Linear-quadratic regulator with output feedback and optimal observer

Author

Gessing, Ryszard

Author_Institution

Instytut Automatyki, Politechnika Slaska, Gliwice, Poland

Volume

4

fYear

2001

fDate

2001

Firstpage

3171

Abstract

It is shown that by means of an appropriate choice of the coefficients of the regulator of the order smaller by one from that of the plant, it is possible to obtain the freely prescribed poles of the closed loop (CL) system. Then, the algorithm of design of the regulator-observer for the CL system with output feedback is described. The resulting CL system retains all the poles of the CL system with linear-quadratic regulator and state feedback and has additionally freely chosen poles coming from the observer. Next, it is shown that the designed regulator contains the Luenberger observer, which is optimal for adequate initial conditions. For the plants with a zero pole, under stepwise excitations, the deterministic equivalence principle is proved to be true

Keywords

closed loop systems; linear quadratic control; observers; poles and zeros; state feedback; transfer functions; Luenberger observer; SISO systems; closed loop system; linear-quadratic control; optimal control; poles; state feedback; transfer-function; Algorithm design and analysis; Control systems; Hydrogen; Infinite horizon; Linear feedback control systems; Output feedback; Poles and zeros; Regulators; State feedback; Steady-state;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2001. Proceedings of the 2001

Conference_Location

Arlington, VA

ISSN

0743-1619

Print_ISBN

0-7803-6495-3

Type

conf

DOI

10.1109/ACC.2001.946409

Filename

946409