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研究参数变化速率有界的网络化多胞型系统的变增益H∞控制问题.采用时滞状态增广方法处理状态传输时延,得到切换多胞型系统模型;考虑参数变化速率约束与参数传输时延影响,给出对当前参数、次刻参数和时滞参数三元组的多胞描述方法;进而基于参数依赖切换Lyapunov函数方法给出变增益H∞控制器的LMI设计准则.该方法将已有结果推广至包含网络传输时延的情形,具有较低的保守性.仿真实例表明了所提出方法的有效性.
The variable gain H∞ control problem of a networked multi-cell system with bounded rate of change of the parameter is studied. The state transition delay is treated by the delay state augmenting method to get the multi-cell switching system model. Considering the change of parameter rate and the parameter transmission Time delay effect, the multicomponent description method for the current parameter, the second moment parameter and the delay parameter triples is given. Furthermore, the LMI design criterion of the variable gain H∞ controller is given based on the parameter dependent switching Lyapunov function method. The existing results are generalized to include the network transmission delay, which is conservative. Simulation results show the effectiveness of the proposed method.