Multiobjective controller synthesis for LTI systems

Yoshio Ebihara, Dimitri Peaucelle, Denis Arzelier

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Chapter 5 focuses on multiobjective control design problems for discrete-time LTI systems. The goal here is to design a controller that satisfy multiple (and typically conflicting) design specifications. In the state-feedback case, the advantage of the SV-LMIs readily follows from the synthesis results in Chap. 4. To handle output-feedback case, we first extend the results of Chap. 4 and provide SV-LMI-based formulas for dynamic output-feedback controller synthesis. Then, the effectiveness of the SV-LMIs in conservatism reduction can be shown almost the same way as in the state-feedback case.

Original languageEnglish
Title of host publicationCommunications and Control Engineering
PublisherSpringer International Publishing
Pages139-164
Number of pages26
Edition9781447166054
DOIs
Publication statusPublished - Jan 1 2015
Externally publishedYes

Publication series

NameCommunications and Control Engineering
Number9781447166054
ISSN (Print)0178-5354
ISSN (Electronic)2197-7119

Fingerprint

State Feedback
Synthesis
State feedback
Controller
Dynamic Output Feedback
Controllers
Output Feedback
Discrete-time Systems
Control Design
Feedback
Specification
Specifications
Design

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Control and Systems Engineering
  • Control and Optimization

Cite this

Ebihara, Y., Peaucelle, D., & Arzelier, D. (2015). Multiobjective controller synthesis for LTI systems. In Communications and Control Engineering (9781447166054 ed., pp. 139-164). (Communications and Control Engineering; No. 9781447166054). Springer International Publishing. https://doi.org/10.1007/978-1-4471-6606-1_5

Multiobjective controller synthesis for LTI systems. / Ebihara, Yoshio; Peaucelle, Dimitri; Arzelier, Denis.

Communications and Control Engineering. 9781447166054. ed. Springer International Publishing, 2015. p. 139-164 (Communications and Control Engineering; No. 9781447166054).

Research output: Chapter in Book/Report/Conference proceedingChapter

Ebihara, Y, Peaucelle, D & Arzelier, D 2015, Multiobjective controller synthesis for LTI systems. in Communications and Control Engineering. 9781447166054 edn, Communications and Control Engineering, no. 9781447166054, Springer International Publishing, pp. 139-164. https://doi.org/10.1007/978-1-4471-6606-1_5
Ebihara Y, Peaucelle D, Arzelier D. Multiobjective controller synthesis for LTI systems. In Communications and Control Engineering. 9781447166054 ed. Springer International Publishing. 2015. p. 139-164. (Communications and Control Engineering; 9781447166054). https://doi.org/10.1007/978-1-4471-6606-1_5
Ebihara, Yoshio ; Peaucelle, Dimitri ; Arzelier, Denis. / Multiobjective controller synthesis for LTI systems. Communications and Control Engineering. 9781447166054. ed. Springer International Publishing, 2015. pp. 139-164 (Communications and Control Engineering; 9781447166054).
@inbook{5030ecbcee904dd8a6291b67d08ad675,
title = "Multiobjective controller synthesis for LTI systems",
abstract = "Chapter 5 focuses on multiobjective control design problems for discrete-time LTI systems. The goal here is to design a controller that satisfy multiple (and typically conflicting) design specifications. In the state-feedback case, the advantage of the SV-LMIs readily follows from the synthesis results in Chap. 4. To handle output-feedback case, we first extend the results of Chap. 4 and provide SV-LMI-based formulas for dynamic output-feedback controller synthesis. Then, the effectiveness of the SV-LMIs in conservatism reduction can be shown almost the same way as in the state-feedback case.",
author = "Yoshio Ebihara and Dimitri Peaucelle and Denis Arzelier",
year = "2015",
month = "1",
day = "1",
doi = "10.1007/978-1-4471-6606-1_5",
language = "English",
series = "Communications and Control Engineering",
publisher = "Springer International Publishing",
number = "9781447166054",
pages = "139--164",
booktitle = "Communications and Control Engineering",
edition = "9781447166054",

}

TY - CHAP

T1 - Multiobjective controller synthesis for LTI systems

AU - Ebihara, Yoshio

AU - Peaucelle, Dimitri

AU - Arzelier, Denis

PY - 2015/1/1

Y1 - 2015/1/1

N2 - Chapter 5 focuses on multiobjective control design problems for discrete-time LTI systems. The goal here is to design a controller that satisfy multiple (and typically conflicting) design specifications. In the state-feedback case, the advantage of the SV-LMIs readily follows from the synthesis results in Chap. 4. To handle output-feedback case, we first extend the results of Chap. 4 and provide SV-LMI-based formulas for dynamic output-feedback controller synthesis. Then, the effectiveness of the SV-LMIs in conservatism reduction can be shown almost the same way as in the state-feedback case.

AB - Chapter 5 focuses on multiobjective control design problems for discrete-time LTI systems. The goal here is to design a controller that satisfy multiple (and typically conflicting) design specifications. In the state-feedback case, the advantage of the SV-LMIs readily follows from the synthesis results in Chap. 4. To handle output-feedback case, we first extend the results of Chap. 4 and provide SV-LMI-based formulas for dynamic output-feedback controller synthesis. Then, the effectiveness of the SV-LMIs in conservatism reduction can be shown almost the same way as in the state-feedback case.

UR - http://www.scopus.com/inward/record.url?scp=85042870861&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85042870861&partnerID=8YFLogxK

U2 - 10.1007/978-1-4471-6606-1_5

DO - 10.1007/978-1-4471-6606-1_5

M3 - Chapter

AN - SCOPUS:85042870861

T3 - Communications and Control Engineering

SP - 139

EP - 164

BT - Communications and Control Engineering

PB - Springer International Publishing

ER -