Exponential stability and L2-gain analysis for sampled-data control of linear systems

This paper investigates the sampled-data control of linear systems under uncertain sampling period with the known upper bound on the sampling intervals. A novel time-dependent Lyapunov functional in the framework of the input delay approach is used in this paper, where the information of the actual sampling pattern can be fully taken into consideration. Some novel conditions are proposed to guarantee the closed-loop systems exponentially stable, by the derived conditions one can obtain the largest sampling interval and the values of minimum L2-gain. Two numerical examples illustrate the effectiveness of the obtained method and the improvement over some existing results.