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Unified Robust Gain-Scheduled and Switched Controller Design for Linear Continuous-Time Systems


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DOI: https://doi.org/10.15866/ireaco.v8i3.6277

Abstract


In this paper we study the problem how to obtain a new unified procedure to design a robust gain-scheduled and switched controller for continuous-time systems described by a novel robust plant model using the parameter dependent quadratic stability (PDQS) approach. In the proposed design procedure with output feedback a novel quadratic cost function is proposed which allows to obtain different performance dependence on the working points. Finally a numerical example is investigated
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Keywords


Gain-Scheduled Controller; Switched System; Robust Controller; Output Feedback; Parameter Dependent Quadratic Stability

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References


J. Lunze, F. Lamnabhi-Lagarrigue, Handbook of Hybrid Systems Control: Theory, Tools, Applications (Cambridge University Press, 2009).
http://dx.doi.org/10.1017/cbo9780511807930

M. S. Branicky, V. S. Borkar, S. K. Mitter, A unified framework for hybrid control: model and optimal control theory, IEEE Transactions on Automatic Control, Vol. 43(Issue 1):31-45, January 1998.
http://dx.doi.org/10.1109/9.654885

D. Liberzon, Switching in Systems and Control. Systems & Control: Foundations & Applications (Birkhäuser Boston, 2003).
http://dx.doi.org/10.1007/978-1-4612-0017-8

J. Lygeros, An Overview of Research Areas in Hybrid Control, 44th IEEE Conference on Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05, pp. 5600-5605, 2005.
http://dx.doi.org/10.1109/cdc.2005.1583054

H. Lin, P. Antsaklis, Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results, IEEE Trans. on AC, Vol. 54(Issue 2):308-322, 2009.
http://dx.doi.org/10.1109/tac.2008.2012009

J. Geromel, P. Colaneri, Stability and Stabilization of Continuous-Time Switched Linear Systems, SIAM Journal on Control and Optimization, Vol. 45(Issue 5):1915-1930, 2006.
http://dx.doi.org/10.1137/050646366

L. I. Allerhand, U. Shaked, Robust Stability and Stabilization of Linear Switched Systems With Dwell Time, IEEE Transactions on Automatic Control, Vol. 56(Issue 2):381-386, February 2011.
http://dx.doi.org/10.1109/tac.2010.2097351

L. Zhao, X. Zhang, M. Lin, Stability of switched positive linear systems with average dwell time switching. Automatica, Vol. 48(Issue 10):1132-1137, 2012.
http://dx.doi.org/10.1016/j.automatica.2012.03.008

R. Guo, Y. Wang, Stability analysis for a class of switched linear systems, Asian Journal of control, Vol. 14(Issue 3):817-826, 2012.
http://dx.doi.org/10.1002/asjc.365

M. Cao, A. S. Morse, Dwell-time switching, Systems and Control Letters, Vol. 59(Issue 1):57-65, 2010.
http://dx.doi.org/10.1016/j.sysconle.2009.11.007

D. J. Leith, W. E. Leithead, Survey of Gain-Scheduling analysis and design, International Journal of Control, Vol. 73(Issue 11):1001-1025, 2000.
http://dx.doi.org/10.1080/002071700411304

W. J. Rugh, J. S. Shamma, Research on gain scheduling: Survey paper, Automatica, Vol. 36(Issue 7):1401-1425, 2000.
http://dx.doi.org/10.1016/s0005-1098(00)00058-3

V. Veselý, A. Ilka, Gain-scheduled PID controller design, Journal of Process Control, Vol. 23(Issue 8):1141-1148, September 2013.
http://dx.doi.org/10.1016/j.jprocont.2013.07.002

V. Rosinová, D. Veselý, V. Kučera, A necessary and sufficient conditions for static output feedback stabilizibility of linear discrete-time systems, Kybernetika, Vol. 39(Issue 4):447-459, 2003.

V. M. Kuncevic, M. M. Lycak, Control System Design using Lyapunov Function Approach (Nauka, Moskau, 1977 in Russian, 1977).


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