A signal reconstruction approach for control systems with unknown time-varying delays

Autor:	Silvia Mastellone, Mark W. Spong
Rok vydání:	2013
Předmět:	General Computer Science N dimensional Signal reconstruction Mechanical Engineering Linear system Constructive Nonlinear system Control and Systems Engineering Robustness (computer science) Problem of time Control theory Control system Electrical and Electronic Engineering Mathematics
Zdroj:	Systems & Control Letters. 62:1026-1031
ISSN:	0167-6911
DOI:	10.1016/j.sysconle.2013.07.009
Popis:	This work addresses the problem of time varying delays in systems and control. In the first part of the paper, we propose a processing scheme that allows reconstruction of a signal subject to time-varying delays. We show robustness of the scheme with respect to sensing and actuation noise. We obtain a necessary and sufficient result for stability of compensated scalar linear systems under constant time delay. Then we apply the scheme to a general n dimensional linear system subject to time-varying delay in the state feedback. We present sufficient conditions for stability of the closed loop system. These conditions provide a constructive procedure to design the compensation parameter to maximize the delay that the system can support, while remaining stable. Finally, we extend the scheme to delayed nonlinear systems and prove stability of the closed loop system for proper values of the control parameter.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::17e37b8be82c3590fd0c1fdd6cf4136d https://doi.org/10.1016/j.sysconle.2013.07.009 Zobrazit plný text záznamu Full Text from ScienceDirect