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.
The finite-time boundness(FTB) analysis and finite-time H∞ controller design for the affine switched system are discussed based on the average dwell-time method. Several definitions about FTB and robust H∞ controllers are presented, based on which, the sufficient conditions and the designed method of the H∞ controller ensuring the FTB for the affine switched system are proposed. The obtained results are in the form of the linear matrix inequality(LMI). Finally a numerical example illustrates the correctness and effectiveness of the proposed method.