Analysis and Design of Sampled-Data Control Systems Based on Stable Factorizations of Modified Pulse Transfer Functions

Abstract

This paper presents a new approach to analysis and design of multivariable sampled-data control systems. First, exploiting the modified pulse transfer function representation, we show that the factorization approach is useful to characterize all the admissible intersample output behavior in sampled-data control systems. Second, we give a solution to the l₂/L₂-induced norm optimization problem, where continuous time behavior of sampled-data systems is taken into account. Then, we apply these results to the model-matching problem to show the validity of our method by simulation.