Statistic PID Tracking Control for Non-Gaussian Stochastic Systems Based on T-S Fuzzy Model  

作　　者：Yang Yi Hong Shen Lei Gu 

机构地区：[1]School of Automation, Southeast University, Nanjing 210096, PRC [2]School of Economics and Management, Southeast University, Nanjing 210096, PRC [3]School of Instrumentation and Opto-Eiectronics Engineering, Beihang University, Beijing 100083, PRC

出　　处：《International Journal of Automation and computing》2009年第1期81-87,共7页国际自动化与计算杂志（英文版）

基　　金：supported by National Natural Science Foundationof China (No. 60472065, No. 60774013).

摘　　要：A new robust proportional-integral-derivative （PID） tracking control framework is considered for stochastic systems with non-Gaussian variable based on B-spline neural network approximation and T-S fuzzy model identification. The tracked object is the statistical information of a given target probability density function （PDF）, rather than a deterministic signal. Following B-spline approximation to the integrated performance function, the concerned problem is transferred into the tracking of given weights. Different from the previous related works, the time delay T-S fuzzy models with the exogenous disturbances are applied to identify the nonlinear weighting dynamics. Meanwhile, the generalized PID controller structure and the improved convex linear matrix inequalities （LMI） algorithms are proposed to fulfil the tracking problem. Furthermore, in order to enhance the robust performance, the peak-to-peak measure index is applied to optimize the tracking performance. Simulations are given to demonstrate the efficiency of the proposed approach.A new robust proportional-integral-derivative （PID） tracking control framework is considered for stochastic systems with non-Gaussian variable based on B-spline neural network approximation and T-S fuzzy model identification. The tracked object is the statistical information of a given target probability density function （PDF）, rather than a deterministic signal. Following B-spline approximation to the integrated performance function, the concerned problem is transferred into the tracking of given weights. Different from the previous related works, the time delay T-S fuzzy models with the exogenous disturbances are applied to identify the nonlinear weighting dynamics. Meanwhile, the generalized PID controller structure and the improved convex linear matrix inequalities （LMI） algorithms are proposed to fulfil the tracking problem. Furthermore, in order to enhance the robust performance, the peak-to-peak measure index is applied to optimize the tracking performance. Simulations are given to demonstrate the efficiency of the proposed approach.

关 键 词：Non-Gaussian systems probability density function statistic tracking control T-S fuzzy model proportional-integralderivative control. 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]