The feedforward tracking control for linear systems with quadratic performance

Author

Gao Gang ; Wang Jinzhit

Author_Institution

Dept. of Mech. & Aerosp. Eng., Peking Univ., Beijing, China

fYear

2011

fDate

22-24 July 2011

Firstpage

3834

Lastpage

3839

Abstract

In this paper the tracking problem with reference tracking signals and input signals being written as the form of Fourier series is considered. A method of feedforward tracking control based on the frequency preserving property of stable linear system is proposed. A direct relationship between control input and reference output for linear system is given which can be expressed as the linear transformation of Fourier coefficients between them. A quadratic performance with combined constraints of tracking error and control input is presented and the equivalence between the optimal problem under this performance and the least mean square problem is established.

Keywords

Fourier transforms; feedforward; least mean squares methods; linear systems; optimal control; position control; quadratic programming; stability; Fourier coefficients; LMS; control input; feedforward tracking control; frequency preserving property; input signals; least mean square problem; linear system stability; linear transformation; optimal problem; quadratic performance; reference output; reference tracking signals; tracking error; Cost function; Equations; Feedforward neural networks; Fourier series; Linear systems; Trajectory; Transfer functions; Feedforward Control; Fourier Series; Quadratic Performance; Tracking Problem;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6001366