The Variable Structure Control Of Discrete Singular Bilinear Systems

With the continuous development of high technology and some of the larger engineering technology,there has been a lot of uncertainty in the system in a number of science and technology.The sliding mode of Variable Structure Control(VSC)system is invariance,so in recent years,some research workers abroad extensively studied generalized variable structure control system and achieved good results.But Variable Structure generalized system of control,especially discrete research VSC singular bilinear systems is rarely.So the study of variable structure control for discrete singular bilinear systems is of great significance.In this paper,we study the problem of VSC about discrete singular bilinear systems and discrete singular uncertain bilinear systems by Lyapunov stability theory,variable structure control theory methods to design switching function.The main contents are as follows:Firstly,This article describes the research background and significance of variable structure control problem and its research status and some existing problems.Then it introduces the basics as well as some definitions and lemmas in this document refers to the singular discrete systems and variable structure control to be used in the text.Secondly,this paper study the variable structure control design problem of discrete singular bilinear system,then the methods of the front system were applied to variable structure control of discrete uncertain singular systems.Using suitable singular discrete systems with Differential compensator switching function and generalized discrete reaching law.Based on Generalized Discrete Sliding Mode Control designed by discrete generalized reaching law weaken the chattering effectively,improves the dynamic quality of the system.Thirdly,the variable structure control problems for a class of singular bilinear discrete uncertain singular systems with structured perturbation were studied.the same we design a differential compensation switching function,making the system move in the quasi-switching manifold asymptotically stable,then we design discrete variable structure control law inequality When the uncertainties industry is bounded,enabling the system to switch finite number of steps to reach the manifold and then stabilized.Finally,a numerical example was given to demonstrate the effectiveness and practicability of the design method.Finally,a conclusion is given to summarize this thesis,the prospect of further study on the theory of discrete singular bilinear systems and discrete singular uncertain bilinear systems.