针对切换非线性系统,考虑了基于输出严格无源性的日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.
TheH∞ analysis problem is studied for switched nonlinear systems based on the output strict passivity property. By assuming that each subsystem satisfies the output strict passivity inequality when it is active, which is not satisfied for the whole time domain, the switching law can be designed to achieve the H∞ performance index by using the multiple Lyapunov function method. Finally, a numerical example is given to'illustrate the effectiveness of the main result.