一般广义周期时变系统输出反馈控制

Output Feedback Control for General Periodically Time-varying Descriptor Systems

针对一般广义周期时变系统输出反馈控制问题,采用广义Lyapunov不等式和线性矩阵不等式的分析方法,通过对一般广义周期时变系统引入一个反馈,得到了该类系统允许且满足H∞控制性能指标的一族输出反馈控制器.所得结论是广义系统输出反馈控制研究成果向一般广义周期时变系统的自然推广.最后,通过数值算例说明了设计方法的有效性.

According to the design problems of output feedback for general periodically tim-varying descriptor systems,by using the analysis methods of descriptor Lyapunov inequality and linear matrix inequality（LMI） and by introducing the feedback into the general periodically time-varying descriptor systems,an tribe controllers of output feedback was obtained for this kind of systems to be admissible and satisfy performance index of H∞ control.The conclusions of output feedback research achievements are natural extend from descriptor systems to the general periodically time-varying descriptor systems.Finally,a numerical example was given to illustrate the effectiveness of the approach.