Standardizability and H-2-Optimization of Sampled-Data Systems with Multiple Delays

摘要

This paper introduces the concept of generalized standard sampled-data systems with delay S-g and considers a class of multidimensional sampled-data systems that are equivalent to a certain system S-g. Such systems are called standardizable. Necessary and sufficient standardizability conditions are established. For the system S-g and standardizable systems, the H-2-optimization problem is solved using the Wiener-Hopf method. As demonstrated below, the H-2-optimization problem for a standardizable system with multiple delays is reduced to a similar problem for a standard system with single delay, which significantly simplifies calculations and qualitative analysis of the H-2-optimal system.