Abstract:

The uniform finitetime stability and feedback stabilization for a class of uncertain discretetime switched singular systems are studied based on the Lyapunovlike function approach and the linear matrix inequality (LMI). Firstly, supposing that the uncertain parameters are normbounded, a new sufficient condition which ensures uniform finitetime stabliling and finitetime bounded for the uncertain discretetime switched singular systems and state feedback controller is given with arbitrary switching signals. Then, an LMI problem is formulated and solved by the LMI toolbox in Matlab. Finally, an illustrative example shows the effectiveness of the proposed method.