Robust H∞ control for time‐delay networked control systems with probability constraints. Issue 16 (1st October 2015)

• Record Type: Journal Article
• Authors: Wang, Shuo; Yu, Mei; Sun, Ximing
• Is Part Of: IET control theory & applications. Volume 9:Issue 16(2015)
• Page Start: 2482
• Page End: 2489
• Publication Date: 2015-10-01
• Subjects: robust control -- H∞ control -- delay systems -- delays -- networked control systems -- distributed parameter systems -- uncertain systems -- approximation theory -- control system synthesis -- probability -- linear matrix inequalities; robust H∞ control -- time‐delay networked control systems -- NCS -- probability constraints -- probability‐guaranteed H∞ control -- time‐varying networked‐induced delays -- polytopic uncertainty -- approximation method -- real Jordan form -- system uncertainty -- parameter hyper‐rectangle box -- disturbance attenuation level -- uniformity principle -- controller synthesis problem -- probabilistic requirement -- bilinear matrix inequalities -- uniform distribution; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2015.0143
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : 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.