A NEW ADAPTIVE ESTIMATOR FOR LINEAR-SYSTEMS

被引：7

作者：

RIMON, E

NARENDRA, KS

机构：

[1] Department of Electrical Engineering, Center for Systems Science, Yale University, Yale Station, New Haven

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1992年 / 37卷 / 03期

关键词：

D O I：

10.1109/9.119649

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this note, we propose a new adaptive estimator for the linear time-invariant plant x(p) = A(p)x(p) + B(p)u, whose parameters A(p) and B(p) are unknown. The proposed estimator is of the form x(p) = A(p)x(p) + B(p)u A(p) = - [ex(P)T] B(p) = - [eu(T)] and is (globally) uniformly asymptotically stable, provided that u is persistently exciting. In particular, there is no need to solve the Lyapunov equation A(P)(T)P + PA(p) = -Q < 0 for a positive definite matrix P. This result also implies that in many other adaptive situations it is not necessary to explicitly solve the Lyapunov equation.

引用

页码：410 / 412

页数：3