The Study Of Sliding Model Control For Uncertain Discrete Systems

Networked control systems(NCSs)is generated by the intersection of computer technology,communication technology and control technology.Networked control system has been widely used in intelligent robots,driverless,unmanned aerial vehicles,industrial automation and other fields,due to its advantage features such as low cost,resource sharing,remote operation,simple installation and maintenance.However,in the complex network environment,there are lots of problems,such as data packet loss and network congestion,are urgent to be solved especially when we are studying networked control systems.This paper studied the problem of packet loss in networked control system,and the main research works are as follows:(1)Focusing on the uncertain discrete system,the problem of stabilization is studied when single packet loss occurs in the network environment.In the complex network environment,the Bernoulli binomial distribution is used to describe the process of data packet loss,and a new integral sliding mode surface is designed,which depends on the packet loss rate,and the sufficient conditions for stabilizing the system are obtained based on the Lyapunov function.Then,utilizing the linear ap-proaching rate,the sliding mode control law is designed,such that the state of the system keep in a neighborhood of the ideal sliding surface,which ensured the asymptotical stability of the system.Finally,the numerical simulations shows the effectiveness of this method.(2)Focusing on the discrete singular system with uncertainties,the stabilization problem is stud-ied when single packet loss occurs in the network environment.A new integral sliding mode surface is designed,which depends on the packet loss rate and the singular matrix E,and the sufficient con-ditions for the system to have a certain H? property are obtained.Then,by using the linear approach rate,a sliding mode control law is designed.It also make sure that the system state stayed in a neigh-borhood of the ideal sliding surface.Thus,the system is asymptotically stable.Finally,the numerical simulations shows the effectiveness of this method.(3)Focusing on the uncertain discrete singular system,the stabilization problem is studied when successive packet loss occurs in the network environment.A new integral sliding mode surface is de-signed,which depends on the packet loss rate and the singular matrix E,and the sufficient conditions for stabilizing the system are obtained based on the Lyapunov function.Then,by using the linear approach rate,a sliding mode control law is designed.It also make sure that the system state stayed in a neighborhood of the ideal sliding surface.Thus,the system is asymptotically stable.Finally,the numerical simulations shows the effectiveness of this method.