環状有限時間 H2/H∞ 平均フィールドジャンプ拡散システムの制御
IEEE transactions on cybernetics
|August 27, 2025
まとめ
この研究は,複雑なジャンプ拡散システムのための環状有限時間 H2/H∞制御を導入します. 新しい方法はシステムの安定性を確保し,パフォーマンスインデックスを最適化し,既存の有限時間制御戦略を上回ります.
科学分野:
- 制御理論
- ストキャスティック・システム
- 非線形動力学
背景:
- 平均フィールドジャンプ拡散システム (MFJDS) は,連続的な (Wiener) と離散的な (Poisson) 騒音プロセスを含む.
- このような複雑なシステムにおける限られた時間の安定性と性能を確保することは大きな課題です.
研究 の 目的:
- MFJDSの環状有限時間 H2/H∞制御を導入し,分析する.
- 状態フィードバックとオブザーバーベースの環状有限時間 H2/H∞制御のための新しい条件を開発する.
- パラメータ分析とパフォーマンスの最適化のための新しいアルゴリズムを提案する.
主な方法:
- 平均正方形の意味での環状有限時間帯性 (AFTB) の定義
- 状態フィードバックとオブザーバーベースの制御のための十分な条件の導出.
- 安定性パラメータと性能トレードオフの決定のためのアルゴリズムの開発.
主要な成果:
- 提案された環状有限時間 H2/H∞ コントロールは,AFTB を確保し,H2/H∞ インデックスを最小限にします.
- 状態フィードバックと観察者ベースの制御のためのより保守的な条件が確立されています.
- 考案されたアルゴリズムは,安定性範囲とパフォーマンス関係を効果的に決定します.
結論:
- 新しい環状有限時間 H2/H∞ コントロールは,MFJDSの優れた性能を提供します.
- 提案された方法論とアルゴリズムは,システムの設計と分析のための実用的なツールを提供します.
- 総合的なデザインの例によって実用的な利点が示されています.
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