摘要
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 problem of gain-scheduled H.control for networked polytopic systems with bounded rates of parameter variations is investigated. The state transmission delays are handled via state augmentation technique so that a switched polytopic system model is obtained. Considering the bounded variation rates and the parameter transmission delays, a vector polytope model is achieved to describe the triplet of the current, the forthcoming and the delayed parameters. By means of switched parameter-dependent Lyapunov functions, the design criterion of the gain-scheduled H∞ controller is given in terms of LMIs. The presented method extends existing results for polytopic systems to allow for network-induced delays and qualifies relatively lower conservativeness. A simulation example shows the effectiveness of the proposed approach.
出处
《控制与决策》
EI
CSCD
北大核心
2015年第1期137-142,共6页
Control and Decision
基金
国家自然科学基金项目(61273083)
