The Stabilization And L₂-/l_? Control Of The Network Control System With Packet Loss: The Method Of Switching The System

The networked control system is a control system consisting of sensors,controllers and actuators,which are distributed in the network space and connected through a certain digital communication network.Compared with the traditional point-to-point control system,the net-worked control system has the advantages of simple system wiring,information resource shar-ing,improved system diagnostic capability,easier installation and maintenance,and increased flexibility of the system,etc.However,due to the addition of the network,each node loses the data packet due to the failure of competing network resources.The loss of data packets will not only affect the performance of the system,even leading to the unstability of the system.In this paper,stabilization of networked control system under the missing of control input and l₂-l_?control of networked control systems with packet dropout are studied by using the switching idea.The main research work includes the following aspects:1.Stabilization of networked control system under the missing of control input.First,the sampling controller is designed to transform the networked control system in-to a sampled-data system that contains continuous and discrete state.Then,the sampled-data system is modeled as a switched time-delay system with stable subsystem and unstable subsys-tem based on whether the control input is lost and the digital control signal is converted into time-delay control.The Lyapunov-Krasovski functionals related to the system modes are de-signed,and by means of the Lyapunov function theory and the mode-dependent average dwell time method includes fast switching and slow switching,the relevant conclusions for making the switched system exponentially stable are obtained.Moreover,the gain of the sampling con-troller is obtained by using the LMI toolbox.Finally,the effectiveness of the obtained results is verified by simulation.2.l₂-l_?control for networked control systems with packet dropoutThe sampling controller is first designed to convert the networked control system into a sampled-data system that contains both continuous and discrete states.Then,the sampled-data system is modeled as a discrete time switched system according to the number of lost packets and the method of discretizing the sampled-data system.The mode-dependent average dwell time method is used to obtain the relevant conclusions about the exponential stability of the switched system,and the l₂-l_?performance of the system is guaranteed.Moreover,the gain of the sampling controller is obtained by means of the LMI toolbox.Finally,the effectiveness of the obtained results is verified by simulation.