Abstract
This chapter treats theoretical results concerning the Symmetrical Optimum method (SO-m), linear 2-DOF and fuzzy control extensions, perspectives and applications. The theoretical results are related to the Extended SO-m (ESO-m) and the double parameterization of the SO-m (2p-SO-m) introduced previously by the authors. Digital implementation aspects are given. The applications deal with speed and position control of rapid plants in mechatronic systems with focus on electrical drives with BLDC motors and variable moment of inertia.
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Åström, K.J., Hägglund, T.: PID controllers theory: Design and tuning. Instrument Society of America, Research Triangle Park (1995)
Föllinger, O.: Regelungstechnik. Elitera Verlag, Berlin (1985)
Preitl, S., Precup, R.E.: An extension of tuning relations after symmetrical optimum method for PI and PID controllers. Automatica 35, 1731–1736 (1999)
Preitl, Z.: Improving disturbance rejection by means of a double parameterization of the symmetrical optimum method. Scientific Bulletin of the Politehnica University of Timişoara, Series Automation and Computer Science 50(64), 25–34 (2005)
Preitl, Z.: Model based design methods for speed control applications. Editura Politehnica, Timisoara, Romania (2008)
Isermann, R.: Mechatronic systems: Fundamentals. Springer, New York (2005)
Baldursson, S.: BLDC motor modelling and control - A Matlab/Simulink implementation. M.Sc. Thesis, Institutionen för Energi och Miljö, Göteborg, Sweden (2005)
Nasar, S.A., Boldea, I.: Electric drives, 2nd edn. CRC Press (2005)
Boldea, I.: Advanced electric drives. PhD courses (2010-2011). “Politehnica“ Univ. Timisoara, Timisoara (2011)
Mink, F., Bahr, A.: Adaptive speed control for drives with variable moments of inertia and natural drequencies. LTi DRIVES GmbH Entwicklung Software. Lahnau, Germany (2011)
Christian, J.A., Turbe, M.A., Kabo, E.M., Manno, L.C., Johnson, E.N.: Development of a variable inertia reaction wheel system for spacecraft attitude control. In: Proceedings of AIAA Guidance, Navigation, and Control Conference and Exhibit, Providence, Rhode Island, USA, p. 13 (2004)
Akpolat, Z.H., Asher, G.M., Clare, J.C.: A practical approach to the design of robust speed controllers for machine drives. IEEE Trans. Ind. Electro. 47, 315–324 (2000)
Preitl, S., Precup, R.E.: Cross optimization aspects concerning the extended symmetrical optimum method. In: Preprints of PID 2000 IFAC Workshop, Terrassa, Spain, pp. 254–126 (2000)
Preitl, S., Precup, R.E., Preitl, Z.: Control structures and algorithms, vol. 1, 2. Editura Orizonturi Universitare, Timisoara (2009) (in Romanian)
Preitl, S., Precup, R.E., Stînean, A.I., Dragoş, C.A., Rădac, M.B.: Extensions in symmetrical optimum design method. Advantages, applications and perspectives. In: Proceedings of 6th IEEE International Symposium on Applied Computational Intelligence and Informatics (SACI 2011), Timisoara, Romania, pp. 17–22 (2011)
Araki, M., Taguchi, H.: Two-degree-of-freedom PID controllers. Int. J. Control Automat. Syst. 1, 401–411 (2003)
Preitl, S., Precup, R.E., Preitl, Z.: Aspects concerning the tuning of 2-DOF fuzzy controllers. In: Proceedings of Xth Triennial International SAUM Conference on Systems, Automatic Control and Measurements (SAUM 2010), Nis, Serbia, pp. 210–219 (2010)
Škrjanc, I., Blažič, S., Matko, D.: Direct fuzzy model-reference adaptive control. Int. J. Intell. Syst. 17, 943–963 (2002)
Blažič, S., Škrjanc, I., Matko, D.: Globally stable direct fuzzy model reference adaptive control. Fuzzy Sets Syst. 139, 3–33 (2003)
Guesmi, K., Essounbouli, N., Hamzaoui, A.: Systematic design approach of fuzzy PID stabilizer for DC-DC converters. Energ Convers Manage 49, 2880–2889 (2008)
Peng, C., Han, Q.L.: Delay-range-dependent robust stabilization for uncertain T-S fuzzy control systems with interval time-varying delays. Inf. Sci. 181, 4287–4299 (2011)
Garcia, A., Luviano-Juarez, A., Chairez, I., Poznyak, A., Poznyak, T.: Projectional dynamic neural network identifier for chaotic systems: Application to Chua’s circuit. Int. J. Artif. Intell. 6, 1–18 (2011)
Stînean, A.I., Preitl, S., Precup, R.E., Pozna, C., Dragoş, C.A., Rădac, M.B.: Speed and position control of BLDC servo systems with low inertia. In: Proceedings of 2nd International Conference on Cognitive Infocommunications (CogInfoCom 2011), Budapest, Hungary, p. 10 (2011)
Stînean, A.I.: Electric drives simulations - brushless DC motor drive. PhD project courses. “Politehnica“ Univ. Timisoara, Timisoara (2010) (in Romanian)
Baranyi, P., Gedeon, T.D.: Rule interpolation by spatial geometric representation. In: Proceedings of 6th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 1996), Granada, Spain, pp. 483–488 (1996)
Baranyi, P., Yam, Y., Várkonyi-Kóczy, A.R., Patton, R.J., Michelberger, P., Sugiyama, M.: SVD based complexity reduction to TS fuzzy models. IEEE Trans. Ind. Electron 49, 433–443 (2002)
Horváth, L., Rudas, I.J.: Modelling and solving methods for engineers. Academic Press, Burlington (2004)
Vaščák, J., Madarász, L.: Adaptation of fuzzy cognitive maps - a comparison study. Acta Polytechnica Hungarica 7, 109–122 (2010)
Johanyák, Z.C.: Student evaluation based on fuzzy rule interpolation. Int. J. Artif. Intell. 5, 37–55 (2010)
Zhang, J., Shi, P., Xia, Y.: Robust adaptive sliding-mode control for fuzzy systems with mismatched uncertainties. IEEE Trans. Fuzzy Syst. 18, 700–711 (2010)
Iglesias, J.A., Angelov, P., Ledezma, A., Sanchis, A.: Evolving classification of agents’ behaviors: a general approach. Evolving Syst. 1, 161–171 (2010)
Linda, O., Manic, M.: Self-organizing fuzzy haptic teleoperation of mobile robot using sparse sonar data. IEEE Trans. Ind. Electron 58, 3187–3195 (2011)
Kasabov, N., Abdull Hamed, N.H.: Quantum-inspired particle swarm optimisation for integrated feature and parameter optimisation of evolving spiking neural networks. Int. J. Artif. Intell. 7, 114–124 (2011)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag GmbH Berlin Heidelberg
About this chapter
Cite this chapter
Preitl, S., Stînean, AI., Precup, RE., Dragoş, CA., Rădac, MB. (2012). 2-DOF and Fuzzy Control Extensions of Symmetrical Optimum Design Method: Applications and Perspectives. In: Precup, RE., Kovács, S., Preitl, S., Petriu, E. (eds) Applied Computational Intelligence in Engineering and Information Technology. Topics in Intelligent Engineering and Informatics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28305-5_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-28305-5_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28304-8
Online ISBN: 978-3-642-28305-5
eBook Packages: EngineeringEngineering (R0)