计算机科学 ›› 2015, Vol. 42 ›› Issue (Z11): 247-252.
曹慧超,李炜
CAO Hui-chao and LI Wei
摘要: 对执行器饱和约束与故障情形下不确定非线性网络化控制系统(NNCS)的鲁棒H∞容错设计问题进行了研究。为了获得少保守性判据准则,构造了适当的时滞依赖Lyapunov-Krasovskii(L-K)泛函,采用了一种下界比常用Jensen积分不等式更紧的改进型Wirtinger积分不等式,推导出了使执行器饱和闭环故障NNCS具有鲁棒H∞容错性能的少保守性判据,并通过求解LMIs的方式给出了鲁棒容错控制器的设计方法。最后,通过仿真算例验证了所提方法的有效性,进而又求取了最大允许时延及最小扰动抑制率,并与已有类似结果进行比较,揭示了本方法所得结论的少保守性;另外,所提方法由于亦未引入除L-K泛函以外的决策变量,因此具有较低计算复杂度。
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