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超空泡航行体鲁棒H∞绝对稳定控制

DOI: 10.11990/jheu.201407032

Keywords: 超空泡, 噪声干扰, 扇形区域条件, 鲁棒H∞, 绝对稳定性

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Abstract:

针对超空泡航行体(HSSV)在巡航阶段会受到强非线性滑行力,且伴随噪声干扰等问题,提出一种基于时域绝对稳定性的鲁棒H∞绝对稳定控制器的综合方法.利用backstepping方法,将原系统转化成子系统级联形式的跟踪模型,并在其基础上分析了滑行力的扇形区域条件.考虑系统中存在噪声干扰的情况,利用Lyapunov理论结合滑行力的扇形区域条件,给出了线性矩阵不等式(LMI)约束形式的鲁棒H∞绝对稳定控制器综合方法.仿真结果表明,所设计的鲁棒??H∞绝对稳定控制器可以实现闭环系统的绝对稳定,同时在零初始条件下具有给定的H∞性能.

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