Minimal-Order Functional Observer-Based Residual Generators for Fault Detection and Isolation of Dynamical Systems

الملخص EN

This paper examines the design of minimal-order residual generators for the purpose of detecting and isolating actuator and/or component faults in dynamical systems.

We first derive existence conditions and design residual generators using only first-order observers to detect and identify the faults.

When the first-order functional observers do not exist, then based on a parametric approach to the solution of a generalized Sylvester matrix equation, we develop systematic procedures for designing residual generators utilizing minimal-order functional observers.

Our design approach gives lower-order residual generators than existing results in the literature.

The advantages for having such lower-order residual generators are obvious from the economical and practical points of view as cost saving and simplicity in implementation can be achieved, particularly when dealing with high-order complex systems.

Numerical examples are given to illustrate the proposed fault detection and isolation schemes.

In all of the numerical examples, we design minimum-order residual generators to effectively detect and isolate actuator and/or component faults in the system.