Premium
Self‐triggered state‐feedback control of linear plants under bounded disturbances
Author(s) -
Almeida J.,
Silvestre C.,
Pascoal A.M.
Publication year - 2014
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3138
Subject(s) - bounded function , control theory (sociology) , a priori and a posteriori , state (computer science) , computer science , controller (irrigation) , control (management) , sampling (signal processing) , linear system , interval (graph theory) , mathematical optimization , mathematics , algorithm , artificial intelligence , mathematical analysis , philosophy , epistemology , filter (signal processing) , combinatorics , agronomy , computer vision , biology
Summary This paper addresses the problem of self‐triggered state‐feedback control for linear plants under bounded disturbances. In a self‐triggered scenario, the controller is allowed to choose when the next sampling time should occur and does so based on the current sampled state and on a priori knowledge about the plant. Besides comparing some existing approaches to self‐triggered control available in the literature, we propose a new self‐triggered control strategy that allows for the consideration of model‐based controllers, a class of controllers that includes as a special case static controllers with a zero‐order hold of the last state measurement. We show that our proposed control strategy renders the solutions of the closed‐loop system globally uniformly ultimately bounded. We further show that there exists a minimum time interval between sampling times and provide a method for computing a lower bound for it. An illustrative example with numerical results is included in order to compare the existing strategies and the proposed one. Copyright © 2014 John Wiley & Sons, Ltd.