Statistic PID Tracking Control for Non-Gaussian Stochastic Systems Based on T-S Fuzzy Model |
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作者单位: | Yang Yi1 Hong Shen2 Lei Guo1,3,1School of Automation,Southeast University,Nanjing 210096,PRC 2School of Economics and Management,Southeast University,Nanjing 210096,PRC 3School of Instrumentation and Opto-Electronics Engineering,Beihang University,Beijing 100083,PRC |
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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.
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关 键 词: | 非高斯系统 概率密度函数 统计跟踪模式 T-S模糊模式 |
收稿时间: | 2007-12-21 |
修稿时间: | 2008-9-24 |
Statistic PID tracking control for non-Gaussian stochastic systems based on T-S fuzzy model |
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Authors: | Yang Yi Hong Shen Lei Guo |
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Affiliation: | (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-Electronics Engineering, Beihang University, Beijing, 100083, PRC |
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Abstract: | 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. |
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Keywords: | Non-Gaussian systems probability density function statistic tracking control T-S fuzzy model proportional-integral-derivative control |
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