Fuzzy reduced-order filtering for nonlinear parabolic PDE systems with limited communication

Zhen Zhang, Xiaona Song, Chunlei Li, Xiangliang Sun
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引用次数: 1

Abstract

This paper investigates a fuzzy reduced-order filter design for a class of nonlinear partial differential equation (PDE) systems. First, a Takagi-Sugeno (T-S) fuzzy model is considered to reconstruct the nonlinear PDE system. Then, the employment of an event-triggered mechanism (ETM) can effectively avoid signal redundancy and improve network resource utilization. Furthermore, based on the advantages of the fuzzy model and ETM, several Lyapunov functions are designed and the proposed filter parameters are obtained by adopting linear matrix inequality methods to satisfy the asymptotic stability condition with H∞ performance. Finally, a simulation example is presented to demonstrate the practicality and effectiveness of the proposed filter design method.
有限通信非线性抛物型PDE系统的模糊降阶滤波
研究一类非线性偏微分方程系统的模糊降阶滤波器设计。首先,采用Takagi-Sugeno (T-S)模糊模型对非线性PDE系统进行重构。然后,采用事件触发机制(ETM)可以有效地避免信号冗余,提高网络资源利用率。基于模糊模型和ETM的优点,设计了多个Lyapunov函数,并采用线性矩阵不等式方法获得了滤波器参数,使其满足H∞性能的渐近稳定条件。最后通过仿真实例验证了所提滤波器设计方法的实用性和有效性。
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