Algebraic Estimation Method For A Class Of Time-delay Systems And Application

Time-delay is a common phenomenon in practical engineering,such as intelligent Transportation,unmanned aerial vehicle(UAV),chemical industry,etc.Because of the existence of time-delay,the characteristics of the systems become more complex,which increases the difficulty of system modeling,and makes the control quality of the system decrease,and even lead to the instability of the whole system.So it has attracted the attention of engineers and scholars.However,due to the lack of technical means or the limitation of economic cost,some important parameters and internal states of some systems are difficult to be measured directly by instruments.Moreover,in order to realize real-time feedback control,the system parameter identification and state estimation are put forward higher requirements.Therefore,in this paper,Non-A parameters identification and state estimation approach for a class of linear time-delay systems has been studied.And the parameter identification method is applied to the model-free control,at the same time,the state estimation method is applied to the time-delay system state feedback controller.The main contents are as follows:Firstly,for a class of linear time-delay systems with known delay,we study and put forward the parameter identification method by using Non-A algebraic method,Leibniz equation and operator theory.The simulation results show that the results are correct and fast,and we compared this with other parameter identification methods.Secondly,for linear time-delay systems with unknown parameters and known delay,we study and derive a finite time state estimation method for time-delay systems by using the Non-A algebra method and the finite time parameter identification method studied in this paper.The effectiveness of state estimation based on Non-A algebra method is verified by numerical simulation of MATLAB.Then,we study the application of Non-A algebra method in model-free control(MFC).Based on Non-A algebra method,the unknown part of system is approximated as "constant"and "polynomial" in two cases in the sliding window.And the identification method is applied to the iPID control,and a simulation example is given to demonstrate the correctness and efficiency of the proposed method.Finally,the finite-time state estimation method is applied to the state feedback control of time-delay systems.A state feedback controller for a class of time-delay systems is designed,which includes state estimation and state feedback control,based on the finite time state estimation method.And a numerical example is given to demonstrate the effectiveness of the state feedback controller design for time-delay systems based on algebraic state estimation.