Multimode Diagnosis for Switched Affine Systems

Conference paper (2021)

Authors

J. Dong Team Peyman Mohajerin Esfahani - Mechanical, Maritime and Materials Engineering
Arman Sharifi K. Team Tamas Keviczky - Mechanical, Maritime and Materials Engineering
P. Mohajerin Esfahani Team Peyman Mohajerin Esfahani - Mechanical, Maritime and Materials Engineering , Team Bart De Schutter - Mechanical, Maritime and Materials Engineering
Research Group
Team Peyman Mohajerin Esfahani (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2021 J. Dong, Arman Sharifi K., P. Mohajerin Esfahani
DOI
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https://doi.org/10.23919/ACC50511.2021.9483077
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Published Date

2021

Language

English

Reuse Rights

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Peyman Mohajerin Esfahani

Abstract

In this paper, we propose an approach to detect mode transitions and to isolate active modes in discrete-time, switched affine systems. The proposed approach is in particular constructed for systems in which the controller is oblivious of the switching signal. The diagnosis approach consists of two main parts: construction of a bank of output filters (that generate desired residuals) and definition of a certain type of residual/threshold-based diagnosis rules. The filters' construction is cast as linear feasibility problems. These feasibility problems enforce desirable diagnosis relationships between each subsystem's affine constant and each residual. The diagnosis rules are inspired by the well-known generalized observer scheme. Moreover, we provide a method to compute each mode's diagnosis time based on the diagnosis rules and properly chosen residual thresholds. A numerical example is presented to show the performance of the proposed approach.