TY - GEN
T1 - Robust control for a class of continuous-time dynamical systems with sample-data outputs
AU - Mera, Manuel
AU - Poznyak, Alex
AU - Azhmyakov, Vadim
AU - Fridman, Emilia
PY - 2009
Y1 - 2009
N2 - This paper addresses the problem of robust control for a class of nonlinear dynamical systems in the discretecontinuous time domain. We deal with nonlinear controllable models described by ordinary differential equations in the presence of bounded uncertainties. The full model of the control system under consideration is completed by linear samplingtype outputs. The linear feedback control design proposed in this manuscript is created by application of an extended version of the conventional invariant ellipsoid method. Moreover, we also apply some specific Lyapunov-based "descriptor techniques" from the stability theory of delayed systems. The above combination of the modified invariant ellipsoid approach and descriptor method make it possible to obtain the robustness of the designed control and to establish some well known stability properties of dynamical systems under consideration. Finally, the applicability of the proposed method is illustrated by a computational example. A brief discussion on the main implementation issue is also included.
AB - This paper addresses the problem of robust control for a class of nonlinear dynamical systems in the discretecontinuous time domain. We deal with nonlinear controllable models described by ordinary differential equations in the presence of bounded uncertainties. The full model of the control system under consideration is completed by linear samplingtype outputs. The linear feedback control design proposed in this manuscript is created by application of an extended version of the conventional invariant ellipsoid method. Moreover, we also apply some specific Lyapunov-based "descriptor techniques" from the stability theory of delayed systems. The above combination of the modified invariant ellipsoid approach and descriptor method make it possible to obtain the robustness of the designed control and to establish some well known stability properties of dynamical systems under consideration. Finally, the applicability of the proposed method is illustrated by a computational example. A brief discussion on the main implementation issue is also included.
UR - http://www.scopus.com/inward/record.url?scp=77949870496&partnerID=8YFLogxK
U2 - 10.1109/ICEEE.2009.5393420
DO - 10.1109/ICEEE.2009.5393420
M3 - Contribución a la conferencia
AN - SCOPUS:77949870496
SN - 9781424446896
T3 - 2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2009
BT - 2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2009
T2 - 2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2009
Y2 - 10 November 2009 through 13 November 2009
ER -