Title :
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.
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;
Conference_Titel :
Intelligent Control, 2005. Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation
Conference_Location :
Limassol
Print_ISBN :
0-7803-8936-0
DOI :
10.1109/.2005.1467115