Feedback Complete Linearization And Canonical Forms Of Stochastic Nonlinear Systems With Unknown Parameters

In control area, the systems are often affected by the uncertainty factors such as parameter errors,unmodeled dynamics and uncertainty outside interference. And it is usual that the non-linear stochastic systems are chosen to as mathematical models to analyze. How to control these systems has attracted much attention of engineering researchers. Especially the canonical forms and linearization would play an important role within those questions. Hence this paper will consider such problems. This paper consists of five chapters.In the first chapter, we introduce the background of stochastic nonlinear system and some notions. In the second chapter,we give the concept of relative degree and a necessary and sufficient condition is given about this concept. In the third chapter,we give the concept of the complete feedback linearization and a necessary and sufficient condition is proposed for the exact feedback linearization by using the equivalent invariance principle. In the forth chapter, we study a canonical type of stochastic nonlinear sys-tem with the uncertain parameters. On the basis of the exact linearization of the nominal system and by using the variable transformation invariance,we give a necessary and sufficient condition to guarantee existing a standard type on the affine system with the parameters.Lastly a short talk is made to summarize this paper and overview further considerations about this paper.