The New-type Observer Design For Linear Singular Syetems

Abstract: With the fast development of technology,singular systems are found in engineering systems, science and technology systems,economic systems,biological systems,network analysis and educational systems and the state-observer theory has been applying extensively.While the study developing gradually,scholars have been introducing more and more new methods.The reduced-order observer has been an important branch of control theory for a long time ,because it can make the closed-loop system posses the expected properties,as well as smaller invest and lower cost.In recent years,many authors focus on reduced-order observer theory,and there have many results in the literature.Using some well-known results,in this paper,,we study the new-type observer for the discrete-time singular systems and unknown-input observers for the singular systems.We divide our investigation into three chapters:Chapter 1 summarizes the obsever theory of continuous-singular systems,including some definitions and some theorems.Chapter 2 works on the new-type observer for the discrete-time singular systems.First,,we use restricted equivalent system to design the observer,futher an asymptotic estimation of the state is given.second,using the compensator,we design the observer of the discrete-time singular system.(l)The researched systems are decomposed into EF1. Based on the output feedback compensator,dynamic observers of forward recurrent system and the overall dynamics of the dynamic observer can be rewritten .(2)using dynamic compensator to design the observer.step (l):Design a dynamic compensator using a suitable linear output feedback design method. The compensator should be designed so that the closed-loop system is stable and the performance is desirable.Step (2):Then choose the parameters of the dynamic observers .third,the backward recurrent system is transformed into the required form, then the dynamic...