Robustness of a discrete-time predictor-based controller for time-varying measurement delay

A predictor-based controller for time-varying delay systems is presented in this paper and its robustness properties for different uncertainties are analyzed. First, a time-varying delay dependent stability condition is expressed in terms of LMIs. Then, uncertainties in the knowledge of all plant-mo...

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Bibliographic Details
Authors: Gonzalez, A., Castillo, P, García Gil, Pedro José|||0000-0002-1202-1269, Albertos Pérez, Pedro, Lozano, R.
Format: article
Publication Date:2012
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/33923
Online Access:https://riunet.upv.es/handle/10251/33923
Access Level:Open access
Keyword:Digital implementation
Discrete-predictor
Linear matrix inequality (LMI)
Robust stability
Time-varying delay
Controllers
Helicopter rotors
Linear matrix inequalities
Robustness (control systems)
Uncertainty analysis
Time varying control systems
INGENIERIA DE SISTEMAS Y AUTOMATICA
Description
Summary:A predictor-based controller for time-varying delay systems is presented in this paper and its robustness properties for different uncertainties are analyzed. First, a time-varying delay dependent stability condition is expressed in terms of LMIs. Then, uncertainties in the knowledge of all plant-model parameters are considered and the resulting closed-loop system is shown to be robust with respect to these uncertainties. A significant improvement with respect to the same control strategy without predictor is achieved. The scheme is applicable to open-loop unstable plants and it has been tested in a real-time application to control the roll angle of a quad-rotor helicopter prototype. The experimental results show good performance and robustness of the proposed scheme even in the presence of long delay uncertainties. © 2011 Elsevier Ltd.