Controller design for stochastic nonlinear systems with matched conditions  

作　　者：LI Guifang Ye-Hwa CHEN 

机构地区：[1]College of Civil Aviation, Nanjing University of Aeronautics and Astronautics [2]George W.Woodruff School of Mechanical Engineering, Georgia Institute of Technology

出　　处：《Journal of Systems Engineering and Electronics》2018年第1期160-165,共6页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Foundation of China(61304020)

摘　　要：This paper is concerned with the global boundedness problem for a class of stochastic nonlinear systems with matched conditions. The uncertainties in the systems are due to parameter variations and external stochastic disturbance. Only the matched conditions and the possible bound of the uncertainties are demanded. Based on the stochastic Lyapunov stability theory, an explicit controller is constructed in the gradient direction, which renders responses of the closed-loop systems be globally bounded in probability. When the systems degrade to linear systems, the controller becomes linear. Illustrative examples are given to show the effectiveness of the proposed method.This paper is concerned with the global boundedness problem for a class of stochastic nonlinear systems with matched conditions. The uncertainties in the systems are due to parameter variations and external stochastic disturbance. Only the matched conditions and the possible bound of the uncertainties are demanded. Based on the stochastic Lyapunov stability theory, an explicit controller is constructed in the gradient direction, which renders responses of the closed-loop systems be globally bounded in probability. When the systems degrade to linear systems, the controller becomes linear. Illustrative examples are given to show the effectiveness of the proposed method.

关 键 词：stochastic nonlinear systems UNCERTAINTY matched conditions global boundedness in probability 

分 类 号：N945[自然科学总论—系统科学]