Analysis For Networked Systems With Time Delay And Its Application Research On Traction Control

Networked control systems(NCSs)is the feedback control system which is formed by communication network.Compared with the traditional control mode,NCSs have many advantages,such as,information resources sharing,simple installation and maintenance,high reliability and so on.With the gradual maturity of network information technology,NCSs have been applied in many different fields.But the introduction of the network will bring delays and other issues,they will degrade the performance of the entire control system,may even lead to system instability.Networked traction control is through the network to realize the control of AC asynchronous motor,time delay and data packet loss in the network will affect the performance of the whole system.This paper first discusses the stability problems of NCSs with discrete time and continuous time,and the design of guaranteed cost control for networked traction system is studied.The main research results of this paper are as follows:1)The problem of robust stability for NCSs with continuous time-varying delay is investigated.A novel Lyapunov-Krasovskii functional with two triple-integral terms is built,and combined with the free weighting matrix inequality and a new three order matrix inequality,a new stability criterion which makes NCSs stable is established,and a new robust H_? performance stability criterion is established.The numerical examples show that the proposed method is improved compared with the existing method.2)The problem of stability analysis for NCSs with discrete time-varying delay and the feedback controller design are investigated.First of all,a less conservative sum inequality is derived,and can be proved that some widely used sum inequality is a special case of the new inequality.Then a new stability criterion which makes NCSs stable is established,and the state feedback controller is designed,combined with the improved cone complementarily linearization algorithm(ICCL)to getthe controller parameter which can ensure the NCSs stability.Finally,through numerical analysis to illustrate the superiority of this method,and combined with a practical example to illustrate the usefulness of this method.3)The problem of guaranteed cost control for networked traction control system is investigated.By selecting an appropriate Lyapunov-Krasovskii functional and a less conservative integral inequality,the sufficient conditions for the existence of guaranteed cost controller and meet certain performance metrics are obtained.The guaranteed cost controller design method is given,and by using ICCL algorithm to get the guaranteed cost controller parameter.The effectiveness of the design method of controller is verified by an example analysis,and design the guaranteed cost controller for networked traction control system.