A dynamical inequality for the output of uncertain nonlinear systems  

作　　者：LI ChanYing GUO Lei 

机构地区：[1]National Center for Mathematics and Interdisciplinary Sciences,Chinese Academy of Sciences [2]Key Laboratory of Systems and Control,Institute of Systems Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences

出　　处：《Science China(Information Sciences)》2013年第1期108-116,共9页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 60821091);Committee on Research and Conference Grants of The University of Hong Kong (HKU CRCG) (Grant No. 201007176047)

摘　　要：An important task in control theory is to study the limitations of feedback principle in dealing with uncertainties. Although some progresses have been achieved in this area, they are all focused on some special classes of linearly parameterized nonlinear uncertain systems. In this paper, we will present a dynamic inequality for the output process of a quite general class of nonlinear dynamical control systems with nonlinearly parameterized uncertain parameters. This inequality will be established using a stochastic imbedding approach based on a Cramer-Rao inequality for dynamical systems, and will be shown to play a crucial role in investigating the fundamental limitations of the feedback mechanism.An important task in control theory is to study the limitations of feedback principle in dealing with uncertainties. Although some progresses have been achieved in this area, they are all focused on some special classes of linearly parameterized nonlinear uncertain systems. In this paper, we will present a dynamic inequality for the output process of a quite general class of nonlinear dynamical control systems with nonlinearly parameterized uncertain parameters. This inequality will be established using a stochastic imbedding approach based on a Cramer-Rao inequality for dynamical systems, and will be shown to play a crucial role in investigating the fundamental limitations of the feedback mechanism.

关 键 词：dynamical systems uncertain parameters feedback control Cramer-Rao bound 

分 类 号：O231[理学—运筹学与控制论]