State Estimation And Control Of Uncertain Sampled-Data Systems

Sampled-data system is a kind of hybrid system that contains both continuous and discrete signals.Compared with other continuous time control systems,the sampled-data system is widely used and effective.In recent years,with the rapid development and wide application of digital controllers,more and more scholars have paid attention to the research of sampled-data systems.This paper considers the problem of state feedback control and fault diagnosis for linear sampled-data systems.The main research contents are as follows:Firstly,the sampled-data systems and the classification of fault diagnosis are briefly introduced by analyzing domestic and foreign literature,and some important preliminaries are presented.Then,for a class of linear sampled-data systems with both model uncertainty and external disturbances,a state feedback controller design method is proposed.Based on the linear matrix inequalities of Lyapunov-Krasovskii functionals,the existence conditions of robust H_∞controllers are given.Then,based on the above content,the design of the controller is further improved,an observer design method is proposed for uncertain sampled-data systems containing external disturbances.Furthermore,the controller is designed based on the estimated state of sampled-data systems.By constructing Lyapunov-Krasovskii functional and solving linear matrix inequality,the observer gain matrix and the controller gain matrix under the system stability condition are obtained.Subsequently,the fault diagnosis of sampled-data systems is considered,and a robust fault estimation observer design method for estimating system actuator faults is proposed for a class of disturbed sampled-data systems.By jointly augmenting the error dynamic system formed by the state estimation error and the fault estimation error,and solving the linear matrix inequality based on the Lyapunov-Krasovskii functional,a sufficient condition to ensure the global asymptotic convergence of the error dynamic system is given.Finally,apply the above method to helicopter and civil aircraft examples,and the simulation experiment is carried out by MATLAB software.The experimental results verify the feasibility of the above design method.Furthermore,the method in this paper is compared with the methods used in the existing literature to verify the superiority of the design method in this paper and explain it.