基于环函数方法的复杂动态网络混合H∞无源采样同步控制

Mixed H∞and Passive Sampled-Data Synchronization of Complex Dynamical Networks via Looped-Functional Approach

基于环函数方法,研究复杂动态网络混合H∞无源采样同步控制问题.首先,结合时滞系统模型,并考虑采样点tk和tk+1的信息,构建新的Lyapunov泛函与环函数;然后,利用一类不含逆系数的自由权矩阵不等式估计泛函导数中的非线性项,推导出了能保证系统指数同步变化的稳定性判据,并进一步给出系统满足混合H∞无源性能指标的采样控制器设计方法;最后,数值仿真表明所得稳定性判据相较已知文献具有更小的保守性,且控制器可行.

Based on looped-functional approach,this paper investigates the issue of mixed H∞and passive sampled-data synchronization of complex dynamical networks.Firstly,based on the time-delay model and taking into consideration the information of both tk and tk+1,a new Lyapunov function and looped-function are constructed.Then,a novel stability criterion that ensures the exponential synchronization of the system is derived,where nonlinear integrals in the derivative of the functional are estimated by free-weighting-matrix inequalities without the inverse coefficient.Based on the criterion,a synchronous sampled-data controller is designed.Finally,numerical simulations show that the obtained criterion is less conservative than the results given in the available literature and that the controller is feasible.