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讨论一类局部线性化不可控模态对应为零根的非线性系统 ,并由中心流形和规范形方法 ,在所给结果的基础上 ,直接从已给方程的系数与偏导数之间的关系设计出反馈控制律 ,从而使原系统局部渐进稳定
Abstract：A class of nonlinear systems whose linearizations contain uncontrollable modes having only zero engivalues is discussed.By center mainfold theory and normal forms,a methodology of designing a feedback controller is presented,which guarantees the original system locally asymptotically stable,directly from the relation between the coefficients and the values of the partial derivatives of the equation,based on the given results.
[1 ] Aeyels D.Stablization of a class of nonlinear systems by a smooth feedback control.Systems & Control Letters,1 985,5:2 89～ 2 94 .
[2 ] Behtash S,Sastry S.Stabilization of nonlinear systems with uncontrollable linearization.IEEE Transactions onAutomatic Control,1 988,33(6) :585～ 590
基本信息:
中图分类号:O231.2
引用信息:
[1]武利强,崔红新.一类线性化不可控非线性系统的镇定问题[J].郑州大学学报(自然科学版),2001(01):19-22.
2001-03-25
2001-03-25