基于分段线性化Hammerstein模型的自校正控制器设计  

Design of a self tuning controller based on a piecewise-linear Hammerstein model

作　　者：张弼[1] 毛志忠[1,2] 

机构地区：[1]东北大学信息科学与工程学院,沈阳110004 [2]东北大学流程工业综合自动化国家重点实验室,沈阳110004

出　　处：《控制与决策》2015年第3期417-424,共8页Control and Decision

基　　金：国家自然科学基金项目(61333006)

摘　　要：许多实际系统可以表示为不连续非线性块状结构模型,其不连续非线性部分常采用符号函数参数化,该处理方法适用于递推参数辨识,但自适应控制器的设计较为困难.鉴于此,针对一类含有不连续非线性环节的Hammerstein模型,采用一系列线性分段函数参数化不连续非线性环节,提出自校正控制方法.根据线性分段函数的逆函数特性,求解自适应控制律.理论分析证明了闭环系统的稳定性,仿真结果验证了所提出方法的有效性.Many actual systems can be represented as discontinuous nonlinear block oriented models. Switch functions are often applied to describe discontinuous parts. However, this formulation seems only suitable for recursive parameter estimation but not appropriate for adaptive controller design. Therefore, a self tuning control scheme is proposed for a class of Hammerstein model with discontinuous nonlinearity, which is parameterized by a number of piecewise-linear functions.The adaptive control law is derived from the inversion of the piecewise-linear function. Theoretical analysis proves the stability of the closed-loop system. The simulation results show the effectiveness of the proposed algorithm.

关 键 词：非线性块状结构模型 不连续非线性 自校正控制 稳定性分析 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]