The State Observer Problem Of Several Linear Systems

State feedback control is the most common and basic method in system research.However,under practical conditions,due to the limitations of funds,equipment and network,the state information of the system cannot be directly obtained,which requires people to estimate the state information of the system according to the output information of the system or the state and output information at a certain time without changing the state of the system.So the design of the observer is of great significance in practical engineering,and has aroused the interest of more and more scholars.In this paper,the state observer is designed for several kinds of linear systems,so that the observed state information can be used to estimate the real system information.The detailed arrangements of this paper are as follows:In chapter 1,the research status and theory of observer-based systems are briefly introduced.In chapter 2,the stability of general linear time-varying system based on sampling observer is studied,and the maximum sampling interval is given.Then the control protocol based on observation period isdesigned,and the stability of general linear time-varying system is solved by using Young's inequality and Lyapunov function.In chapter 3,the sampled-data observer for general linear state-affine system is designed and the maximum sampling interval is calculated.In chapter 4,the admissibility of a general linear generalized system with exogenous disturbance based on an observer is studied,and by Lyapunov function,the sufficient conditions for the admissible consensus for the generalized system with exogenous disturbance is given.Chapter 5 is summary and prospect of the paper.