In terms of a fast sampling model, a necessary and sufficient condition for the stability of the system is obtained, and the suitable state feedback control law and upper bound of parameter ε are also given by the linear matrix inequality method.The proposed results can be applied to a slow sampling singularly perturbed model and a general system in which the slow and fast dynamics is not obvious.An example is worked out to illustrate the effect of the method.%该文针对快速采样模型,给出系统满足H2/H∞指标且稳定的充要条件.通过线性矩阵不等式(LMI)方法,给出了系统稳定且满足H2性能指标和H∞性能指标的状态反馈控制律设计,以及奇异摄动参数的上界.该方法避免了传统的奇异摄动快慢分解方法,而且适用于慢速采样模型和快慢动态不明显的一般系统.数值算例说明了该方法的有效性.
展开▼
