Chapters authored
Lagrangian Model‐Based Fault Diagnosis in a PVTOL
A Lagrangian formalism is used to model a PVTOL in order to obtain an aircraft model. The Euler‐Lagrange model of the PVTOL is used to develop an algorithm for fault diagnosis. Diagnosis implies the detection, isolation and identification of a fault. The considered approach is based on the knowledge of a system model as well as the model of the possible faults. The idea is to use non‐linear decoupling approach to derivate a set of subsystems, each related to a specific fault or a set of faults. An observer‐based residual generation is designed for each subsystem, this structure allows the fault detection and isolation stage, for fault identification a kind of approximated inversion algorithm to meet the different diagnostic levels. The results are obtained taking advantage of the structure given by the Euler‐Lagrange modelling of the PVTOL as well as from recent results related to observer design and fault identification.
Part of the book: Lagrangian Mechanics
Fault Detection and Isolation of Nonlinear Systems with Generalized Hamiltonian Representation
The problem of fault diagnosis in a class of nonlinear system is considered. Systems that can be written in the so‐called Generalized Hamiltonian Representation (which is equivalent to an Euler‐Lagrange representation) are studied, and a model‐based observer approach for this class of systems is developed. The main advantage of the proposed approach is the facility to design the required observers, which take advantage of the system structure given by the Hamitonian representation. In order to show the proposed schema, a model of a permanent magnet synchronous machine is revised and the fault diagnosis schema presented. Simulation results confirm the effectivity of the proposed schema.
Part of the book: Fault Diagnosis and Detection