Li Tzuu-Hseng, Tsai Shun-Hung, Lee Jia-Zhen, Hsiao Ming-Ying, Chao Chan-Hong
aiRobots Laboratory, Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, R.O.C.
IEEE Trans Syst Man Cybern B Cybern. 2008 Apr;38(2):510-27. doi: 10.1109/TSMCB.2007.914706.
The main theme of this paper is to present robust fuzzy controllers for a class of discrete fuzzy bilinear systems. First, the parallel distributed compensation method is utilized to design a fuzzy controller, which ensures the robust asymptotic stability of the closed-loop system and guarantees an H(infinity) norm-bound constraint on disturbance attenuation for all admissible uncertainties. Second, based on the Schur complement and some variable transformations, the stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities. Finally, the validity and applicability of the proposed schemes are demonstrated by a numerical simulation and the Van de Vusse example.
本文的主题是为一类离散模糊双线性系统提出鲁棒模糊控制器。首先，利用并行分布补偿方法设计模糊控制器，该控制器确保闭环系统的鲁棒渐近稳定性，并保证对所有允许的不确定性在干扰抑制方面具有H无穷范数约束。其次，基于舒尔补和一些变量变换，通过线性矩阵不等式给出了整个模糊控制系统的稳定性条件。最后，通过数值仿真和范德武斯实例验证了所提方案的有效性和适用性。
