Exponential passive filtering for a class of nonlinear jump systems  

作　　者：He Shuping Liu Fei 

机构地区：[1]Inst. of Automation, Jiangnan Univ., Wuxi 214122, P. R. China

出　　处：《Journal of Systems Engineering and Electronics》2009年第4期829-837,共9页系统工程与电子技术（英文版）

基　　金：supported partly by the National Natural Science Foundation of China(60574001);the Program for New Century Excellent Talents in University(050485);the Program for Innovative Research Team of Jiangnan University.

摘　　要：The exponential passive filtering problem for a class of nonlinear Markov jump systems with uncertainties and time-delays is studied. The uncertain parameters are assumed unknown but norm bounded, and the nonlinearities satisfy the quadratic condition. Based on the passive filtering theory, the sufficient condition for the existence of the mode-dependent passive filter is given by analyzing the reconstructed observer system. By using the appropriate Lyapnnov-Krasovskii function and applying linear matrix inequalities, the design scheme of the passive filter is derived and described as an optimization one. The presented exponential passive filter makes the error dynamic systems exponentially stochastically stable for all the admissible uncertainties, time-delays and nonlinearities, has the better abilities of state tracking and satisfies the given passive norm index. Simulation results demonstrate the validity of the proposed approach.The exponential passive filtering problem for a class of nonlinear Markov jump systems with uncertainties and time-delays is studied. The uncertain parameters are assumed unknown but norm bounded, and the nonlinearities satisfy the quadratic condition. Based on the passive filtering theory, the sufficient condition for the existence of the mode-dependent passive filter is given by analyzing the reconstructed observer system. By using the appropriate Lyapnnov-Krasovskii function and applying linear matrix inequalities, the design scheme of the passive filter is derived and described as an optimization one. The presented exponential passive filter makes the error dynamic systems exponentially stochastically stable for all the admissible uncertainties, time-delays and nonlinearities, has the better abilities of state tracking and satisfies the given passive norm index. Simulation results demonstrate the validity of the proposed approach.

关 键 词：nonlinear Markov jump systems UNCERTAINTIES TIME-DELAYS passive filter exponentially stochastically stable linear matrix inequalities. 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置] N94[自动化与计算机技术—控制科学与工程]