基于隐Lyapunov函数的软变结构控制:一种控制策略  

Soft variable structure control based on implicit Lyapunov functions:A control strategy

作　　者：张彩虹[1,2] 刘云龙[1] 高存臣[1] 孟波[1] 

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100 [2]青岛大学自动化工程学院,山东青岛266071

出　　处：《控制与决策》2012年第1期71-76,共6页Control and Decision

基　　金：国家自然科学基金项目(60974025)

摘　　要：针对变结构控制的抖振问题,基于隐Lyapunov函数,提出一种新的控制策略:软变结构控制.首先给出软变结构控制的定义和控制器的构造方法;然后设计软变结构控制器和隐Lyapunov区域,给出了控制不受限和控制受限两种情形的软变结构控制,同时,分析了带有状态观测器的软变结构控制.软变结构控制是无滑模的变结构控制,能有效削弱抖振,保持高速调节速度和缩短趋近时间.仿真实例表明了该方法的有效性和可行性.For the problem of chattering for variable structure control system, based on implicit Lyapunov functions, a new control strategy, soft variable structure control（SVSC）, is presented. Firstly, the definition of SVSC and the construction of its controller are given. SVSCs for unrestricted controls and restricted controls are given by employing implicit Lyapunov districts and designing soft variable structure controllers, and SVSC systems with state observer are analyzed at the same time. SVSC is developed based on variable structure control lacking sliding modes, which can decrease the system chattering effectively, keep regulation rates high and shorten settling times. The simulation result shows the feasibility and effectiveness of the proposed approach.

关 键 词：非线性控制 隐Lyapunov函数 软变结构控制 状态观测器 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]