状态量化的非线性网络化系统的H_∞控制

H_∞ control of nonlinear networked systems with state quantization

鉴于网络数字通信的特点,研究非线性网络化系统的状态量化反馈H_∞控制问题.首先,同时考虑到网络的诱导时延、数据丢包和信号量化,建立闭环系统的采样模型;然后,结合区间时滞分割法,将其转化为状态中附加两个时滞变量的分段连续模糊系统;再利用时滞系统方法和对数量化器的扇形界格式,对闭环模糊系统进行了H_∞性能分析和H_∞控制器综合;最后,通过仿真例子验证了所提方法的可行性.

The H∞ control problem of nonlinear networked systems with state quantization owing to the digital communication characteristic of network is investigated. Firstly, with simultaneous consideration of network-induced delays, data packet dropouts and signal quantization, the sampled-data model of closed-loop system is formulated. Then a piecewise continuous fuzzy system with two additive delay components in the state is developed by applying the interval time-varying delay partitioning approach. Subsequently, by using the delay system approach and the sector bound method of logarithmic quantizer, the H∞ performance analysis and H∞ controller synthesis are solved for the closed-loop fuzzy system accordingly. Finally, a simulation example shows the availability of the proposed method.