varying delay system. The delay interval is divided, then construct Lyapunov-Krasovskii functional respectively. In the process of functional derivative, retain the derivative term and deal with it using the inequality. The stability analysis of NCS are studied. By employing the ICCL algorithm, the controller of NCS and MADB are obtained. The final numerical example shows the effectiveness of this method.2. The non-fragile guaranteed H∞ cost control of NCS is studied. For the NCS with gain parameter perturbations in the controller, a Lyapunov-Krasovskii functional is constructed by using the upper bound and the lower bound of the delay. By introducing the free-weighting matrix approach and using the convexity of function to transform the inequality, the system can reach robust stability and robust H∞performance. Based on the derived criteria, the non-fragile guaranteed H∞ cost controller is obtained. The final numerical example shows the effectiveness of this method.3. The robust H∞ filter design of NCS is studied. For the NCS with uncertain parameters, Lyapunov-Krasovskii functional and integral inequalities are employed to deal with the terms in the derivative of Lyapunov-Krasovskii functional. The robust H∞performance is researched. The robust H∞ filter method is obtained based on the H∞ performance analysis. The final numerical example shows the effectiveness of this method.