Zheng Qunxian, Zhang Hongbin
Anhui Key Laboratory of Detection Technology and Energy Saving Devices, Anhui Polytechnic University, PR China; College of Electrical Engineering, Anhui Polytechnic University, Wuhu, Anhui, 241000, PR China.
School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, PR China.
ISA Trans. 2018 Apr;75:52-63. doi: 10.1016/j.isatra.2018.02.014. Epub 2018 Feb 22.
This paper investigates the mixed H and passive filtering problem for switched Takagi-Sugeno (T-S) fuzzy systems with average dwell time (ADT) in both continuous-time and discrete-time contexts. To deal with this problem, a new performance index is proposed for switched systems. This new performance index can be viewed as the mixed weighted H and passivity performance index. Based on this new performance index, the weighted H filtering problem and the passive filtering problem for switched T-S fuzzy systems can be solved in a unified framework. Combining the multiple Lyapunov functions approach with a matrix decoupling technique, new sufficient conditions for the existence of mixed weighted H and passive filters are obtained for switched T-S fuzzy systems. All these conditions are expressed in terms of linear matrix inequalities (LMIs). The desired filters can be constructed by solving these LMIs. Finally, numerical examples and practical examples are provided.
本文研究了连续时间和离散时间环境下具有平均驻留时间（ADT）的切换Takagi-Sugeno（T-S）模糊系统的混合H和无源滤波问题。为了解决这个问题，针对切换系统提出了一种新的性能指标。这个新的性能指标可以看作是混合加权H和无源性能指标。基于这个新的性能指标，切换T-S模糊系统的加权H滤波问题和无源滤波问题可以在一个统一的框架内得到解决。将多重Lyapunov函数方法与矩阵解耦技术相结合，得到了切换T-S模糊系统存在混合加权H和无源滤波器的新的充分条件。所有这些条件都用线性矩阵不等式（LMI）表示。通过求解这些LMI可以构造出期望的滤波器。最后，给出了数值算例和实际例子。
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