On LQ optimal control: a frequency approach

Author

Zhu, K.Y.

Author_Institution

Sch. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore

Volume

4

fYear

1993

fDate

19-21 Oct. 1993

Firstpage

135

Abstract

This paper presents a new approach to long-range predictive control based on a quadratic cost function. The controlled system is always described by an input-output, discrete time model, and the output predictions of the system which are required in the solution of the problem, are expressed in a new form which allows one to minimize the quadratic cost function in a way similar to in LQ optimal control. Then the resulting control law computes the control gain matrix via the solution of the standard Riccati equation. It is shown that quadratic predictive control synthesis from a input-output representation of systems can be viewed as a particular case of the general linear quadratic optimal control (LQG).<>

Keywords

Riccati equations; control system synthesis; discrete time systems; linear quadratic control; predictive control; LQ optimal control; LQG control; control gain matrix; frequency approach; input-output discrete time model; long-range predictive control; quadratic cost function; quadratic cost function minimisation; quadratic predictive control synthesis; standard Riccati equation; Control system synthesis; Control systems; Cost function; Frequency; Optimal control; Prediction algorithms; Predictive control; Predictive models; Riccati equations; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

TENCON '93. Proceedings. Computer, Communication, Control and Power Engineering.1993 IEEE Region 10 Conference on

Conference_Location

Beijing, China

Print_ISBN

0-7803-1233-3

Type

conf

DOI

10.1109/TENCON.1993.320452

Filename

320452