Open AccessRobust H ∞ control for time‐delay networked control systems with probability constraints
Author(s) -
Wang Shuo,
Yu Mei,
Sun Ximing
Publication year - 2015
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.2015.0143
Subject(s) - control theory (sociology) , probabilistic logic , probability distribution , mathematics , controller (irrigation) , control system , set (abstract data type) , robust control , networked control system , attenuation , control (management) , computer science , mathematical optimization , engineering , statistics , physics , electrical engineering , optics , artificial intelligence , agronomy , biology , programming language
In this study, the probability‐guaranteed H ∞ control of networked control systems (NCSs) with time‐varying networked‐induced delays is addressed. The time‐varying delays are modelled as polytopic uncertainty by a new approximation method based on real Jordan form. The system uncertainty lies in a parameter hyper‐rectangle box which can shrink, i.e. the probability can be less than one with a better disturbance attenuation level. By the uniformity principle and the one‐to‐one correspondence between the time delays and the vertices of polytopic system, a sufficient condition for the NCS to achieve prescribed performance with a given probability is derived. The controller synthesis problem is also proposed to meet the probabilistic requirement by solving a set of bilinear matrix inequalities iteratively. A uniform distribution is assumed for all the delays and thus the maximal probability guaranteeing the given performance can be calculated.