TY - GEN
T1 - On the simultaneous stabilization of discrete time systems
AU - Saif, Abdul Wahid A.
PY - 2013
Y1 - 2013
N2 - In this paper, the simultaneous stabilization problems for a collection of discrete-time systems is considered. Sufficient conditions for the existence of static output feedback, dynamic output feedback and observer based feedback controllers that simultaneously stabilizing a set of discrete time systems is obtained. Finally and H∞ observer based control problem is formulated. All sufficient conditions are formulated as solution of an LMI problem. In the formulation of the LMI problems, the concept of matrix spectral norm and Lyapunov function is used.
AB - In this paper, the simultaneous stabilization problems for a collection of discrete-time systems is considered. Sufficient conditions for the existence of static output feedback, dynamic output feedback and observer based feedback controllers that simultaneously stabilizing a set of discrete time systems is obtained. Finally and H∞ observer based control problem is formulated. All sufficient conditions are formulated as solution of an LMI problem. In the formulation of the LMI problems, the concept of matrix spectral norm and Lyapunov function is used.
KW - Discrete Time Systems
KW - Linear Matrix Inequality
KW - Output feedback
KW - Simultaneous Stabilization
KW - Uncertain Systems
UR - https://www.scopus.com/pages/publications/84883094465
U2 - 10.1109/SSD.2013.6564108
DO - 10.1109/SSD.2013.6564108
M3 - Conference contribution
AN - SCOPUS:84883094465
SN - 9781467364584
T3 - 2013 10th International Multi-Conference on Systems, Signals and Devices, SSD 2013
BT - 2013 10th International Multi-Conference on Systems, Signals and Devices, SSD 2013
ER -