Abstract
This paper presents a new model-based fault resilient control scheme for a class of nonlinear distributed parameter systems (DPS) represented by parabolic partial differential equations (PDE) in the presence of actuator faults. A Luenberger-like observer on the basis of nonlinear PDE representation of DPS is developed with boundary measurements. A detection residual is generated by taking the difference between the measured output of the DPS and the estimated one given by the observer. Once a fault is detected, an unknown actuator fault parameter vector together with a known basis function is utilized to adaptively estimate the fault dynamics. A novel tuning algorithm is derived to estimate the unknown actuator fault parameter vector. Next, in order to achieve resilience, the controller from the healthy scenario is adjusted to mitigate the faults by using both estimated fault dynamics and a secondary measurement. Subsequently, an explicit formula is developed to estimate the time-to-resilience (TTR). Finally, a nonlinear example is utilized to illustrate the effectiveness of the proposed scheme.
Recommended Citation
H. Ferdowsi et al., "Adaptive Resilient Control For A Class Of Nonlinear Distributed Parameter Systems With Actuator Faults," Systems Science and Control Engineering, vol. 12, no. 1, article no. 2301526, Taylor and Francis Group; Taylor and Francis, Jan 2024.
The definitive version is available at https://doi.org/10.1080/21642583.2023.2301526
Department(s)
Electrical and Computer Engineering
Second Department
Computer Science
Publication Status
Open Access
Keywords and Phrases
adaptive estimation; distributed parameter systems; Fault detection; resilient control
International Standard Serial Number (ISSN)
2164-2583
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2024 The Authors, All rights reserved.
Publication Date
01 Jan 2024
