A Robust Controller Design Method Based on Parameter Variation Rate of RBF-ARX Model

As an extension of the exponential autoregressive model and radial basis function (RBF) network, the RBF-ARX model has been widely used in nonlinear system modeling and control. Considering conservativeness of the previous method, which only uses the upper and lower limits of the RBF-ARX model param...

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Main Authors: Feng Zhou, Hui Peng, Ganglin Zhang, Xiaoyong Zeng
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8890793/
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author Feng Zhou
Hui Peng
Ganglin Zhang
Xiaoyong Zeng
author_facet Feng Zhou
Hui Peng
Ganglin Zhang
Xiaoyong Zeng
author_sort Feng Zhou
collection DOAJ
description As an extension of the exponential autoregressive model and radial basis function (RBF) network, the RBF-ARX model has been widely used in nonlinear system modeling and control. Considering conservativeness of the previous method, which only uses the upper and lower limits of the RBF-ARX model parameters to construct a system's polytopic state space model, in this paper, the model's parameter variation rate information is also utilized to compress variation range of the coefficient matrices in the system's state space model. And then, a robust predictive control (RPC) strategy for output tracking without using system's steady state information is designed. The method of constructing the system's polytopic state space model takes advantage of the fact that the RBF-ARX model itself is a special quasi-LPV model, and there is no need to assume the time varying parameters and/or the variation rate of the parameters in the system model are known or measurable. The effectiveness of the proposed control strategy is verified on a continuous stirred tank reactor (CSTR) process.
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spelling doaj.art-a4f4746293414c63b0ec3b7ccd085e0f2022-12-21T22:01:07ZengIEEEIEEE Access2169-35362019-01-01716028416029410.1109/ACCESS.2019.29513908890793A Robust Controller Design Method Based on Parameter Variation Rate of RBF-ARX ModelFeng Zhou0https://orcid.org/0000-0002-5513-743XHui Peng1Ganglin Zhang2Xiaoyong Zeng3College of Electronic Information and Electrical Engineering, Changsha University, Changsha, ChinaSchool of Automation, Central South University, Changsha, ChinaCollege of Electronic Information and Electrical Engineering, Changsha University, Changsha, ChinaSchool of Automation, Central South University, Changsha, ChinaAs an extension of the exponential autoregressive model and radial basis function (RBF) network, the RBF-ARX model has been widely used in nonlinear system modeling and control. Considering conservativeness of the previous method, which only uses the upper and lower limits of the RBF-ARX model parameters to construct a system's polytopic state space model, in this paper, the model's parameter variation rate information is also utilized to compress variation range of the coefficient matrices in the system's state space model. And then, a robust predictive control (RPC) strategy for output tracking without using system's steady state information is designed. The method of constructing the system's polytopic state space model takes advantage of the fact that the RBF-ARX model itself is a special quasi-LPV model, and there is no need to assume the time varying parameters and/or the variation rate of the parameters in the system model are known or measurable. The effectiveness of the proposed control strategy is verified on a continuous stirred tank reactor (CSTR) process.https://ieeexplore.ieee.org/document/8890793/Robust predictive controlrobustness and stabilitynonlinear modelparameter variation rate
spellingShingle Feng Zhou
Hui Peng
Ganglin Zhang
Xiaoyong Zeng
A Robust Controller Design Method Based on Parameter Variation Rate of RBF-ARX Model
IEEE Access
Robust predictive control
robustness and stability
nonlinear model
parameter variation rate
title A Robust Controller Design Method Based on Parameter Variation Rate of RBF-ARX Model
title_full A Robust Controller Design Method Based on Parameter Variation Rate of RBF-ARX Model
title_fullStr A Robust Controller Design Method Based on Parameter Variation Rate of RBF-ARX Model
title_full_unstemmed A Robust Controller Design Method Based on Parameter Variation Rate of RBF-ARX Model
title_short A Robust Controller Design Method Based on Parameter Variation Rate of RBF-ARX Model
title_sort robust controller design method based on parameter variation rate of rbf arx model
topic Robust predictive control
robustness and stability
nonlinear model
parameter variation rate
url https://ieeexplore.ieee.org/document/8890793/
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