Asynchronous Filtering for Discrete-Time Fuzzy Affine Systems With Variable Quantization Density
针对一类离散时间T-S模糊仿射系统，研究了存在时变传输延迟和测量量化时的异步H∞滤波问题，通过缩放小增益定理给出了滤波器存在的充分条件，并用小车-摆杆实例验证了有效性。
This paper is concerned with the problem of asynchronous H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> filtering for a class of discrete-time Takagi-Sugeno fuzzy affine systems against time-varying signal transmission delays and measurement quantization. The asynchrony refers to the situation that the plant state and the filter state belong to different local state space regions, and the quantization density can be adjusted to satisfy different performance requirements at different time instants. By transforming the filtering error system into an input-output form consisting of two interconnected subsystems, sufficient conditions on the existence of the desired asynchronous filter are established via the scaled small gain theorem to ensure that the closed-loop system is asymptotically stable with a prescribed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance index with the aid of a novel piecewise Lyapunov-Krasovskii functional and the S-procedure approach. Finally, a practical example of cart-pendulum with a modified model is provided to illustrate the effectiveness of the obtained theoretical results.