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针对切换非线性系统,考虑了基于输出严格无源性的H∞问题.利用每个子系统的输出严格无源性(这里并不要求每个子系统都在整个时间域上满足输出严格无源性,只要求子系统在其激活时间段内满足输出严格无源性),同时借助切换系统理论中的多Lyapunov函数方法,用输出严格无源性中的存储函数作为备选的多Lyapunov函数,设计了依赖存储函数的最小切换规则,研究了一类切换非线性系统的H∞问题,给出了存在H∞性能指标的充分条件.此外,这种基于输出严格无源性的方法也可用于分析切换级联系统的H∞问题.最后,通过仿真算例验证了这种基于输出严格无源性的方法的有效性.
In order to switch nonlinear systems, we consider the H∞ problem based on strictly passive output.Using the output of each subsystem is strictly passive (it is not required that each subsystem satisfies the output strictly passiveness in the whole time domain, Only the subsystem is required to satisfy strict output passiveness during its activation period). In the meantime, with the help of the multi-Lyapunov function method in switching system theory and the storage function in the output strict-passiveity as an alternative multi-Lyapunov function, Based on the minimum switching rule of storage function, we study the H∞ problem of a class of switched nonlinear systems and give a sufficient condition for the existence of H∞ performance index. In addition, this strict output-based approach can also be used to analyze the switching H∞ problem of cascaded systems.Finally, the simulation results show the effectiveness of this method based on strict output.