Filtering for Switched T–S Fuzzy Systems With Persistent Dwell Time
研究了具有持续驻留时间的一类切换T-S模糊系统的H无穷滤波器设计，先推导了稳定性与L2增益，再设计全阶滤波器保证全局一致渐近稳定和噪声衰减性能，并用算例验证了有效性。
The H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> filter design for a class of switched Takagi-Sugeno (T-S) fuzzy systems with persistent dwell time (PDT) is investigated in this paper. The considered switched fuzzy systems contain a limited number of subsystems and each local subsystem is represented by the well-known T-S fuzzy model. Compared with the dwell time (DT) switching or average DT switching that attracted quantities of interests over the last decade, the PDT switching considered in this paper is known to be more general. The stability and £ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -gain analysis for switched systems with PDT switching are derived first, based on which a set of full-order H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> filter is designed to guarantee the global uniform asymptotic stability with a prescribed non-weighted H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> noise attenuation performance for the resulting filtering error system. Finally, the effectiveness of the provided method is illustrated with an example.