断片的な順序のタカギ-スゲーノシステムの堅牢な故障診断,前提変数の不確実性
Abdelghani Djeddi1, Ahmad Taher Azar2,3, Abdelhamid Djari4
1Department of Electrical Engineering, Echahid Cheikh Larbi Tebessi University, 12002, Tebessa, Algeria. abdelghani.djeddi@univ-tebessa.dz.
Scientific reports
|September 1, 2025
まとめ
この研究では,非線形系における分数順位対比積分模糊観測器 (FO-PIFO) を用いた新しい故障検出方法が提示されています. これらのテクニックは,測定可能および測定不能の前提変数システムの両方の故障を効果的に診断します.
科学分野:
- 制御システム工学
- 非線形システム分析
- 曖昧な論理システム
背景:
- 既存の故障検出方法は,しばしば整数型システムに限定されています.
- 分数順位のシステムは 複雑なダイナミクスのより正確なモデリングを提供します
- 分数式の非線形システムの故障検出にはギャップがあります.
研究 の 目的:
- 分数順のタカギ・スゲーノ (FO-TS) システムに対する新しい故障検出技術を導入する.
- 測定可能な前提変数 (MPV) と測定できない前提変数 (UPV) のシステムにおける故障診断に取り組む.
- 断片的な非線形システムの領域に故障検出機能を拡張します.
主な方法:
- 分数順位の整数模糊観測器 (FO-PIFO) を設計する.
- MPVを用いたFO-TSモデルの再構築とUPVを用いたFO-TSモデルの構築のための戦略を策定する.
- 収束基準の分数順のライアプノフ理論と安定性分析の線形行列不等式 (LMI) を利用する.
- 干渉緩和戦略を統合する.
主要な成果:
- 2つの新しいFO-PIFOベースの故障検出技術が開発され,検証されました.
- MPVとUPVの両方を分数の非線形システムで処理する能力を示した.
- LMIを用いた安定性条件と,障害に対する確固たる耐久性.
結論:
- 提案されたFO-PIFO設計は,小数列の非線形システムにおける故障検出のための効果的な枠組みを提供します.
- これらの方法は,従来の整数型モデルを超えた複雑なシステムの診断能力を高めます.
- シミュレーション結果は,開発された故障検出戦略の実用性と有効性を確認します.
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