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针对一类具有有界干扰的线性切换系统研究其有限时间鲁棒控制问题.基于模型依赖平均驻留时间,提出了系统有限时间有界且具有H∞性能指标的充分条件,与传统方法中系统具有单一平均驻留时间不同,各切换子系统具有各自的平均驻留时间,因而降低了设计的保守性.进一步,将切换系统的有限时间状态反馈控制器设计转化为具有线性矩阵不等式约束的优化问题.数值算例和仿真对比表明,所提出的方法增加了切换律设计的自由度.
A class of linear switched system with bounded jamming is studied for its finite-time robust control problem. Based on the model-dependent average dwell time, a sufficient condition for bounded finite system with H∞ performance is proposed. Compared with the traditional system With a single average dwell time, each switching subsystem has its own average dwell time, thus reducing the conservativeness of the design.Furthermore, the finite time state feedback controller design of switched systems is transformed into the optimization with linear matrix inequality constraints The numerical examples and simulation results show that the proposed method increases the freedom of switching law design.