Tracking of Variable Structure Model for Generalized Nonlinear Systems

a Based on the concept of generalized nonlinear system model tracking, the tracking problem is studied by using variable structure control method. In nonlinear system, based on the classification system, the design of generalized tracking system switching function S, makes the switching surface S=0, realize the model tracking, and the design of variable structure control law, realization of generalized nonlinear systems with sliding mode. INTRODUCTION In the practice of human production, a large number of practical problems are difficult to use simple linear model as the model of the real system, and it must be described by a nonlinear model. For example, the circuit system, the restricted robot system, etc. The research on nonlinear singular control system has both theoretical value and practical significance. Document[1] has studied the problem of variable structure control for descriptor systems. Document[2] has discussed the control problem of sliding mode of nonlinear system. Document[3][4] has studied the model tracking problem, This article through the case classification for generalized nonlinear systems, the tracking system design under various conditions of the switching function of S, makes the switching surface S=0, realize the model tracking, and the design of variable structure control law, realization of generalized nonlinear systems with sliding mode. SYSTEM DESCRIPTION General nonlinear system        Cx y u x B x A t x E ) ( ) ( ) ( . (1) Here, n n R E   is singular definite matrix, n r rankE   , n R x A  ) ( is n dimension function vector, ) (x B is m n function matrix, n R x is State of the Liu Tiesheng1*, Xia Qiuye2, Luo Fenghua1, Wei Yi1 1Jiangxi Modern Polytechnic College, 33005, Jiangxi China 2Nanchang Institute of Science & Technology, 330108, Jiangxi China