线性系统对偶Luenberger观测器设计

Dual Luenberger observer design for linear systems

提出了线性系统对偶Luenberger观测器的参数化设计方法.基于一类广义Sylvester矩阵方程的显式参数化解,根据一些自由参数给出了对偶Luenberger观测器所有增益矩阵的参数化表达.该设计方法能提供所有的设计自由度,它们能进一步用来实现系统的其他性能指标.数值例子显示了该方法的设计过程.

A parametric approach is proposed for the design of the dual Luenberger observers of linear systems. Based on a complete parametric solution to a class of generalized Sylvester matrix equations, parametric expressions for all the gain matrices of the observer are derived. The approach provides all the degrees of design freedom, which can be utilized to achieve some additional design requirements. An illustrative example also shows the design procedure of the proposed approach.