摘要
通过对微分方程解的结构研究 ,运用比较原理和M -矩阵性质 ,建立了非线性关联子系统矩阵特征值与系统稳定性之间的关系 ,将一类具有相似结构的非线性系统的镇定问题转换成经典的特征值配置问题 笔者仅需假定系统的非线性 (可能含不确定性和 )成分具范数界 ,不必要求其范数满足匹配条件 ,所给出的方法为实际控制系统的工程设计提供了一套较完整的符合性能要求的镇定控制器算法 图 3 ,参
A relationship between the asymptotic stability of the nonlinear connected system and its eigenvalues is investigated by applying property of M-matrix based on analysis of the structure of differential equations,that is used to convert the controller design to the classical pole configuration.The only assumption is the nonlinear components possibly including uncertainties are bounded with universal norm,no restrictive as to the poly-matrix structure or matched condition is need.An algebraic procedure is provided for controller that is required to satisfy performances.3figs.,8refs.
出处
《湘潭矿业学院学报》
2001年第2期39-42,共4页
Journal of Xiangtan Mining Institute
基金
国家自然科学基金资助项目 (699740 31 )
湖南省自然科学基金资助项目 (0 0JJY2 0 1 1 3)
