Abstract
This article presents the design of robust control system for the Ball and Beam system, as well as the comparison of their performances with classic control techniques. Two controllers were designed based on Algebraic Riccati Equations for the synthesis of H2 and H∞ controllers and a third one based on Linear Matrix Inequalities techniques for the design of H∞ controllers. The results show that H∞ controllers offer better performance.
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References
Morari, M., Zafiriou, E.: Robust Process Control. Prentice-Hall, Estados Unidos de América (1989)
Paganini, F.: A Course in Robust Control Theory. A Convex Approach. Springer, New York (1999)
Scherer, C.: Theory of Robust Control. Delft University of Technology, Delft (2001)
Skogestad, S., Postlethwaite, I.: Multivariable Feedback Control: Analysis and Design, Second edn. Wiley, Chichester, UK (2001)
Zhou, K.: Essentials of Robust Control. Prentice-Hall, New Jersey (1998)
Dorf, Richard C. and Bishop, Robert H.: Modern Control Systems, 10th edn. Prentice Hall (2004)
Quanser: SRV02-Series. Rotary Experiment # 3. Ball and Beam. User Manual
Quanser; SRV02-Series. Rotary Experiment # 3. Ball and Beam. Student Handout
Quanser: SRV02-Series. Rotary Experiment # 1. Position Control. Student Handout
Boyd, S., Feron, E.: Linear Matrix Inequalities in System and Control Theory. Siam, Stanford, California (1994)
Gahinet, P.: Explicit Controller Formulas for LMI-based H∞ Synthesis. Automatica, vol. 32, no. 7, pp. 1007–1014. Elsevier Science Ltda, Great Britain (1995)
Scherer, C., Weiland, S.: Linear Matrix Inequalities in Control, 3ª Version (2000)
Jiménez-Cabas, J., et al.: Robust control of an evaporator through algebraic Riccati equations and D-K iteration. In: Misra, S., et al. (eds.) ICCSA 2019. LNCS, vol. 11620, pp. 731–742. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-24296-1_58
Misra, S., et al. (eds.): ICCSA 2019. LNCS, vol. 11619. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-24289-3
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Jiménez-Cabas, J., Meléndez-Pertuz, F., Díaz-Charris, L.D., Collazos-Morales, C., González, R.E.R. (2020). Robust Control of the Classic Dynamic Ball and Beam System. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2020. ICCSA 2020. Lecture Notes in Computer Science(), vol 12251. Springer, Cham. https://doi.org/10.1007/978-3-030-58808-3_11
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DOI: https://doi.org/10.1007/978-3-030-58808-3_11
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