Robust control system design in frequency domain

• Autorzy: Veselý V , Osuský J
• Języki publikacji: EN

Abstrakty

EN

In this paper two robust control methods for hybrid system are presented. Both methods are usefull for SISO and MIMO systems. Controller design procedure is developed in frequency domain. Equivalent subsystem method is used for controller design in this paper. Stability condition of proposed methods bases on small gain theory and uses additive and inverse additive model type. Two tank water system is presented in the paper and serves as a numerical example to compare effectiveness of described methods.

Słowa kluczowe

EN

hybrid control; equivalent subsystem method; PI controller

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2013
• Tom: Vol. 23, no. 1
• Strony: 61--78
• Opis fizyczny: Bibliogr. 9 poz., rys., tab., wzory

Twórcy

autor

Veselý V

• Institute of Control and Industrial Informatics, Slovak University of Technology in Bratislava, Ilkovicova 3, 812 19 Bratislava The work on this paper is supported by VEGA 1/1105/11 and APVV-0211-10

autor

Osuský J

• Institute of Control and Industrial Informatics, Slovak University of Technology in Bratislava, Ilkovicova 3, 812 19 Bratislava The work on this paper is supported by VEGA 1/1105/11 and APVV-0211-10

Bibliografia

• [1] M. S. Branicky, V. S. Borkar and S. K. Mitter: A unified framework for hybrid control: model and optimal control theory. IEEE Trans. on Automatic Control, 43(1), (1998) 31-45.
• [2] C. Cai , R. Goebel and A. R. Teel: Smooth Lyapunov functions for hybrid systems, Part I: Existence is equivalent to robustness. IEEE Trans. on AutomaticControl, 52(7), (2007), 1264-1277.
• [3] R. Goebel and A.R. Teel: Solutions to hybrid inclusions via set and graphical konvergence with stability theory applications. Automatica, 42(4), (2006) 573-587.
• [4] A. Kozáková, V. Veselý , J. Osuský: A New Nyquist-based technique for tuning robust decentralized controllers. Kybernetika, 45(1), (2009), 63-83, ISSN 0023-5954.
• [5] D. Liberzon: Switching in systems and control. Birkhauser, 2003.
• [6] J. Lunze and F. L. Lagarrigue: Hanbook of hybrid systems control. Theory, tools, applications. Cambridge University Press, 2009.
• [7] J. Lygeros: On overview of research areas in hybrid systems control. Proc. of the44IEEE Conf. on Decission and Control and the European Control Conf., Spain, (2005), CDROM.
• [8] J. Malmborg: Analysis and design of hybrid control systems. Department of Automatic Control Lund Institute of Technology, Sweden, 1998, ISSN 0280-5316.
• [9] S. Skogestad And I. Postlethwaite: Multivariable feedback control: analysis and design. (3rd edn.), John Wiley & Sons., 1997.

Uwagi

EN

The work on this paper is supported by VEGA 1/1105/11 and APVV-0211-10