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具有時變時滯的變采樣周期網絡控制系統的穩定性分析

Stability analysis of networked control systems with variable sampling and time delay

  • 摘要: 研究了一類具有時變時滯和變采樣周期的網絡控制系統的穩定性問題.網絡控制系統被建模為等效的具有輸入時滯的系統,通過構造一個新的具有不連續項的Lyapunov泛函,給出了線性矩陣不等式作為使得閉環系統指數穩定的充分條件.通過求解這些線性矩陣不等式,可以找到一個常數作為采樣時刻和輸入更新時刻之間的上界,保證閉環系統的穩定性.數值仿真算例表明,該方法有效且相比已有文獻局限性更小.

     

    Abstract: This article focuses on the stability of networked control systems(NCSs) with variable sampling and time delay. NCSs are modeled as an equivalent input delay system. By introducing a novel Lyapunov functional with discontinuities,linear matrix inequality(LMI) based sufficient conditions are derived for the exponential stability of the closed-loop system. By solving these LMIs,we can find a positive constant that determines an upper bound between a sampling instant and the subsequent input update instant,which guarantees the stability of the closed-loop system. Numerical simulation examples show that this method is efficient and less conservative than existing results in the literature.

     

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