Fuzzy Fault Detection Observer Design for Unmanned Marine Vehicles Based on Membership-Function-Dependent H∞/H_ Performance
Abstract
:1. Introduction
- (1)
- Inspired by the literature [22], a new membership-function-dependent FD strategy is proposed for UMVs in this paper. In the method developed, the fuzzy submodels, in which the system always works, can have a larger performance index; then, the property that the state of the system is limited to a local area can be fully made use of such that the FD performance for UMVs can be improved.
- (2)
- Motivated by set theory description [17], the FD performance index is designed to depend on the membership functions, which can take a relatively large value when the state is limited to a local area. Consequently, the FD performance can be improved as long as the state of the system is limited to a local area. Then, the constraint that the fuzzy systems are required to work on a certain subsystem in [22] can be removed by the proposed method.
2. System Description
UMVs T-S Modeling
3. Fault Detection Observer Design
3.1. Quantization Description
3.2. FD Observer Scheme
3.3. Problem Formulation
4. FD Observer Analysis and Synthesis
4.1. Membership-Function-Dependent FD Observer Synthesis Conditions
4.2. FD Logic and Optimized Algorithm
5. Example
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
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Wu, Y.; Wang, Y.; Zhang, K.; Zhang, S.; Wu, Y. Fuzzy Fault Detection Observer Design for Unmanned Marine Vehicles Based on Membership-Function-Dependent H∞/H_ Performance. J. Mar. Sci. Eng. 2024, 12, 1288. https://doi.org/10.3390/jmse12081288
Wu Y, Wang Y, Zhang K, Zhang S, Wu Y. Fuzzy Fault Detection Observer Design for Unmanned Marine Vehicles Based on Membership-Function-Dependent H∞/H_ Performance. Journal of Marine Science and Engineering. 2024; 12(8):1288. https://doi.org/10.3390/jmse12081288
Chicago/Turabian StyleWu, Yue, Yang Wang, Kai Zhang, Shanfeng Zhang, and Ying Wu. 2024. "Fuzzy Fault Detection Observer Design for Unmanned Marine Vehicles Based on Membership-Function-Dependent H∞/H_ Performance" Journal of Marine Science and Engineering 12, no. 8: 1288. https://doi.org/10.3390/jmse12081288
APA StyleWu, Y., Wang, Y., Zhang, K., Zhang, S., & Wu, Y. (2024). Fuzzy Fault Detection Observer Design for Unmanned Marine Vehicles Based on Membership-Function-Dependent H∞/H_ Performance. Journal of Marine Science and Engineering, 12(8), 1288. https://doi.org/10.3390/jmse12081288