基于积分滑模控制的广域阻尼鲁棒控制策略  

Wide-Area Damping Robust Control Strategy Based on Integral Sliding Mode Control

作　　者：马静 郭锐 王玉慧 杨奇逊 

机构地区：[1]新能源电力系统国家重点实验室(华北电力大学),北京市昌平区102206

出　　处：《电网技术》2013年第2期362-366,共5页Power System Technology

基　　金：国家重点基础研究发展计划项目(973项目)(2012CB215200);国家自然科学基金项目(51277193;50907021;50837002);中央高校基本科研业务费专项资金项目(11MG01);教育部留学回国人员科研启动基金资助项目(教外司留[2011]1139号);河北自然科学基金项目(E2012502034)~~

摘　　要：采用混合H2/H∞鲁棒控制设计积分滑模面的过程中,由于仅使用一个公共的Lyapunov矩阵而产生了一定的保守性;与此同时,该方法也未充分考虑由于系统结构未知以及运行点变化造成的不确定性。针对这些问题,提出一种降低保守性和不确定性的广域阻尼积分滑模控制方法。该方法设计了积分形式的滑模切换函数,并通过边界层方法削弱抖振。在设计滑模面的过程中,首先将H2/H∞控制理论中的Lyapunov矩阵与系统矩阵分离,并对H2控制和H∞控制分别计算能使多面体各个顶点的约束条件均成立的矩阵,并将该矩阵取为积分滑模控制中的反馈增益矩阵,进而获得基于降低保守性且降低不确定性的积分滑模控制器。IEEE 4机2区域系统仿真结果验证了该方法的正确性和有效性。During the design of integral sliding mode surface by use of hybrid H2/H∞ robust control theory,the conservatism is stemmed from utilizing a common Lyapunov matrix only,in the meanwhile,the uncertainty caused by unknown system structure and operating point variation is not adequately considered in this method.In allusion to it,a wide-area integral sliding mode control method,which can reduce both conservatism and uncertainty,is proposed.A sliding mode switching function in integral form for the proposed method is designed,and the buffeting is weakened by boundary layer method.During the design of sliding mode surface,firstly the Lyapunov matrix in H2/H∞control theory is separated from system matrix;secondly for H2 control and H∞ control the Lyapunov matrices,which can make the constraints at polyhedral vertexes established,are calculated respectively and these Lyapunov matrices are taken as the feedback gain matrices in integral sliding mode control;finally an integral sliding mode controller based on weakened conservatism and reduced uncertainty is obtained.The correctness and effectiveness of the proposed method are verified by simulation results of IEEE 4-machine 2-area system.

关 键 词：区间振荡 积分滑模控制 H2 H∞控制理论 保守性 不确定性 

分 类 号：TM72[电气工程—电力系统及自动化]