Department of Electronic Engineering, Feng-Chia University, Taichung, Taiwan.
ISA Trans. 2011 Oct;50(4):548-56. doi: 10.1016/j.isatra.2011.06.001. Epub 2011 Jul 8.
This paper presents a novel adaptive fuzzy logic controller (FLC) equipped with an adaptive algorithm to achieve H(∞) synchronization performance for uncertain fractional order chaotic systems. In order to handle the high level of uncertainties and noisy training data, a desired synchronization error can be attenuated to a prescribed level by incorporating fuzzy control design and H(∞) tracking approach. Based on a Lyapunov stability criterion, not only the performance of the proposed method is satisfying with an acceptable synchronization error level, but also a rather simple stability analysis is performed. The simulation results signify the effectiveness of the proposed control scheme.
本文提出了一种新颖的自适应模糊逻辑控制器（FLC），配备自适应算法，以实现不确定分数阶混沌系统的 H(∞)同步性能。为了处理高度不确定性和嘈杂的训练数据，通过结合模糊控制设计和 H(∞)跟踪方法，可以将期望的同步误差衰减到规定的水平。基于李雅普诺夫稳定性准则，不仅提出的方法的性能令人满意，具有可接受的同步误差水平，而且还进行了相当简单的稳定性分析。仿真结果表明了所提出的控制方案的有效性。
