Sliding mode fuzzy control

R. Palm
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引用次数: 398

Abstract

Fuzzy controllers work like modified sliding mode controllers (SMCs). Compared to ordinary SMCs, fuzzy controllers (FCs) have the advantage of higher robustness. The structure of a FC is derived from a nonlinear state equation representing a large class of physical systems. The following aspects are discussed: stability conditions, scaling of the state vector, choice of the switching line, and determination of the break frequencies of the controller. By the choice of an additional boundary layer in the phase plane the FC is modified so that drastic changes of the manipulated variable can be avoided, especially at the boundary of the normalized phase plane. In this context, the higher robustness of the modified FC over the modified SMC is discussed. An FC for a higher-order system is proposed.<>
滑模模糊控制
模糊控制器的工作原理类似于改进的滑模控制器(SMCs)。与普通SMCs相比,模糊控制器具有更高的鲁棒性。FC的结构是由一个非线性状态方程推导出来的,它代表了一类大的物理系统。讨论了以下几个方面:稳定性条件,状态向量的缩放,开关线路的选择,以及控制器断开频率的确定。通过在相平面中选择一个附加的边界层,可以修改FC,从而避免被操纵变量的剧烈变化,特别是在归一化相平面的边界处。在这种情况下,讨论了改进FC比改进SMC具有更高的鲁棒性。提出了一种高阶系统的FC。
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