On polytopic inclusions as a modeling framework for systems with time-varying delays

One of the important issues in networked control systems is the appropriate handling of the nonlinearities arising from uncertain time-varying delays. In this paper, using the Cayley-Hamilton theorem, we develop a novel method for creating discrete-time models of linear systems with time-varying input delays based on polytopic inclusions. The proposed method is compared with existing approaches in terms of conservativeness, scalability and suitability for controller synthesis. Key words: Time-varying input delay; Polytopic inclusions; Networked control systems.

• Type: Journal
• Year: 2010
• Where: AUTOMATICA
• Authors: Rob H. Gielen, Sorin Olaru, Mircea Lazar, W. P. M. H. Heemels, Nathan van de Wouw, Silviu-Iulian Niculescu
• Keywords: AUTOMATICA 2007, AUTOMATICA 2010, Input Delay, Networked Control Systems, Uncertain Time-varying Delays