Research On Quantitative Tracking Control Based On Event Triggering

For many years,tracking control has been an important research direction of control theory,and it has been widely applied in missile tracking,multi-agent formation,biomedicine and other fields.The main purpose of tracking control is to allow the signal of the control system to track the signal of the reference model.With the development of industry and gradually increased demand,the structure of control systems has become increasingly complicated.Networked Control Systems(NCSs)is becoming more and more important in control system.Since the network bandwidth in NCSs is limited,if a large amount of data needs to be transmitted,network congestion is prone to occur.Therefore,in order to improve the utilization of bandwidth in NCSs,this article introduces event triggering mechanism and quantizer into NCSs.However,the event trigger mechanism and quantization will produce relevant errors while processing the data,and these errors will have a certain impact on the stability and control performance of the system.Therefore,it is of great significance to study event triggering mechanism and quantitative control under NCSs.Based on the above analysis,this article will conduct research from the following three aspects:(1)For a class of discrete-time NCSs,state feedback and output feedback methods will be used to study the problem of quantitative tracking control based on event triggering.First of all,under the action of the event triggering mechanism,the signal will be transmitted to the quantizer.Then,the quantized signal will be transmitted to the controller.Next,the stability of the closed-loop system will be analyzed based on Lyapunov theory and linear matrix inequality method,and the controller gain is solved.Finally,the effectiveness of the design method will be verified by numerical simulation.(2)In view of the mismatch between the quantizer encoding and decoding parameters,the tracking control problem based on the event trigger mechanism will be studied.In order to deal with the problem of quantization mismatch,a nonlinear part is added when designing the controller.First of all,this paper analyze the exponential stability and performance of the closed-loop control system.And according to the given condition,the design scheme of the controller feedback gain and trigger parameters is obtained.Then,the minimum lower bound of the adjacent trigger interval is given to avoid Zeno behavior.Finally,the validity of the obtained results is verified through simulation examples.(3)For a class of discrete-time NCSs with external interference,this paper study the problem of dynamic quantitative tracking control triggered by events.In order to reduce the impact of quantization on system performance and stability,this paper introduces a class of dynamic quantizer with memory function and combines with Lyapunov theory and linear matrix inequality analysis method,then designs a state feedback tracking controller to make the closed-loop system asymptotically more stable and satisfy Control performance.Finally,the validity of the results is verified through simulation examples.