Fuzzy Peak-to-Peak Filtering for Networked Nonlinear Systems With Multipath Data Packet Dropouts

In this paper, the peak-to-peak filtering problem is studied for a class of networked nonlinear systems. The nonlinear physical plant is represented by the Takagi–Sugeno fuzzy system. Assume that the data packet dropout phenomenon occurs when the measurement output signal and the performance output signal of the nonlinear systems are transmitted by the digital communication channel. Two stochastic variables satisfying the Bernoulli random binary distribution are used to model this phenomenon. The motive of this paper is to design a peak-to-peak filter such that the filtering error system is stochastically stable and the prescribed peak-to-peak performance index is guaranteed. The developed theoretical results for designing a peak-to-peak filter are expressed in the form of linear matrix inequalities. Finally, a simulation example is presented to illustrate the validity of theoretical analysis.

本文针对一类网络化非线性系统研究了峰峰值滤波问题。非线性物理对象由高木 - 关野模糊系统表示。假设当非线性系统的测量输出信号和性能输出信号通过数字通信信道传输时发生数据包丢失现象。使用两个满足伯努利随机二进制分布的随机变量对该现象进行建模。本文的目的是设计一个峰峰值滤波器，使得滤波误差系统是随机稳定的，并保证规定的峰峰值性能指标。所得到的用于设计峰峰值滤波器的理论结果以线性矩阵不等式的形式表示。最后，给出一个仿真例子来说明理论分析的有效性。