Open AccessDesign of controllers for hybrid linear systems with impulsive inputs and periodic jumps
Author(s) -
Menini Laura,
Possieri Corrado,
Tornambè Antonio
Publication year - 2019
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2018.5594
Subject(s) - control theory (sociology) , interfacing , hybrid system , lti system theory , controller (irrigation) , computer science , linear system , control engineering , mathematics , control (management) , engineering , mathematical analysis , agronomy , machine learning , artificial intelligence , computer hardware , biology
In this study, the problem of designing a controller for a hybrid system with impulsive input and periodic jumps is addressed. In particular, it is shown that any hybrid system with impulsive inputs and periodic jumps can be recast into a discrete‐time, linear, time‐invariant system, which, in turn, can be used to design a controller by using classical methods. Furthermore, it is shown that, once such a controller has been designed, it can be readily used to control the hybrid system by mean of an interfacing system that is based just on the continuous‐time dynamics of the plant to be controlled. Several examples, spanning from aerospace to biomedical applications, are reported in order to corroborate the theoretical results.