Design of infinite horizon predictive LQ controller

Author

Fikar, M. ; Engell, S. ; Dostal, P.

Author_Institution

Dept. of Process Control, CMTF STU, Bratislava, Slovakia

fYear

1997

fDate

1-7 July 1997

Firstpage

2737

Lastpage

2742

Abstract

A singlevariable controller is developed in the predictive control framework based upon minimization of the LQ criterion with infinite output and control horizons. The infinite version of the predictive cost function results in better stability properties of the controller and still enables to incorporate contraints into the control design. The constrained LQ controller (CLQ) consists of two parts: time-invariant nominal LQ controller and time-variant part given by Youla-Kucera parametrization of all stabilizing controllers that takes care of constraints.

Keywords

constraint theory; control system synthesis; infinite horizon; linear quadratic control; minimisation; predictive control; stability; time-varying systems; CLQ; LQ criterion; Youla-Kucera parametrization; constrained LQ controller; control horizons; infinite horizon predictive LQ controller design; infinite output; linear quadratic control; minimization; predictive cost function; single variable controller; stability properties; stabilizing controllers; time-invariant nominal LQ controller; time-variant part; Closed loop systems; Cost function; Mathematical model; Polynomials; Predictive control; Standards; Discrete time; Optimal control; Predictive control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1997 European

Conference_Location

Brussels

Print_ISBN

978-3-9524269-0-6

Type

conf

Filename

7082523