不确定中立型奇异系统的鲁棒H_∞控制

Robust H_∞ Control for Uncertain Neutral Type Descriptor Systems

研究了包含混合时滞的中立型奇异系统的鲁棒H∞控制问题,在HongLi提出的算子￡(xt)=Ex(t)-Gx(t-h)稳定性的基础上,对既含有范数有界不确定参数又含有未知常时滞的奇异系统,得到存在无记忆状态反馈使所考虑系统是稳定的且具有H∞性能γ的充分条件.所得结论以LMI形式给出.

This paper studied robust H∞ control for a class of uncertain neutral type descripter systems including mixed time-delays. For linear state models with norm-bounded uncertain system parameters and unknown constant mixed delays, a sufficient condition for designing a memoryless state-feedback controller is established by the stability of the operator ￡（xt） = Ex（t） Gx（t h） brought forward by Hong Li. All the results are given by LMI, it is convenient to solve.