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针对一类含分段常数项的仿射切换系统,在平均滞留时间分析方法的基础上研究此类系统的有限时间有界性(FTB)和干扰抑制问题.给出了仿射切换系统的FTB概念以及有限时间鲁棒H_∞性能的定义,并在此基础上提出使得系统有限时间内有界的充分条件以及H_∞控制器的设计方法,所得结论均以线性矩阵不等式(LMI)的形式给出.最后通过算例验证了所提出方法的正确性和有效性.
Aiming at a class of affine switching systems with piecewise constant items, the finite time boundedness (FTB) and interference suppression of such systems are studied on the basis of averaged retention time analysis method. The affine switching system FTB Concept and the definition of the robust H_∞ performance for a finite time, and on this basis, the sufficient conditions for the boundedness of the system in a finite time and the design method of the H_∞ controller are proposed. The conclusions are given in the form of linear matrix inequalities (LMIs) Finally, an example is given to verify the correctness and validity of the proposed method.