ADAPTIVE SMITH PREDICTIVE CONTROL OF NON-LINEAR SYSTEMS USING NEURO-FUZZY HAMMERSTEIN MODELS
José Vieira, Alexandre Mota
2004
Abstract
This paper proposes an Adaptive Smith Predictor Controller (ASPC) based on Neuro-Fuzzy Hammerstein Models (NFHM) with on-line non-linear model parameters identification. The NFHM approach uses a zeroorder Takagi-Sugeno fuzzy model to approximate the non-linear static function that is tuned off-line using gradient decent algorithm and to identify the linear dynamic function it is used the Recursive Least Square estimation with Covariance Matrix Reset (RLSCMR). This algorithm has the capability of follow fast and slow dynamic parameter changes. The proposed ASPC has special capabilities to control non-linear systems that have gain, time delay and dynamic changes through time. The implementation of the ASPC is made in two steps: first, off-line estimation of the non-linear static parameters that will be used to “get linear” the non-linearity of the system and second, on-line identification of the linear dynamic parameters updating direct and inverse models used in the ASPC. As an illustrative example, a gas water heater system is controlled with the ASPC. Finally, the control results are compared with the results obtained with the Smith Predictive Controller based in a Semi-Physical Model (SPMSPC).
References
- Abonyi J., Babuska R., Botto M., Szeifert F., Nagy L. 2000. Identification and Control of Non-linear Systems Using Fuzzy Hammerstein Models. Industrial Engineering and Chemistry Research , vol. 39, no. 11, pp. 4302-4314.
- Abonyi J., Nagy L., Szeifert F., 1999. Adaptive Fuzzy Inference System and its Application in Modelling and Model Based Control, Chemical Engineering Research and Design, vol. 77A, pp. 281-290.
- Abonyi J., Bódizs A., Nagy L., Szeifert F., 2000b. Hybrid Fuzzy Convolution Model and its Application in Model Predictive Control, Chemical Engineering Research and Design, vol. 78(A), pp. 597-604.
- Fink A., Nelles O., Fischer M. and Isermann R., 2001. Nonlinear Adaptive Control of a Heat Exchanger, International Journal of Adaptive Control and Signal Proc., vol. 15(8), pp. 883-906.
- Potmann M., Seborg D. 1997. A Nonlinear Predictive Control Strategy Based on Radial Basis Function Models, Computers Chemistry Engineering, vol. 21 (9), pp. 965-980.
- Tan Y., Nazmul Karim M., 2002. Smith Predictor Based Neural Controller with Time Delay Estimation, Proceedings of 15th Triennial World Congress, IFAC.
- Tan Y., Cauwenberghe A., 1999. Neural Network Based d steps ahead Predictors for Non-Linear Systems with Time Delay, Engineering Applications of Artificial Intelligence, vol. 12(1), pp. 21-35.
- Vieira J., Mota A., 2003. Smith Predictor Based Neural Fuzzy Controller Applied in a Water Gas Heater that Presents a Large Time-Delay. Proceedings of IEEE International Conference on Control Application, vol. 1, pp. 362-367.
- Vieira J., Mota A., 2004a. Water Gas Heater Non-Linear Physical Model: Optimisation with Genetic Algorithms. Proceedings of IASTED 23rd International Conference on Modelling, Identification and Control, February 23-25, vol. 1, pp. 122-127.
- Vieira J., Mota A., 2004b. Parameter Estimation of NonLinear Systems with Hammerstein Models Using Neuro-Fuzzy and Polynomial Approximation Approaches, Proceedings International Conference on Fuzzy Systems IEEE-FUZZ 2004, July 25-29, (accepted).
Paper Citation
in Harvard Style
Vieira J. and Mota A. (2004). ADAPTIVE SMITH PREDICTIVE CONTROL OF NON-LINEAR SYSTEMS USING NEURO-FUZZY HAMMERSTEIN MODELS . In Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 972-8865-12-0, pages 62-69. DOI: 10.5220/0001131900620069
in Bibtex Style
@conference{icinco04,
author={José Vieira and Alexandre Mota},
title={ADAPTIVE SMITH PREDICTIVE CONTROL OF NON-LINEAR SYSTEMS USING NEURO-FUZZY HAMMERSTEIN MODELS},
booktitle={Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2004},
pages={62-69},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001131900620069},
isbn={972-8865-12-0},
}
in EndNote Style
TY - CONF
JO - Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - ADAPTIVE SMITH PREDICTIVE CONTROL OF NON-LINEAR SYSTEMS USING NEURO-FUZZY HAMMERSTEIN MODELS
SN - 972-8865-12-0
AU - Vieira J.
AU - Mota A.
PY - 2004
SP - 62
EP - 69
DO - 10.5220/0001131900620069