【摘要】 基于含未知输入的非方广义线性系统,研究了该系统具有环路复现特性(LTR)的干扰解耦观测器设计问题。通过矩阵的初等变换和广义逆变换,将非方广义系统等价地转化为正常状态空间的广义线性系统,并运用有关定理给出观测器具有干扰解耦和环路复现特性(LTR)的充要条件,经分析可知,系统具有环路复现特性的充要条件是系统对于任何未知输入干扰解耦,则具有环路复现特性的干扰解耦观测器的设计问题转化为系统关于任何扰动都是解耦的。进一步由广义Sylvester矩阵方程的显式通解出发,指出了观测器的参数化设计方法,同时,给出了观测器的设计算法。运用Matlab进行数字仿真分析,证明该方法是有效的。更多还原

【Abstract】 We studied the problem about the design of disturbance decoupling observer with LTR based on non-regular descriptor linear systems with unknown inputs.Via basic and descriptor adverse transformation of matrix,an equivalent standard linear system is derived.Sufficient and necessary conditions are established for observers with disturbance decoupling and LTR in systems.Analysis showed that the necessary and sufficient condition for observers with LTR is disturbance decoupling to any undnown inputs.So it is con verted to the problem that observers are designed with disturbance decoupling.Based on an explicit general solution to a type of generalized Slyvester matrix equations,a parametric design approach for observers is proposed.And the arithmetic is given about design of observers.A numerical simulation illustrates the effect of the proposed approach with Matlab.更多还原