Abstract
This chapter gives two–degree–of–freedom (2–DOF) speed control solutions for brushless Direct Current motor (BLDC–m) drives with focus on design methodologies. A classical 2–DOF structure, 2–DOF proportional-integral (PI) and proportional–integral–derivative (PID) structures and 2–DOF fuzzy control solutions are presented and approaches regarding the methods are highlighted. A case study concerning a BLDC–m drive with variable moment of inertia is presented. Comparative studies based on digital simulation results are included to exemplify the design methods.
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References
Isermann, R.: Mechatronic systems: Fundamentals. Springer, Heidelberg (2005)
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. Electron 47, 315–324 (2000)
Miklosovic, R., Gao, Z.: A robust two–degree–of–freedom control design technique and its practical application. In: Proceedings of 39th IAS Annual Meeting Conference, Seattle, WA, USA, vol. 3, pp. 1495–1502 (2004)
Landau, I.D., Zito, G.: Digital control systems: Design, identification and implementation. Springer, London (2006)
Preitl, S., Precup, R.E., Preitl, Z.: Control structures and algorithms. Editura Orizonturi Universitare, Timisoara (2009) (in Romanian)
Araki, M., Taguchi, H.: Two–degree–of–freedom PID controllers. Int. J. Control Automat. Syst. 1, 401–411 (2003)
Astrom, K.J., Hagglund, T.: PID controllers theory: Design and tuning. Instrument Society of America, Research Triangle Park (1995)
Leva, A., Bascetta, L.: On the design of the feed-forward compensator in two-degree-of-freedom controllers. Mechatronics 16, 533–546 (2006)
Alfaro, V.M., Vilanova, R., Arrieta, O.: Robust tuning of Two-Degree-of-Freedom (2–DoF) PI/PID based cascade control system. J. Process Control 19, 1658–1670 (2009)
Cheng, Z., Yamada, K., Sakanushi, T., Murakami, I., Ando, Y., Nguyen, L.T., Yamamoto, S.: A design method for two–degree–of–freedom multi–period repetitive controllers for multiple–input/multiple–output systems. In: Preprints of 18th IFAC World Congress, Milano, Italy, pp. 5753–5758 (2011)
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.: Model-based design methods for speed control applications. Editura Politehnica, Timisoara (2008)
Peng, Y.Q., Luo, J., Zhuang, J.F., Wu, C.Q.: Model reference fuzzy adaptive PID control and its applications in typical industrial processes. In: Proceedings of IEEE International Conference on Automation and Logistics (ICAL 2008), Qingdao, China, pp. 896–901 (2008)
Preitl, Z., Levendovszky, T.: Computer aided design of two–degree–of–freedom (2DF) controllers. Scientific Bulletin of ”Politehnica” University of Timisoara Romania. Transactions on Automatic Control and Computer Science 48(62), 70–75 (2003)
Visioli, A.: Fuzzy logic based set–point weight tuning of PID controllers. IEEE Trans. Syst. Man. Cybern. A Syst. Humans 29, 587–592 (1999)
Shu, S.Q., Ding, X.Y., Wu, W., Ren, H.Y.: Application of a self–tuning two degree of freedom PID controller based on fuzzy inference for PMSM. In: Proceedings of International Conference on Electrical Machines and Systems (ICEMS 2008), Wuhan, China, pp. 1629–1632 (2008)
Precup, R.E., Preitl, S., Petriu, E.M., Tar, J.K., Tomescu, M.L., Pozna, C.: Generic two–degree–of–freedom linear and fuzzy controllers for integral processes. J. Franklin Inst. 346, 980–1003 (2009)
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)
Horowitz, I.M.: Synthesis of feedback systems. Academic Press, New York (1963)
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., Varkonyi–Koczy, 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)
Skrjanc, I., Blazic, S., Matko, D.: Direct fuzzy model–reference adaptive control. Int. J. Intell. Syst. 17, 943–963 (2002)
Johanyak, Z.C.: A brief survey and comparison on various interpolation based fuzzy reasoning methods. Acta Polytechnica Hungarica 3, 91–105 (2006)
Fodor, J., Rudas, I.J.: On continuous triangular norms that are migrative. Fuzzy Sets Systems 158, 1692–1697 (2007)
Blazic, S., Skrjanc, I., Matko, D.: Globally stable direct fuzzy model reference adaptive control. Fuzzy Sets Systems 139, 3–33 (2003)
Mihailovic, B., Pap, E.: Asymmetric general Choquet integrals. Acta Polytechnica Hungarica 6, 161–173 (2009)
Vascak, J., Madarasz, L.: Adaptation of fuzzy cognitive maps – a comparison study. Acta Polytechnica Hungarica 7, 109–122 (2010)
Johanyak, Z.C.: Student evaluation based on fuzzy rule interpolation. Int. J. Artif. Intell. 5, 37–55 (2010)
Linda, O., Manic, M.: Uncertainty-robust design of interval type–2 fuzzy logic controller for delta parallel robot. IEEE Trans. Ind. Informat. 7, 661–670 (2011)
Stinean, A.I., Preitl, S., Precup, R.E., Pozna, C., Dragos, C.A., Radac, M.B.: Speed and position control of BLDC servo systems with low inertia. In: Proceedings of 2nd International Conference on Cognitive Infocomunications (CogInfoCom 2011), Budapest, Hungary, p. 8 (2011)
Stinean, A.I., Preitl, S., Precup, R.E., Dragos, C.A., Radac, M.B.: 2–DOF control solutions for BLDC–m drives. In: Proceedings of IEEE 9th International Symposium on Intelligent Systems and Informatics (SISY 2011), Subotica, Serbia, pp. 29–34 (2011)
Baldursson, S.: BLDC motor modelling and control – A Matlab/Simulink implementation. M.Sc. Thesis, Institutionen for Energi och Miljo, Goteborg, Sweden (2005)
Nasar, S.A., Boldea, I.: Electric drives, 2nd edn. CRC Press, Taylor and Francis, New York (2005)
Boldea, I.: Advanced electric drives. PhD courses (2010-2011), ”Politehnica” University of Timisoara, Timisoara, Romania (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)
ECP: Industrial emulator/servo trainer model 220 system, testbed for practical control training, Bell Canyon, CA, USA. Educational Control Products (2010)
Preitl, S., Precup, R.E., Dragos, C.A., Radac, M.B.: Tuning of 2–DOF fuzzy PI (D) controllers laboratory applications. In: Proceedings of 11th International Conference on Computational Intelligence and Informatics (CINTI 2010), Budapest, Hungary, pp. 237–242 (2010)
Horvath, L., Rudas, I.J.: Modelling and solving methods for engineers. Academic Press, Burlington (2004)
Vascak, J.: Navigation of mobile robots using potential fields and computational intelligence means. Acta Polytechnica Hungarica 4, 63–74 (2007)
Dankovic, B., Nikolic, S., Milojkovic, M., Jovanovic, Z.: A class of almost orthogonal filters. J. Circ. Syst. Comp. 18, 923–931 (2009)
Iglesias, J.A., Angelov, P., Ledezma, A., Sanchis, A.: Evolving classification of agents’ behaviors: a general approach. Evolving Syst. 1, 161–171 (2010)
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)
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)
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)
Obradovic, D., Konjovic, Z., Pap, E., Rudas, I.J.: Linear fuzzy space based road lane model and detection. Know. Based Syst. (2012), doi:10.1016/j.knosys.2012.01.002
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Stinean, AI., Preitl, S., Precup, RE., Dragos, CA., Radac, MB. (2013). Classical and Fuzzy Approaches to 2–DOF Control Solutions for BLDC–m Drives. In: Pap, E. (eds) Intelligent Systems: Models and Applications. Topics in Intelligent Engineering and Informatics, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33959-2_10
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DOI: https://doi.org/10.1007/978-3-642-33959-2_10
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