Abstract
The presented paper exploits optimization and simulation tools of the MATLAB environment to design a robust control system in case of limitations on the controller’s manipulated variable. The design is based on the polynomial approach resulting in the pole-placement problem to be solved. This is addressed numerically by means of the standard MATLAB functions for nonlinear constrained optimization to meet both robustness of the designed loop and constraints on the control input. For this purpose, convenient performance criteria are suggested together with a procedure for the optimization. Presented results of constrained robust control for the AMIRA servo-system show potential of the suggested methodology.
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References
Stein, G.: Respect the unstable. IEEE Control Syst. Mag. 23(4), 12–25 (2003)
Saberi, A., Stoorvogel, A.A., Sannuti, P.: Control of Linear Systems with Regulation and Input Constraints. Springer, London (2000)
Glattfelder, A.H., Schaufelberger, W.: Control Systems with Input and Output Constraints. Springer, London (2003)
Camacho, E.F., Bordons, C.: Model Predictive Control. Springer, London (2004)
De Doná, J.A., Goodwin, G.C., Seron, M.M.: Anti-windup and model predictive control: reflections and connections. Eur. J. Control 6(5), 467–477 (2000)
Campo, P.J., Morari, M.: Robust control of processes subject to saturation nonlinearities. Comput. Chem. Eng. 14(4–5), 343–358 (1990)
Miyamoto, S., Vinnicombe, G.: Robust control of plants with saturation nonlinearity based on coprime factor representations. In: 35th IEEE Conference on Decision and Control, pp. 2838–2840. Japan (1996)
Huba, M.: Robust constrained PID control. In: International Conference Cybernetics and Informatics, pp. 1–18. Vyšná boca, Slovak Republic (2010)
Vozák, D., Veselý, V.: Stable predictive control with input constraints based on variable gain approach. Int. Rev. Autom. Control 7(2), 131–139 (2014)
Torchani, B., Sellami, A., Garcia, G.: Robust sliding mode control of class of linear uncertain saturated systems. Int. Rev. Autom. Control 6(2), 134–146 (2013)
Kučera, V.: Diophantine equations in control—a survey. Automatica 29, 1361–1375 (1993)
Hunt, K.J.: Polynomial methods in optimal control and filtering. Peter Peregrinus Ltd., London (1993)
Anderson, B.D.O.: From Youla-Kucera to identification, adaptive and nonlinear control. Automatica 34, 1485–1506 (1998)
Kučera, V.: The pole placement equation. A survey. Kybernetika 30(6), 578–584 (1994)
Bobál, V., Kubalčík, M., Chalupa, P., Dostál, P.: Self-tuning control of nonlinear servo system: comparison of LQ and predictive approach. In: 17th Mediterranaen Conference on Control and Automation, pp. 240–245. Thessaloniki, Greece (2009)
Roubal, J., Augusta, P., Havlena, V.: A brief introduction to control design demonstrated on laboratory model servo DR300—AMIRA. Acta Electrotechnica et Informatica 5(4), 1–6 (2005)
Gazdoš, F., Marholt, J.: Robust process control with saturated control input. In: 28th European Conference on Modelling and Simulation, pp. 285–291. Brescia, Italy (2014)
Gazdoš, F., Marholt, J.: Simulation approach to robust constrained control. Int. Rev. Autom. Control 7(5), 578–584 (2014)
Skogestad, S., Postlethwaite, I.: Multivariable Feedback Control: Analysis and Design. Wiley, Chichester (2005)
Coleman, T.F., Li, Y.: An interior, trust region approach for nonlinear minimization subject to bounds. SIAM J. Optim. 6, 418–445 (1996)
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Gazdos, F. (2016). Optimization of Closed-Loop Poles for Limited Control Action and Robustness. In: Abraham, A., Wegrzyn-Wolska, K., Hassanien, A., Snasel, V., Alimi, A. (eds) Proceedings of the Second International Afro-European Conference for Industrial Advancement AECIA 2015. Advances in Intelligent Systems and Computing, vol 427. Springer, Cham. https://doi.org/10.1007/978-3-319-29504-6_37
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DOI: https://doi.org/10.1007/978-3-319-29504-6_37
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