Almost optimal adaptive LQ control: SISO case

Jasper Daams; Jan Willem Polderman

doi:10.1007/s004980200003

Almost optimal adaptive LQ control: SISO case

Jasper Daams, Jan Willem Polderman

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

6 Citations (Scopus)

Abstract

In this paper an almost optimal indirect adaptive controller for input/output dynamical systems is proposed. The control part of the adaptive control scheme is based on a modified LQ control law: by adding a time-varying gain to the certainty equivalent control law the conflict between identification and control is avoided.

Original language	English
Pages (from-to)	71-100
Number of pages	30
Journal	Mathematics of control, signals and systems
Volume	15
Issue number	1
DOIs	https://doi.org/10.1007/s004980200003
Publication status	Published - 2002

Keywords

Adaptive control
LQ control
Riccati equation
Excitation
Stability radius

Access to Document

10.1007/s004980200003

Cite this

@article{ea55c83e75d14a1b8ef0ef651df8a55c,

title = "Almost optimal adaptive LQ control: SISO case",

abstract = "In this paper an almost optimal indirect adaptive controller for input/output dynamical systems is proposed. The control part of the adaptive control scheme is based on a modified LQ control law: by adding a time-varying gain to the certainty equivalent control law the conflict between identification and control is avoided.",

keywords = "Adaptive control, LQ control, Riccati equation, Excitation, Stability radius",

author = "Jasper Daams and Polderman, {Jan Willem}",

year = "2002",

doi = "10.1007/s004980200003",

language = "English",

volume = "15",

pages = "71--100",

journal = "Mathematics of control, signals and systems",

issn = "0932-4194",

publisher = "Springer",

number = "1",

}

TY - JOUR

T1 - Almost optimal adaptive LQ control: SISO case

AU - Daams, Jasper

AU - Polderman, Jan Willem

PY - 2002

Y1 - 2002

N2 - In this paper an almost optimal indirect adaptive controller for input/output dynamical systems is proposed. The control part of the adaptive control scheme is based on a modified LQ control law: by adding a time-varying gain to the certainty equivalent control law the conflict between identification and control is avoided.

AB - In this paper an almost optimal indirect adaptive controller for input/output dynamical systems is proposed. The control part of the adaptive control scheme is based on a modified LQ control law: by adding a time-varying gain to the certainty equivalent control law the conflict between identification and control is avoided.

KW - Adaptive control

KW - LQ control

KW - Riccati equation

KW - Excitation

KW - Stability radius

U2 - 10.1007/s004980200003

DO - 10.1007/s004980200003

M3 - Article

SN - 0932-4194

VL - 15

SP - 71

EP - 100

JO - Mathematics of control, signals and systems

JF - Mathematics of control, signals and systems

IS - 1

ER -