On the infinite-horizon LQ tracker

Enrique Barbieri; Rocio Alba-Flores

doi:10.1016/S0167-6911(00)00004-9

On the infinite-horizon LQ tracker

Enrique Barbieri, Rocio Alba-Flores

Electrical & Computer Engineering

Tulane University School of Science and Engineering

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

The infinite-horizon tracking problem is considered in the linear-quadratic optimal control framework. Computationally, one term in the control signal is a constant gain, stabilizing, full-state feedback found by solving an algebraic Riccati equation; the second term involves a steady-state function ν_ss(t) that solves an auxiliary, forced differential equation with unknown initial condition. In this article, a linear system of algebraic equations is derived to determine ν_ss(0). Numerical examples are included to illustrate the result.

Original language	English
Pages (from-to)	77-82
Number of pages	6
Journal	Systems and Control Letters
Volume	40
Issue number	2
DOIs	https://doi.org/10.1016/S0167-6911(00)00004-9
State	Published - Jun 15 2000

Keywords

Linear quadratic
Optimal
Tracking

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10.1016/S0167-6911(00)00004-9

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abstract = "The infinite-horizon tracking problem is considered in the linear-quadratic optimal control framework. Computationally, one term in the control signal is a constant gain, stabilizing, full-state feedback found by solving an algebraic Riccati equation; the second term involves a steady-state function νss(t) that solves an auxiliary, forced differential equation with unknown initial condition. In this article, a linear system of algebraic equations is derived to determine νss(0). Numerical examples are included to illustrate the result.",

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AB - The infinite-horizon tracking problem is considered in the linear-quadratic optimal control framework. Computationally, one term in the control signal is a constant gain, stabilizing, full-state feedback found by solving an algebraic Riccati equation; the second term involves a steady-state function νss(t) that solves an auxiliary, forced differential equation with unknown initial condition. In this article, a linear system of algebraic equations is derived to determine νss(0). Numerical examples are included to illustrate the result.

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KW - Optimal

KW - Tracking

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On the infinite-horizon LQ tracker

Abstract

Keywords

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