Abstract
This paper addresses the problem of the left inversion of switched linear systems from a diagnostics perspective. The problem of left inversion is to reconstruct the input of a system with the knowledge of its output, whose differentiation is usually required. In the case of this work, the objective is to reconstruct the system’s unknown inputs, based on the knowledge of its outputs, switching sequence and known inputs. With the inverse model of the switched linear system, a real-time Fault Detection and Isolation (FDI) algorithm with an integrated Fuzzy Logic System (FLS) that is capable of detecting and isolating abrupt faults occurring in the system is developed. In order to attenuate the effects of unknown disturbances and noise at the output of the inverse model, a smoothing strategy is also used. The results are illustrated with an example. The performance of the method is validated experimentally in a dc-dc boost converter, using a low-cost microcontroller, without any additional components.
Highlights
The problem of linear systems inversion is a concept that gathered great interest among the control engineering community since the middle of last century
It is important to realize that these results show similarities to those obtained by simulations and shown in the previous section
This article has explored the combined used of two approaches with the purpose of fault detection and isolation applied to a particular case of a switched linear system
Summary
The problem of linear systems inversion is a concept that gathered great interest among the control engineering community since the middle of last century. Multiple-Output (MIMO) state-space systems was principally driven by Reference [1,2] which gave, with their contributions, a lot of insight into the comprehension of the properties of inverse systems. The former, realized with his so-called structure algorithm, that an inverse system can be achieved with the same number of differentiators (or delay elements) as the original system. The latter studied principally left inversions and introduced the concept of inherent integration (delay) of continuous (discrete) Linear Time-Invariant (LTI) systems. Regarding its application, the problem of inversion can be divided into two classes—(i) right inversion; and (ii) left inversion
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
