An approximation method for the nonlinear servomechanism problem

Author

Huang, Jie ; Rugh, Wilson J.

Author_Institution

Dept. of Electr. & Comput. Eng., Johns Hopkins Univ., Baltimore, MD, USA

Volume

37

Issue

9

fYear

1992

fDate

9/1/1992 12:00:00 AM

Firstpage

1395

Lastpage

1398

Abstract

An analysis of the nonlinear servomechanism problem by the authors (1992) is shown to lead naturally to a straightforward and practical method for solving the problem in an approximate sense. The results are based on a kth-order approximate solution for the plant zero-error manifold, and corresponding control law constructions are shown to yield kth-order asymptotic tracking and disturbance rejection properties for the closed-loop system. The approach is illustrated by application to the ball and beam system

Keywords

approximation theory; closed loop systems; control system analysis; nonlinear control systems; servomechanisms; stability; tracking; approximation method; ball and beam system; closed-loop system; control law constructions; control system analysis; disturbance rejection; kth-order approximate solution; kth-order asymptotic tracking; nonlinear servomechanism problem; stability; zero-error manifold; Approximation methods; Artificial intelligence; Control systems; Eigenvalues and eigenfunctions; Military computing; Partial differential equations; Servomechanisms; Signal generators; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.159580

Filename

159580