Research On Networked Control Systems With Time-varying Delay

Networked control systems(NCSs)are a type of real-time feedback control systems,in which information is transmitted via communication networks among sensors,controllers,and actuators.NCSs can be regarded as remote monitoring systems which realize the sharing of resources between geographically different users within a certain area.The process of information transmission is affected by bandwidth constraints and networked load,the transmitted data will be delayed or even lost.These networked-induced time-varying delays can degrade the closed-loop system performance and even destabilize the system.Stability is the basic requirement of control system,meet certain index is also an important condition for judging system performance.Therefore,this paper studies the delay-dependent asymptotic stability criteria and the approach of controller design for NCSs with stochastic time-varying delays,which has theoretical value and practical value,the main research contents are as follows.Stochastic asymptotic stable for a class of Markov jump systems with interval time-varying delays is studied.Based on an entirely novel second-order convex inequality boundary method and a new Lyapunov-Krasovskii functional which contains cross-terms of variables and the quadratic terms multiplied by high-order function,also by using more independent augmented variables and the estimation of cross items,the paper derives a delay-dependent stochastic asymptotic stable sufficient condition The obtained results are less conservative.A numerical example is given to demonstrate the availability of the proposed technique.The stability analysis and controller design is carried out for a class of networked control systems with time-varying delays and packet dropout.Based on networked-induced time-varying delays which are caused due to time-triggered transmission mode and a novel Lyapunov-Krasovskii functional,a sufficient condition is derived by applying the ideas of free-weighting matrices and quadratic convex combination combined with theory of time-delay system.Numerical examples show the validity and feasibility of the results.The quantization control for stochastic Markov jump systems with interval time-varying delays,bounded system noise,under event-triggering is studied.A new Lyapunov-Krasovskii functional containing the quadratic terms and integral terms,is presented.The quadratic convex technology,the theory of stochastic switching system,and logarithmic quantizer are applied in the paper.With those methodologies,the procedures of controller design derived.A numerical example is given to demonstrate the effectiveness and potential of new design techniques.