采用可变边界层法削弱一类非线性变结构系统的抖振  

CHATTERING REDUCTION USING VARIABLE BOUNDARY LAYER SOLUTION IN A CLASS OF NONLINEAR VARIABLE STRUCTURE SYSTEMS

作　　者：李军红[1] 李兰君[1] 阳武娇[1] 

机构地区：[1]南华大学电气工程学院,衡阳421001

出　　处：《系统科学与数学》2008年第9期1084-1091,共8页Journal of Systems Science and Mathematical Sciences

摘　　要：针对一类非线性系统,提出一种削弱变结构控制系统抖振的新方法—可变边界层法,推导出变结构控制系统的稳态误差与饱和特性宽度之间定量的数学关系,通过系统的稳态误差指标可以设计出边界层宽度变化的饱和特性,从而既削弱了系统的抖振又满足系统稳态误差指标,仿真结果验证了该方法的有效性.A new method, variable boundary layer solution, is proposed in this paper for a class of nonlinear variable structure systems to restrain the chattering. The mathematical relationship between the static errors and the width of saturating property is presented. The saturating property with time-varying boundary layer width can be designed through the specification of the static errors, which can not only reduce the chattering in the system but also simultaneously satisfy the specification of the static errors. The simulation results show the validity of the method.

关 键 词：变结构控制 非线性系统 边界层 抖振 

分 类 号：O322[理学—一般力学与力学基础]