On the Sampling and the Performance Comparison of Controlled LTI Systems

Abstract

In this paper, the impact of the discretization techniques and the sampling time, on the finite-time stabilization of sampled-data controlled Linear Time Invariant (LTI) systems, is investigated. To stabilize the process in finite time, a discretetime feedback dead-beat controller is designed for the sampleddata system. Checkable conditions on the approximate discretetime plant model and the associated controller that guarantee the finite-time stabilization of the exact model are developed. The trade-off between the discretization technique, the sampling time and the desired performances is illustrated and discussed. Results are presented through a case study.

Archives of Electrical Engineering

“…To investigate the relative stability, the phase response should be taken into account. By assuming the phase response of Arduino-based lead compensators are nearly identical to that of the analog type, it is likely to maintain or increase the relative stability of the compensated systems [41].…”