具有任意极点的函数观测器的构成法

研究了具有 m 维输出和 n 阶可观测的连续时间系统的具有任意极点最小阶数函数观测器的设计问题。文中将构成具有任意极点的函数观测器问题化为对于降阶观测器左向量的限制条件,将满阶观测器转化为一些极点向着左半复数平面无限远渐近的降阶观测器,在此基础上给出在μ≤m 时具有任意极点函数观测器的最小阶数及μ>m 时最小阶数的上限。

Construction Method of Function Observer with Arbitrary Poles

The problem is investigated of designing a minimal order functionobserver with arbitrary poles for a continuous-time observer n order systemwith an m dimensional output.A generic condition to construct a functionobserver with arbitrary poles is reduced to a restrictive condition for lefteigenvectors of a reduced order observer,and a full order observer convergesto a reduced order observer as some poles approach infinity in the left halfcomplex plane.Based on that,minimal order of function observer witharbitrary poles in μ≤m and upper bounds of minimal order in μ>m aregiven.