Numerical Optimization of PID-Regulator for Object with Distributed Parameters

Vadim Zhmud, Alexander Liapidevskii, Boris Pyakillya

Abstract


The control of dynamic objects is very important for technologies and technical sciences. The difficulty of the control depends on the complexity of object mathematical model. Objects with distributed parameters are most difficult for control with feedback loop. The mathematical model of such object is much more complicated. There are two method of calculating regulator. The first method is analytical calculation of the coefficients. It can be used only for relatively simple object. The second method is numerical optimization. It can be used even with complex object. But object with distributed parameters has such complex model that in this case the use of the method of numerical optimization is a difficult problem. Only approximate model of such object can be used for the optimization with the help of the simulation program. Newest results in numerical optimization are based on some specific cost functions. Various composite cost functions are effective tools for regulator calculation. But even these tools are not sufficient. The paper researches possibilities of the use of approximate mathematical model of objects with distributed parameters and various cost functions, including new ideas, for the calculation of the regulator for system with such object. With all known methods, it was impossible to reduce the overshooting less than 22%. The proposed new cost function allows reducing of the overshoot to a value of about 11%, which is be preferred for many applications. The proposed method adds an arsenal of techniques of control of complex dynamic objects.

Keywords


Feedback Control; Objects with Delay Link; Object with Distributed Parameters; Regulator Numerical Optimization; Suppress of Overshooting;

Full Text:

PDF

References


Zhmud V. A. Modelirovanie, Issledovanie I Optimizacija Zamknutyh Sistem Avtomaticheskogo Upravlenija. Monografija. Novosibirsk, Izd-vo NGTU, 2012. – 335 s.

Zhmud V. A. Modelirovanie, Issledovanie I Optimizacija Zamknutyh Sistem Avtomaticheskogo Upravlenija. Monografija. Novosibirsk, Izd-vo NGTU, 2012. – 335 s.

Zhmud V.A., Zavorin A.N. Struktura Modeli Dlja Optimizacii Sistemy S Obratnoj Svjaz'ju. Patent RF RU 2554291 C1. Opubl. 27.06.2015. Bjull. № 18.

V.A. Zhmud, L.V. Dimitrov, O.D. Zavorin. Calculation of Regulators for The Problems Of Mechatronics By Means Of Numerical Optimization Method. 2014. 12th International Conference on Actual Problems of Electronic Instruments Engineering (APEIE) 34006. Proceedings. Novosibirsk. 2014. Vol.1. P. 739 – 744.

Vadim A. Zhmud, Dashi B. Imekov, Kirill Yu. Lastochkin and Anna V. Lukicheva. New Structure of Regulator for Controlling of Object with Oscillation Features and its Modelling Testing. Proceedings of International Conference on Engineering and Applied Sciences Optimization (OPT-i-2014). Kos Island, Greece, 4-6 June 2014.

Vadim Zhmud. New Modeling Tested Method for Controlling of Object with Oscillation Features. Proceeding of 2014 International Conference on Mechanical Design, Manufacture and Automation Engineering (MDMAE 2014). ISBN: 978-1-60595-156-0. Thailand, Phuket. Part II. .P.289 – 296.

Zhmud V.A., Zavorin A.N. Metodi di ottimizzazione del controllo numerico su una modelli troncati. Italian Science Review. 2014; 4(13). PP. 686-689. Available at URL: http://www.iasjournal.org/archive/2014/april/Zhmud.pdf and URL: http://www.iasjournal.org/archives/april-2014

V. Zhmud, A. Zavorin. Fractional order PID-regulators and method of their simplification with the increase of the controlling effect. Proceedings Of The 8-Th International Forum On Strategic Technology 2013 (IFOST-2013), vol. II, 28 June – 1 July. Mongolian University of Science and Technology, Ulaanbaator, Mongolia. IEEE organized. 2013. P. 250 – 255. http://www.must.edu.mn/IFOST2013/

V. Zhmud, O. Yadrishnikov. Numerical optimization of PID-regulators using the improper moving detector in cost function. Proceedings Of The 8-Th International Forum On Strategic Technology 2013 (IFOST-2013), vol. II, 28 June – 1 July. Mongolian University of Science and Technology, Ulaanbaator, Mongolia. IEEE organized. 2013. P. 265–270. http://www.must.edu.mn/IFOST2013/

Russian Foundation for Basic Research, URL; http://www.rfbr.ru/rffi/eng.


Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

ISSN: 2180-1843

eISSN: 2289-8131