A Feedback Compensation Scheme for the Linear Quadratic Regulator with Zero End-Point

Author

Geri, Walter ; Marro, Giovanni ; Ntogramatzidis, Lorenzo

Author_Institution

Dipt. di EIettronica, Informatica e Sistemistica, Bologna Univ.

fYear

2005

fDate

27-29 June 2005

Firstpage

791

Lastpage

795

Abstract

This paper focuses on the implementation of a state-feedback compensator for the solution of the linear quadratic control problem with an arbitrary initial state and with null end-point for discrete-time systems. The regulator, which ensures internal stability of the closed-loop system, is linear time-invariant, and is herein described in its inner structure. The solution of the optimization problem is based on a finite horizon parametrization of the solutions of the associated extended symplectic difference equation

Keywords

closed loop systems; compensation; difference equations; discrete time systems; linear quadratic control; stability; state feedback; closed-loop system; discrete-time systems; extended symplectic difference equation; finite horizon parametrization; internal stability; linear quadratic control problem; linear time-invariance; state-feedback compensator; zero end-point; Closed-form solution; Control systems; Controllability; Difference equations; Differential equations; Linear feedback control systems; Optimal control; Regulators; Stability; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control, 2005. Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation

Conference_Location

Limassol

ISSN

2158-9860

Print_ISBN

0-7803-8936-0

Type

conf

DOI

10.1109/.2005.1467115

Filename

1467115