In the control theory one attempts to find a controller
that provides the best possible performance with respect to some
given measures of performance. There are many sorts of controllers
e.g. a typical PID controller, LQR controller, Fuzzy controller etc. In
the paper will be introduced polynomial controller with novel tuning
method which is based on the special pole placement encoding
scheme and optimization by Genetic Algorithms (GA). The examples
will show the performance of the novel designed polynomial
controller with comparison to common PID controller.
[1] Aström, K. J., Bernardson,, B., Ringdhal, A.: Solution using robust
adaptive pole placement. In: Proc. European Control Conference
(ECC-91), Grenoble 1991, pp. 1341-2346
[2] Aström, K. J., Wittenmark, B.: Computer Controlled Systems, Theory
and Design. Prentice Hall, Englewood Cliffs, N.J. 1990
[3] D Goldberg, "Genetic Algorithm. in Search, Optimization and Machine
Learning", Addison-Wesley Longman Publishing Co., Inc. Boston, MA,
USA, 1989.
[4] R. Grepl. J. Vejlupek. V. Lambersky. M. Jasansky. F. Vadlejch. P.
Coupek. P. "Development of 4WS/4WD Experimental Vehicle: platform
for research and education in mechatronics". IEEE International
Conference on Mechatronics. ICM 2011-13-15, 2011.
[5] T. Gusner, J. Adamy, "Controller Design for polynomial Systems with
Input Constraints", In Joint 48th IEEE Conference on Decision Control
and 28th Chinese Control Conference, Schanghai, P.R.China, 2009.
[6] Z. Oplatkova, R. Senkerik, I. Zelinka, "Synthesis of Control Rule for
Synthesized Chaotic System by means of Evolutionary Techniques", in
16th Int. Conference on Soft Computing, pp.91-98, Brno, 2010.
[7] R. Matousek, "GAHC, Improved Genetic Algorithm", in the Springer
book series (Eds.: Krasnogor, et al.) Nature Inspired Cooperative
Strategies for Optimization (NICSO 2007), Volume 129, 2008, XIV, pp.
114-125., ISSN 1860-949X, Springer Berlin, 2008.
[8] P. Pivonka, V. Veleba, M. Seda, P. Osmera, R. Matousek, "The short
Sampling Period in Adaptive Control", in Proc. of the IAENG Int.
conference WCECS 2009, pp.724-729, San Francisco, 2009.
[1] Aström, K. J., Bernardson,, B., Ringdhal, A.: Solution using robust
adaptive pole placement. In: Proc. European Control Conference
(ECC-91), Grenoble 1991, pp. 1341-2346
[2] Aström, K. J., Wittenmark, B.: Computer Controlled Systems, Theory
and Design. Prentice Hall, Englewood Cliffs, N.J. 1990
[3] D Goldberg, "Genetic Algorithm. in Search, Optimization and Machine
Learning", Addison-Wesley Longman Publishing Co., Inc. Boston, MA,
USA, 1989.
[4] R. Grepl. J. Vejlupek. V. Lambersky. M. Jasansky. F. Vadlejch. P.
Coupek. P. "Development of 4WS/4WD Experimental Vehicle: platform
for research and education in mechatronics". IEEE International
Conference on Mechatronics. ICM 2011-13-15, 2011.
[5] T. Gusner, J. Adamy, "Controller Design for polynomial Systems with
Input Constraints", In Joint 48th IEEE Conference on Decision Control
and 28th Chinese Control Conference, Schanghai, P.R.China, 2009.
[6] Z. Oplatkova, R. Senkerik, I. Zelinka, "Synthesis of Control Rule for
Synthesized Chaotic System by means of Evolutionary Techniques", in
16th Int. Conference on Soft Computing, pp.91-98, Brno, 2010.
[7] R. Matousek, "GAHC, Improved Genetic Algorithm", in the Springer
book series (Eds.: Krasnogor, et al.) Nature Inspired Cooperative
Strategies for Optimization (NICSO 2007), Volume 129, 2008, XIV, pp.
114-125., ISSN 1860-949X, Springer Berlin, 2008.
[8] P. Pivonka, V. Veleba, M. Seda, P. Osmera, R. Matousek, "The short
Sampling Period in Adaptive Control", in Proc. of the IAENG Int.
conference WCECS 2009, pp.724-729, San Francisco, 2009.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:50443", author = "R. Matousek and S. Lang and P. Minar and P. Pivonka", title = "Evolutionary Design of Polynomial Controller", abstract = "In the control theory one attempts to find a controller
that provides the best possible performance with respect to some
given measures of performance. There are many sorts of controllers
e.g. a typical PID controller, LQR controller, Fuzzy controller etc. In
the paper will be introduced polynomial controller with novel tuning
method which is based on the special pole placement encoding
scheme and optimization by Genetic Algorithms (GA). The examples
will show the performance of the novel designed polynomial
controller with comparison to common PID controller.", keywords = "Evolutionary design, Genetic algorithms, PID controller, Pole placement, Polynomial controller", volume = "5", number = "11", pages = "2131-6", }