Stability Analysis And Scheduling Control Design Of Networked Control Systems

Networked control systems(NCS)which are derived from conventional control systems with networks play an irreplaceable role in industrial applications.Therefore,the research on modeling,analysis and design issues of NCS has attracted significant attention in present.Time-delays and communication constraints are the two main factors affecting the performance even system instability of NCS.How to model,analyze and design associated controllers of NCS with time-delays and communication constraints are the key issues.In this paper,considering NCS with time-varying delays and communication constraints,the issue of modeling,analysis and design of NCS is researched by using the switched systems theory,the average dwell time method,TOD dynamic scheduling strategy,LMI technology,Lyapunov-Krasovskii functional,delay-partitioning method and the convex optimization method.The detailed content is arranged as follows:Considering NCS with short time-varying delays and communication constraints,on the premise that the sensor is time-driven,controller and actuator are event-driven,combined with scheduling strategy,the NCS is modeled as a series of switched systems.The scheduling strategy updates configuration according to communication messages and methods which can make the system dynamic performance stabilization.By using switched system theory,Lyapunov functional and LMI technology,a sufficient condition of exponentially stable and a design method of state feedback controller are given.Considering NCS with large time-varying delays and communication constraints,firstly,the reasonable data transmission strategy is used to build the relationship between switched rate and the dynamic scheduling strategy and the NCS with large time-varying delays and communication constraints is modeled as discrete switched systems.Secondly,exponential stability of NCS is analyzed by using the average dwell time method and Lyapunov functional method.Thirdly,on condition that NCS is exponentially stable,applying LMI techniques,a co-design algorithm of H_?filters and dynamic scheduling strategy is proposed.Considering NCS with random nonlinear and multi-noise,co-design of dynamic scheduling strategy and H_?filter has been studied.Under the influence of large time-delays and communications constraints to build the relationship between switched rate and the dynamic scheduling strategy,the closed-loop control system is modeled as a discrete switched system with a limited of subsystems.Furthermore,employing delay-partitioning method in every subsystem and building reasonable Lyapunov-Krasovskii functional,a sufficient condition for asymptotically stable is given,and using LMI technology and convex optimization algorithm,a co-design algorithm of dynamic scheduling strategy and H_?filter is proposed.At last,for the results of the study,some numerical examples are simulated by the True Time and LMI toolbox to demonstrate the effectiveness of proposed algorithms.