Abstract
In this paper, a new approach to design nonlinear adaptive PI multi-controllers, for SISO systems, based on neural local linear principal components analysis (PCA) models is proposed. The PCA neural networks only implements the integral term of the PI multi-controller, a proportional term is added to obtain a PI structure. A modified normalized Harris performance index is used for evaluating the controller performance. Some experimental results obtained with a nonlinear three tank benchmark model are presented, showing the adaptive PI-PCA multi-controller performance compared to neural linear PI controllers.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ang, K., Chong, G., Li, Y.: Pid control system analysis, design, and technology. IEEE Transactions on Control Systems Technology 13(4), 559–576 (2005)
Astrom, K., Hagglund, T.: The future of pid control. Control Engineering Practice 9, 1163–1175 (2001)
Bezergianni, S., Georgakis, C.: Controller performance assessment based on minimum and open-loop output variance. Control Eng. Practice 8, 791–797 (2000)
Brito Palma, L.: Fault Detection, Diagnosis and Fault Tolerance Approaches in Dynamic Systems based on Black-Box Models. Ph.D. thesis, Universidade Nova de Lisboa, Portugal (2007)
Brito Palma, L., Coito, F., Gil, P.: Design of adaptive sliding window pi-pca controller. In: IEEE 20th Mediterranean Conference on Control and Automation (MED), Barcelona - Spain, July 3-6 (2012)
Brito Palma, L., Coito, F., Gil, P.: Pi controller for siso linear systems based on neural linear pca. In: European Control Conference (paper accepted), Strasbourg, France, June 24-27 (2014)
Brito Palma, L., Coito, F., Gil, P., Neves-Silva, R.: Process control based on pca models. In: 15th IEEE Int. Conf. on Emerging Technologies and Factory Automation (ETFA), Bilbao, Spain, September 13-16 (2010)
Brito Palma, L., Coito, F., Gil, P., Neves-Silva, R.: Design of adaptive pca controllers for siso systems. In: 18th World Congress of the International Federation of Automatic Control (IFAC WC), Milano, Italy, August 28-September 2 (2011)
Brito Palma, L., Moreira, J., Gil, P., Coito, F.: Hybrid approach for control loop performance assessment. In: 5th International Conference on Intelligent Decision Technologies (KES-IDT), Sesimbra, Portugal, June 26-28 (2013)
Cano-Izquierdo, J., Ibarrola, J., Kroeger, M.: Control loop performance assessment with a dynamic neuro-fuzzy model (dfasart). IEEE Trans. on Automation Science and Engineering 9, 377–389 (2012)
Choobkar, S., Sedigh, A., Fatehi, A.: Input-output pairing based on the control performance assessment index. In: IEEE Int. Conf. on Advanced Computer Control (ICACC), China, Shenyang (2010)
Desborough, L., Harris, T.: Performance assessment measures for univariate feedback control. Canadian Journal of Chemical Engineering 70, 1186–1197 (1992)
Diamantaras, K.: Principal Component Neural Networks: theory and applications. Wiley (1996)
Ender, D.: Process control performance: not as good as you think. Control Engineering 180 (1993)
Harris, T.: Assessment of control loop performance. Canadian Journal of Chemical Engineering 67, 856–861 (1989)
Harris, T., Seppala, C., Desborough, L.: A review of performance assessment and process monitoring techniques for univariate and multivariate control systems. In: IFAC ADCHEM Conference, Canada (1997)
Heiming, B., Lunze, J.: Definition of the three-tank benchmark problem for controller reconfiguration. In: European Control Conference, Karlsruhe, Germany (1999)
Horch, A.: Condition Monitoring of Control Loops. Ph.D. thesis, Royal Institute of Technology, Sweden (2000)
Horch, A., Isaksson, A.: A modified index for control loop performance assessment. In: ACC Americal Control Conference, USA, Philadelphia (1998)
Jackson, J.: A User’s Guide to Principal Components. Wiley (2003)
Jelali, M.: An overview of control performance assessment technology and industrial applications. Control Engineering Practice 14, 441–466 (2006)
Kramer, M.: Nonlinear principal component analysis using auto-associative neural networks. AICHE Journal 37(2), 233–243 (1991)
Lemos, J., Rato, L., Mosca, E.: Integrating predictive and switching control: Basic concepts and an experimental case study. In: Progress in Systems and Control Theory. Birkhäuser Verlag (2000)
Liberzon, D.: Switching in Systems and Control. Birkhauser Boston-MA (2003)
Norgaard, M., Ravn, O., Poulsen, N., Hansen, L.: Neural Networks for Modelling and Control of Dynamic Systems. Springer (2003)
Piovoso, M.: The Use of Multivariate Statistics in Process Control. In: The Control Handbook, pp. 561–573. CRC Press (1996)
Piovoso, M., Kosanovich, K.: Applications of multivariate statistical methods to process monitoring and controller design. Int. Journal of Control 59(3), 743–765 (1994)
Siemens, A.: How to improve the performance of your plant using the appropriate tools of simatic pcs7 apc portfolio - white paper. Siemens AG (2008)
Stanfelj, N., Marlin, T., MacGregor, J.: Monitoring and diagnosing process control performance: the single loop case. Ind. Eng. Chem. 32, 301–314 (1993)
Vilanova, R., Visioli, A. (eds.): PID Control in the Third Millennium - Lessons Learned and New Approaches. Springer (2012)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Palma, L.B., Coito, F.V., Gil, P.S. (2015). Neural PCA Controller Based on Multi-Models. In: Moreira, A., Matos, A., Veiga, G. (eds) CONTROLO’2014 – Proceedings of the 11th Portuguese Conference on Automatic Control. Lecture Notes in Electrical Engineering, vol 321. Springer, Cham. https://doi.org/10.1007/978-3-319-10380-8_11
Download citation
DOI: https://doi.org/10.1007/978-3-319-10380-8_11
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10379-2
Online ISBN: 978-3-319-10380-8
eBook Packages: EngineeringEngineering (R0)