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基于T-S模糊雙線(xiàn)性模型的事件觸發(fā)滑模控制
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TP273

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Event-triggered Sliding Mode Control for Takagi-Sugeno Fuzzy Bilinear Models
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    摘要:

    針對模糊雙線(xiàn)性系統,研究一類(lèi)事件觸發(fā)滑模控制。求出使控制器分母為零的奇異區域,選定事件觸發(fā)閾值,確定事件觸發(fā)需滿(mǎn)足的條件區域,使奇異區域包含于條件區域。構造積分滑模面,得出常規滑模控制律,并在此基礎上,結合事件觸發(fā)機制,對控制律進(jìn)行增廣,設計輔助控制律,使得系統狀態(tài)臨近奇異區域時(shí),得以平穩過(guò)渡,保證系統穩定性,同時(shí)保證狀態(tài)正常到達滑模面。根據設計的事件觸發(fā)滑模控制律,考慮系統狀態(tài)趨近奇異區域的不同情況,結合李雅普諾夫穩定性條件,分別對系統狀態(tài)的可達性和穩定性進(jìn)行證明。最后,以數值仿真驗證所提方法的有效性。

    Abstract:

    For fuzzy bilinear systems, a class of event triggered sliding mode control is studied. The singular region with zero denominator of the controller is obtained, the event trigger threshold is selected, and the condition region to be met for event trigger is determined, so that the singular region is included in the condition region. The integral sliding mode surface is constructed, and the conventional sliding mode control law is obtained. On this basis, combined with the event trigger mechanism, the control law is extended, and the auxiliary control law is designed to make the system state transition smoothly when it is close to the singular region, ensure the stability of the system, and ensure that the state reaches the sliding mode surface normally. According to the designed event triggered sliding mode control law, considering the different situations that the system state approaches the singular region, combined with the Lyapunov stability condition, the reachability and stability of the system state are proved respectively. Finally, the effectiveness of the proposed method is verified by numerical simulation.

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陳漢,陳珺.基于T-S模糊雙線(xiàn)性模型的事件觸發(fā)滑模控制計算機測量與控制[J].,2021,29(11):71-75.

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  • 收稿日期:2021-09-06
  • 最后修改日期:2021-09-28
  • 錄用日期:2021-10-12
  • 在線(xiàn)發(fā)布日期: 2021-11-22
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