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Języki publikacji
Abstrakty
In this paper we study a novel approach to the design of a robust switched controller for continuous-time systems described by a novel robust plant model using quadratic stability and multi parameter dependent quadratic stability approaches. In the proposed design procedure with an output feedback a novel quadratic cost function is proposed which allows to obtain different performance dependence on the working points. Finally a numerical examples are investigated.
Czasopismo
Rocznik
Tom
Strony
401--416
Opis fizyczny
Bibliogr. 11 poz., rys., wzory
Twórcy
autor
- Department of Signals and Systems, Chalmers University of Technology, Göteborg SE-412 96, Sweden
autor
- Institute of Robotics and Cybernetics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Ilkovicova 3, 812 19 Bratislava
Bibliografia
- [1] J. Lunze and F. Lamnabhi-Lagarrigue: Handbook of Hybrid Systems Control: Theory, Tools, Applications. Cambridge University Press, 2009.
- [2] R. Goebel and A. R. Teel: Solutions to hybrid inclusions via set and graphical convergence with stability theory applications. Automatica, 42(4), (2006), 573-587.
- [3] 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.
- [4] D. Liberzon: Switching in Systems and Control. Systems & Control: Foundations & Applications. Birkhäuser Boston, 2003.
- [5] T. Soga and N. Otsuka: Quadratic stabilizability for polytopic uncertain continuous- time switched linear systems by output feedback. American Control Conference (ACC), 2010, 3920-3925.
- [6] V. Veselý and D. Rosinová: Robust MPC controller design for switched systems using multi-parameter dependent Lyapunov function. Int. J. of Innovative Computing, Information and Control (IJICIC), 10(1), (2014), 269-280.
- [7] J. Lygeros: An Overview of Research Areas in Hybrid Control. 44th IEEE Conf. on Decision and Control and 2005 European Control Conf. (CDC-ECC’05.), (2005), 5600-5605.
- [8] J. Geromel and P. Colaneri: Stability and stabilization of continuous-time switched linear systems. SIAM J. on Control and Optimization, 45(5), (2006), 1915-1930.
- [9] L. I. Allerhand and U. Shaked: Robust stability and stabilization of linear switched systems with Dwell Time. IEEE Trans. on Automatic Control, 56(2), (2011), 381-386.
- [10] V. M. Kuncevič and M. M. Lyčak: Control System Design using Lyapunov Function Approach. Nauka, Moskva, 1977, (in Russian).
- [11] M. S. Branicky. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Trans. on Automatic Control, 43(4), (1998), 475-482.
Typ dokumentu
Bibliografia
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