Lam H K, Leung Frank H F
Centre for Multimedia Signal Processing, Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong.
IEEE Trans Syst Man Cybern B Cybern. 2005 Apr;35(2):269-81. doi: 10.1109/tsmcb.2004.842417.
This paper presents a fuzzy controller, which involves a fuzzy combination of local fuzzy and global switching state-feedback controllers, for nonlinear systems subject to parameter uncertainties with known bounds. The nonlinear system is represented by a fuzzy combined Takagi-Sugeno-Kang model, which is a fuzzy combination of the global and local fuzzy plant models. By combining the local fuzzy and global switching state-feedback controllers using fuzzy logic techniques, the advantages of both controllers can be retained and the undesirable chattering effect introduced by the global switching state-feedback controller can be eliminated. The steady-state error introduced by the global switching state-feedback controller when a saturation function is used can also be removed. Stability conditions, which are related to the system matrices of the local and global closed-loop systems, are derived to guarantee the closed-loop system stability. An application example will be given to demonstrate the merits of the proposed approach.
本文提出了一种模糊控制器，它涉及局部模糊控制器和全局切换状态反馈控制器的模糊组合，用于参数不确定性有已知界限的非线性系统。非线性系统由模糊组合的高木-关野-康模型表示，该模型是全局和局部模糊对象模型的模糊组合。通过使用模糊逻辑技术将局部模糊控制器和全局切换状态反馈控制器相结合，可以保留两种控制器的优点，并消除全局切换状态反馈控制器引入的不良抖振效应。当使用饱和函数时，全局切换状态反馈控制器引入的稳态误差也可以消除。推导了与局部和全局闭环系统的系统矩阵相关的稳定性条件，以保证闭环系统的稳定性。将给出一个应用示例来证明所提方法的优点。
