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.
Highlights
Industrial systems have become more and more complicated and expensive, and the requirement of safety and reliability in system operations is paramount [1]
By using minimal-order functional observers, we present a new Fault detection and isolation (FDI) scheme to detect and identify l unpredictable actuator and/or component fault signals entering from the inputs of dynamical systems
(Section 2), we present the system description and preliminaries where we consider linear dynamical systems with l unpredictable actuator and/or component fault signals entering from the system inputs
Summary
Industrial systems have become more and more complicated and expensive, and the requirement of safety and reliability in system operations is paramount [1]. Regarding the residual-based approach, the residual signals in most studies are generated via primarily employing full-order state observers or filter schemes which can be found in, for instance, [16,17,18,19,20,21,22,23,24,25]. By using minimal-order functional observers, we present a new FDI scheme to detect and identify l unpredictable actuator and/or component fault signals entering from the inputs of dynamical systems. We first present a simple solution approach where residual generators are designed using only first-order functional observers to detect and isolate faults in the systems.
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