On output feedback stabilization for linear impulsive systems

In this paper, we address an output feedback stabilization problem for a class of linear impulsive systems. In particular, we establish that recently developed notions of stabilizability and detectability are together necessary and sufficient for stabilization by output feedback and further provide a Youla-type parameterization of all stabilizing compensators.

[1]  Bengt Lennartson,et al.  H∞ Control of Multirate Sampled-Data Systems: A State-Space Approach , 1998, Autom..

[2]  Shuzhi Sam Ge,et al.  Dynamic output feedback stabilization of a class of switched linear systems , 2003 .

[3]  D. Lawrence.  Stabilizability of linear impulsive systems , 2011, Proceedings of the 2011 American Control Conference.

[4]  P. Khargonekar,et al.  H∞ control and filtering for sampled-data systems , 1993, IEEE Trans. Autom. Control..

[5]  Enrique A. Medina,et al.  State feedback stabilization of linear impulsive systems , 2009, Autom..

[6]  Enrique A. Medina.  Linear Impulsive Control Systems: A Geometric Approach , 2007 .

[7]  W. Rugh.  Linear System Theory , 1992 .

[8]  J. Doyle,et al.  Essentials of Robust Control , 1997 .

[9]  Wai-Chuen Gan.  Robust and optimal control of AC machines , 2001 .

[10]  C. Desoer,et al.  Feedback system design: The fractional representation approach to analysis and synthesis , 1979, 1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[11]  Douglas A. Lawrence.  Duality properties of linear impulsive systems , 2010, 49th IEEE Conference on Decision and Control (CDC).

[12]  Hannu T. Toivonen,et al.  Optimal H∞ and LQG Control of Asynchronous Sampled Data Systems , 1996 .

[13]  P. Kabamba.  Control of Linear Systems Using Generalized Sampled-Data Hold Functions , 1987, 1987 American Control Conference.

[14]  Enrique A. Medina,et al.  Feedback-reversibility and reachability of linear impulsive systems , 2010, Autom..

[15]  Hannu T. Toivonen,et al.  H∞ and LQG control of asynchronous sampled-data systems , 1997, Autom..

[16]  Enrique A. Medina,et al.  State estimation for linear impulsive systems , 2009, 2009 American Control Conference.

[17]  J. Doyle,et al.  Stabilization of LFT systems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[18]  Dante C. Youla,et al.  Modern Wiener--Hopf design of optimal controllers Part I: The single-input-output case , 1976 .

[19]  Pramod P. Khargonekar,et al.  Detectability and Stabilizability of Discrete-Time Switched Linear Systems , 2009, IEEE Transactions on Automatic Control.

[20]  Dante C. Youla,et al.  Modern Wiener-Hopf Design of Optimal Controllers. Part I , 1976 .

[21]  S. Ge,et al.  Switched Linear Systems: Control and Design , 2005 .

[22]  Enrique A. Medina,et al.  Reachability and observability of linear impulsive systems , 2008, Autom..