【作者】 马国梁； 陈庆伟； 胡维礼；

【Author】 Ma Guoliang Chen Qingwei Hu Weili ( School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China)

【机构】 南京理工大学自动化学院；

【摘要】 针对一类不确定性离散时间切换系统,在任意切换的情况下研究了这类系统的鲁棒H∞控制问题．首先基于多Lyapunov函数法分析含有状态反馈控制器的切换系统的鲁棒稳定性和干扰抑制性能,得到了切换系统鲁棒稳定且具有H∞扰动衰减度的充分条件．其次运用线性矩阵不等式给出了状态反馈控制器的设计方案,举例说明了所提方法的应用．更多还原

【Abstract】 The robust H∞ control problem for a class of uncertain discrete time switched systems under arbitrary switching is investigated. First, the robust stability and disturbance attenuation performance for the switched systems with state feedback controllers are analyzed based on the multiple Lyapunov functions method, and the sufficient conditions for the switched systems to be robust stable with H∞ disturbance attenuation is derived. Secondly, the design schemes of state feedback controllers are presented in terms of linear matrix inequality (LMI) , and an example is given to illustrate the application of the presented method.更多还原