連続時間オブザーバーとサンプル間の出力予測器を備えたネットワーク化された非線形システムの出力フィードバック安定化
Jiani Cheng1, Jingxin Huang1, Xiangze Lin1
1College of Artificial Intelligence, Nanjing Agricultural University, Nanjing 210031, PR China.
ISA transactions
|August 31, 2025
まとめ
この研究は イベントトリガーサンプリングと観測者を用いて ネットワーク化された非線形システムを安定化します 静的とダイナミックなサンプリングメカニズムを使用してシステムの安定性を達成し,制御を改善します.
科学分野:
- 制御システム工学
- 非線形動力学
- ネットワーク化されたシステム
背景:
- ネットワーク化されたシステムは,サンプリングと遅延により,状態の推定と制御に課題をもたらします.
- イベントトリガードサンプリングは,定期的なサンプリングと比較してデータの伝送を減らすことで効率を上げます.
研究 の 目的:
- イベントトリガーサンプリングによる非線形平面システムの出力安定化のための制御戦略を開発する.
- 状態推定のためのサンプル間出力予測器を設計する.
主な方法:
- 連続時間観測者と離散時間サンプリングイベントを組み合わせたハイブリッドフレームワークを使用します.
- 静的およびダイナミックなイベントトリガーのサンプリングメカニズムを使用します.
- 設計では,測定できない状態を推定するために,サンプル間の出力予測を切り替えました.
主要な成果:
- 静的なイベントトリガーのサンプリング下でスイッチされたシステムのグローバル最終的な境界性を達成します.
- ダイナミックイベント誘発サンプリング下でのスイッチされたシステムのグローバルアシンプトティック安定性を保証します.
- シミュレーションにより,提案されたエミュレーションメソッドの有効性を証明する.
結論:
- 提案された方法は,ネットワーク化された非線形スイッチシステムを効果的に安定させる.
- スイッチされた連続時間観測器とサンプル間の出力予測器は 堅実なアプローチを提供する.
- ディスクリートサンプリングの利点と連続時間オブザーバー設計の統合が強調されています.
関連する概念動画
Feedback control systems
416
Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
416
BIBO stability of continuous and discrete -time systems
511
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
511
Second Order systems II
171
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
171
Classification of Systems-II
240
Continuous-time systems have continuous input and output signals, with time measured continuously. These systems are generally defined by differential or algebraic equations. For instance, in an RC circuit, the relationship between input and output voltage is expressed through a differential equation derived from Ohm's law and the capacitor relation,
240
Linear time-invariant Systems
403
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
403
Effects of feedback
698
Feedback in control systems plays a critical role in shaping various operational parameters, extending beyond simple error reduction to influence stability, bandwidth, gain, impedance, and sensitivity. Understanding these effects requires examining a basic feedback system characterized by defined input, output, error, and feedback signals.
Feedback significantly modifies the gain of a control system. The gain of a system without feedback is altered by a factor of one plus GH, where G represents...
Feedback significantly modifies the gain of a control system. The gain of a system without feedback is altered by a factor of one plus GH, where G represents...
698


