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T-S模糊系統的自觸發(fā)有限時(shí)間H∞控制
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江南大學(xué) 輕工過(guò)程與先進(jìn)控制教育部重點(diǎn)實(shí)驗室

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TP273

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Self-triggering Finite Time H∞ Control for T-S Fuzzy Systems
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    摘要:

    為克服事件觸發(fā)控制對硬件設備的依賴(lài)以及控制策略頻繁更新的局限,針對一類(lèi)不確定Takagi-Sugeno(T-S)模糊系統的有限時(shí)間H∞控制問(wèn)題,引入自觸發(fā)機制,提出一種基于此機制下只與觸發(fā)時(shí)刻狀態(tài)有關(guān)的模糊控制器設計方法;基于自觸發(fā)機制并結合有限時(shí)間控制的思想,通過(guò)設計觸發(fā)間隔函數、推導并求解線(xiàn)性矩陣不等式(LMI),使得系統在保障穩定性的前提下,系統運動(dòng)軌跡不會(huì )超過(guò)一定的界限,并達到所期望H∞性能水平;同時(shí)相較于事件觸發(fā)機制,自觸發(fā)機制位于系統內部,無(wú)需額外硬件設備接收觸發(fā)信號且只需利用當前的觸發(fā)狀態(tài)信息來(lái)預測下一觸發(fā)時(shí)刻,在一定程度上進(jìn)一步降低系統資源成本;此外,利用李亞普諾夫函數對系統穩定性進(jìn)行了嚴格分析,并提供一個(gè)確保能夠防止芝諾現象發(fā)生的證明;最后,通過(guò)數值仿真、單連桿剛性機器人系統實(shí)例仿真兩個(gè)實(shí)驗說(shuō)明所提方法的有效性。

    Abstract:

    In order to overcome the dependence of event-triggering control on hardware devices and the limitation of frequent update of control strategy, a self-triggering mechanism is introduced for the finite time H∞ control problem of a class of uncertain Takagi-Sugeno (T-S) fuzzy systems, and a fuzzy controller design method based on this mechanism is proposed. Based on the self-triggering mechanism and the idea of finite-time stability, by designing the triggering interval function, deducing and solving the linear matrix inequality (LMI), the system trajectory will not exceed a certain limit and reach the desired H∞ performance level under the premise of ensuring stability. At the same time, compared with the event trigger mechanism, the self-trigger mechanism is located in the system, without additional hardware devices to receive trigger signals, and only needs to use the current trigger state information to predict the next trigger moment, which further reduces the system resource cost to a certain extent. In addition, the stability of the system is analyzed strictly by means of Lyapunov function, and a proof to prevent Zeno phenomenon is provided. Finally, the effectiveness of the proposed method is demonstrated by numerical simulation and example simulation of a single-link rigid robot system.

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劉曉迪. T-S模糊系統的自觸發(fā)有限時(shí)間H∞控制計算機測量與控制[J].,2024,32(4):120-128.

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  • 收稿日期:2023-08-26
  • 最后修改日期:2023-09-16
  • 錄用日期:2023-09-19
  • 在線(xiàn)發(fā)布日期: 2024-04-29
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