Robust fault detection for Uncertain Unknown Inputs LPV system

• Published in: Control engineering practice Vol. 22; pp. 125 - 134
• Main Authors: Varrier, Sébastien, Koenig, Damien, Martinez, John J.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.01.2014; Elsevier
• Subjects: Automatic; Design engineering; Dynamical systems; Dynamics; Engineering Sciences; Linear parameter varying (LPV); Mathematical models; Optimization; Parity; Robust fault detection (FD); Uncertain unknown inputs system; Robust fault detection (FD); Linear parameter varying (LPV); Uncertain unknown inputs system
• ISSN: 0967-0661; 1873-6939
• DOI: 10.1016/j.conengprac.2013.10.002

This paper focuses on robust fault residual generation for Uncertain Unknown Inputs Linear Parameter Varying (U-LPV) systems. Firstly, the problem is addressed in standard LPV systems based on the adaptation of the parity-space approach. The main objective of this approach is to design a scheduled parity matrix according to the scheduling parameters. It results a perfectly decoupled parity matrix face to the system states. Then, the major contribution of this paper relies on the extension to U-LPV systems. Since most of models which represent practical/real systems are subject to parameters variation, unmodeled dynamics and unknown inputs, the approach is clearly justified. The residual synthesis is rewritten in terms of a new optimization problem and solved using Linear Matrix Inequalities (LMIs) techniques. An applicative illustration is proposed and rests on a vehicle lateral dynamic system.