二维多项式非线性系统的镇定控制  

Stabilizing control of 2 D polynomial nonlinear systems

作　　者：童长飞[1] 李虎雄[1] 李怀忠[1] 

机构地区：[1]温州大学运筹与控制研究所,浙江温州325035

出　　处：《控制与决策》2010年第5期753-757,共5页Control and Decision

基　　金：国家自然科学基金项目(60674028;60674071;60604015);浙江省教育科学规划项目(SCG170)

摘　　要：针对二维多项式非线性系统,提出了基于特征根负定配置的镇定控制方法.引入自由多项式,克服系统状态矩阵描述的不惟一性,进而降低控制综合问题求解的保守性.将特征根负定配置问题转化成多项式正定性验证问题,控制器设计问题通过多项式分解最终可由半定规划工具数值求解.在所提出的处理方法的基础上,讨论了4类二维多项式非线性系统的镇定控制问题.仿真结果验证了所提出方法的有效性.A stabilizing control scheme is proposed for 2D polynomial nonlinear systems based on negative root placement.Free polynomial is introduced to overcome the demerit of non-uniqueness description of system state matrix, which reduces the conservatism of solution for control synthesis.The problem of negative root placement is transmitted into positive polynomial validation problem.By the technique of polynomial decomposition,controller design problem is finally solved numerically by semidefinite programming tools.Stabilizing control for four types of 2D polynomial systems is discussed based on the addressed technique.Simulation results show the effectiveness of the presented method.

关 键 词：非线性控制 镇定控制 特征根负定配置 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]