广义双线性系统的二阶终端滑模控制  

Second-order terminal sliding mode control for singular bilinear systems

作　　者：梁家荣[1] 樊仲光[1] 

机构地区：[1]广西大学计算机与电子信息学院,南宁530004

出　　处：《控制与决策》2012年第2期187-192,共6页Control and Decision

基　　金：国家自然科学基金项目(61064002)

摘　　要：利用Lyapunov稳定性理论研究了一类广义双线性系统的镇定问题.通过构造特殊的二阶终端滑模超曲面,设计相应的变结构控制器,使闭环系统在有限时间内实现滑动模运动,系统的状态在平衡点渐近稳定.该设计方法能有效削弱系统的高频抖振.仿真结果验证了设计方法的可行性.Lyapunov stability theory is employed to investigate the stabilization problems in a class of singular bilinear systems.A special second-order terminal sliding mode hyper-surface is constructed and the corresponding variable structure controller is designed to make the sliding mode move in finite time and to guarantee the closed-loop systems to be asymptotically stable.The high frequency chattering of the control signals in the class of singular bilinear systems is reduced by using the method designed.Simulation results show the feasibility of the designed approach.

关 键 词：广义双线性系统 终端滑模控制 有限时间收敛 LYAPUNOV方法 渐近稳定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]