基于模糊双曲模型的积分滑模控制  

Design of integral sliding mode controller based on fuzzy hyperbolic model

作　　者：杨珺[1] 张化光[1] 

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110004

出　　处：《智能系统学报》2008年第1期62-65,共4页CAAI Transactions on Intelligent Systems

基　　金：国家自然科学基金资助项目(60325311;60534010;60572070;60521003);教育部长江学者及创新团队计划资助项目(IRT0421)

摘　　要：针对一般形式的非线性系统,提出一种基于模糊双曲模型(FHM)的积分滑模控制器设计方法.利用模糊双曲模型来表述这类连续非线性系统.构建出积分滑模面,利用线性矩阵不等式(LMI)方法得到滑模动态渐近稳定的充分条件.设计了积分滑模控制器,保证了系统的状态轨迹能够在有限时间内到达滑模面上并且保持在它上面运动.仿真结果表明了该方法的有效性.An integral sliding mode controller design method is presented based on fuzzy hyperbolic model （FHM） for general form nonlinear systems. First, an FHM is employed to represent a class of nonlinear continuous-time systems. Then an integral sliding surface is constructed. A sufficient condition is derived to guarantee the asymptotical stability of the sliding dynamics in terms of linear matrix inequality （LMI）. Next, the synthesized sliding mode controller guarantees the reachability of the specified sliding surface in finite time interval. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed method.

关 键 词：积分滑模控制 模糊双曲模型 非线性系统 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]