AN EXACT TREATMENT OF THE ACHIEVABLE CLOSED-LOOP H-2 PERFORMANCE OF SAMPLED-DATA CONTROLLERS - FROM CONTINUOUS-TIME TO OPEN-LOOP

摘要

In this paper we investigate the closed-loop performance of a sampled-data control system by utilizing exact discretization techniques. In particular, for an H-2 performance measure we give exact expressions for the closed-loop cost for a given sample interval h. After applying discrete-time LQG synthesis to the sampled-data system, the achievable performance is evaluated for fast sampling near continuous time, h --> 0, and slow sampling near open loop, h --> infinity. Connections between the continuous-time Riccati equation for the analog control system and the discrete-time Riccati equation for the sampled-data system are investigated. Finally, several numerical examples are given to illustrate the convergence from sampled-data control to continuous-time control and open-loop. [References: 14]