Discontinuous dynamical systems for fault detection. A unified approach including fractional and integer order dynamics

This paper considers a discontinuous dynamical observers stack and presents its possible application in the framework of fault etection and isolation (FDI) problems. Non-standard forms for the discontinuous observer injection signals, based on second-order liding-mode techniques with dynamical sliding manifolds, are employed in the present work. A unified treatment covering at the ame time integer-order and fractional-order (FO) dynamics is developed. Appropriate non-smooth Lyapunov analysis is made o support the theoretical properties of the suggested FDI observers, which yields simple tuning formulas for the corresponding arameters. Numerical implementation aspects are discussed. Finally, simulation and experimental results are presented to support he theoretical treatment, which confirm the expected performance. 2012 IMACS. Published by Elsevier B.V. All rights reserved.