摘要
研究一类不确定离散切换系统的鲁棒滑模控制问题.针对传统变结构控制应用于离散系统时易失去其鲁棒性的问题,提出一种采用带调整参数递归式滑模函数的离散滑模控制策略,改进了离散时间滑模控制系统的趋近律方法,并针对不确定因素的影响设计了无须知道扰动上界的估计器.应用Lyapunov函数给出了离散切换系统的滑动模态可达条件,并设计了离散切换规则.仿真结果表明了所提出设计方法的有效性.
The robust sliding mode control problem is studied for a class of uncertain discrete-time switched hybrid systems. For the problem that the robustness is easily to be lost when traditional variable structure control theory is applied to the discrete system, a discrete-time sliding mode control scheme is proposed by using a recursive sliding mode function with a tuning parameter. The reaching law method is improved. A disturbance estimator is designed for the uncertainty without knowing its upper band. Moreover, based on Lyapunov function, a sliding mode reaching condition and a switching rule are given. A numerical example illustrates the effectiveness of the proposed design scheme.
出处
《控制与决策》
EI
CSCD
北大核心
2009年第5期789-793,共5页
Control and Decision
基金
哈尔滨市青年科技创新人才研究专项基金项目(2007RFQXG052)
关键词
切换系统
回归式滑模函数
干扰估计
切换律
鲁棒镇定
Switched systems
Recursive sliding function
Disturbance estimation
Switching strategy
Robust stability