Minimal-Order Functional Observer-Based Residual Generators for Fault Detection and Isolation of Dynamical Systems. (5th May 2016)

• Record Type: Journal Article
• Authors: Tran, H. M.; Trinh, H.
• Other Names: Mao Zehui Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2016(2016)
• Publication Date: 2016-05-05
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2016/2740645
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.