非线性黄金分割自适应控制

针对参数未知，高阶定常线性系统和一类复杂的非线性系统，为设计低阶控制器，并能满足不同系统的过渡过程要求。在线性黄金分割自适应控制方法的基础上，本文提出了一种新的非线性黄金分割自适应控制方法。文章首先简单介绍了被控对象的特征模型，接着重点介绍了这种控制方法的设计原理和特点。当系统能用二阶幔时变差分方程形式的简化特征模型描述时，可以证明由非线性黄金分割自适应控制器组成的闭环系统是稳定的。最后通过典型实例的仿真验证了非线性黄金自适应控制方法的有效性和优越性。

Nonlinear golden-section adaptive control

For high order linear systems with unknown parameters and a group of complicated nonlinear systems,in order to design a low order controller which can meet the requirements of transient process performance of different systems,a new nonlinear golden section adaptive control method is proposed in this paper,which is based upon the linear golden section adaptive control method.At first,the design principle and the features of the new control method and characteristic model of controlled system are introduced.Next,the stability of the closed loop system composed of the nonlinear golden section adaptive controller and the controlled plant,which can be described with a second order slowly time varying difference equation is proved.At the end of the paper,a typical simulation example is give to demonstrate the efficiency and advantages of the nonlinear golden section adaptive method.