Nonlinearity compensation for two-zone energy-shaping control systems of DC drive

Roman Biletskyi1 roman.biletskyi.em.2014 [at] lpnu.ua
Yurii Biletskyi1 biletskyi.y.o [at] gmail.com
  1. Electromechatronics and computerized electromechanical systems, Lviv Polytechnic National University, Ukraine, Lviv, S. Bandery street 12.
Abstract 

DC machines are the keystone of world industry. Working in second zone they behave as nonlinear objects. One of the newest methods of control system design for such machine as a part of electromechanical systems are energybased approaches. Energy-shaping control systems based on simplified model don’t work in second zone and the use of accurate model leads to many complications. This article contains description and comparative researches of proposed nonlinearity compensators that allows to use simplified control system. It was shown that reference signal corrector provides highly effective control, but there are still many possibilities to increase energy-shaping system’s efficiency.

References 

[1] C. Battle, A. Doria “Modeling and control of electromechanical systems” Lectures for the II EURON/GEOPLEX, Summer School on Modeling and Control of Complex Dynamical Systems vol. 7, n.3, pp. 40-41. 2005. 

[2] R. Ortega, A. J. van der Schaft, I. Mareels, B. Maschke, “Putting Energy Back in Control“, IEEE Contr. Syst. Mag., vol. 21, n. 2, pp. 18-33,  2001.

[3] R. Ortega, A. J. van der Schaft, F. Castanos, A. Astolfi, “Control by Interconnection and Standard Passivity-Based Control of Port-Hamiltonian Systems”, IEEE Trans. Aut. Control., vol. 53, n.11, pp. 2527-2542, 2008.

[4] Z. Zou., Н. Yu, Y. Tang, “Maximum output power of PMSM based on energy-shaping and PWM control principle”, IEEE Intr. Conf. on Aut. and Log., 1556– 1560., 2008.

[5] Y. О. Biletskyi and R. О. Biletskyi, “Enerhoformuiuche keruvannia neliniinymy systemamy na prykladi dvozonnoho elektropryvodu postiinoho strumu” [“Energy-shaping control of nonlinear systems with two-zone direct-current electric drive with saturation as example”], Visnyk Natsionalnoho universytetu “Lvivska politekhnika” – Lviv Polytechnic National University Journal, 2017 (Ukrainian, in print).

[6] Z. Gajic, Linear Dynamic Systems and Signals. N.J: Prentice-Hall, 2003.