机构地区: 东北大学信息科学与工程学院
出 处: 《东北大学学报(自然科学版)》 2003年第10期945-948,共4页
摘 要: 基于非线性系统的微分几何理论,讨论了非线性奇异系统的干扰解耦问题及其可解条件·建立了系统的向量相对阶与系统可实现干扰解耦的联系·给出了非线性奇异系统干扰解耦问题可解的充分条件·并指出了这个条件也是非线性系统对应结果的直接推广·这里给出的结论与方法可用于进一步研究此类系统的输出跟踪及反馈稳定化问题· Based on the differential geometry theory on nonlinear system, the decoupling problem as shown by the topic was studied further with the solvable conditions discussed. Setting up the relation between vector relative degree in the system and the realizability of disturbance decoupling, the sufficient conditions on which the disturbance decoupling becomes realizable and the conditions to decouple the disturbance to regular nonlinear singular systems were given. The results shown above are, however, the none other but corresponding extended ones of nonlinear systems, i.e. the corresponding results when the nonlinear singular control system degenerates into a nonlinear system. The method and results suggested here is available to discuss further such problems as the output tracking of nonlinear singular system and feedback stabilization.