Title :
A control oriented approach to the time-discretization of delay systems
Author :
Celentano, Giuseppe ; Iervolino, Raffaele
Author_Institution :
Dipt. di Ing. Elettr. e Tecnol. dell´Inf., Univ. of Napoli, Naples, Italy
Abstract :
There are many examples of systems with delays, mainly due to transport phenomena, to the information transmission, to the calculation time of the integration digital devices, and so on. These systems, being infinite dimensional, are very difficult to analyze and to control. If they are forced by piecewise constant signals in time ranges of appropriate constant amplitude, such systems can be modeled by finite dimensional discrete-time systems. In this paper, theorems are stated that allow discretizing an LTI system with state, input and output delays, with an appropriate sampling period. A method is also proposed for the design of reduced order discrete-time controllers that allow assigning a set of arbitrary poles to the overall system. The accuracy of the discrete-time models and the effectiveness of the proposed controllers are illustrated by two interesting examples.
Keywords :
control system synthesis; delay systems; discrete time systems; linear systems; multidimensional systems; reduced order systems; LTI system; arbitrary poles; constant amplitude; control oriented approach; delay systems; finite dimensional discrete-time systems; infinite dimensional systems; information transmission; input-output delays; integration digital devices; linear time invariant system; piecewise constant signals; reduced order discrete-time controller design; sampling period; time-discretization; transport phenomena; Accuracy; Continuous time systems; Delays; Discrete-time systems; Interpolation; Linear approximation;
Conference_Titel :
Control and Automation (MED), 2014 22nd Mediterranean Conference of
Conference_Location :
Palermo
Print_ISBN :
978-1-4799-5900-6
DOI :
10.1109/MED.2014.6961504
