Negative imaginary synthesis via dynamic output feedback and static state feedback: A Riccati approach

Gabriela Salcan Reyes; Alexander Lanzon

doi:10.1016/j.automatica.2019.02.055

Negative imaginary synthesis via dynamic output feedback and static state feedback: A Riccati approach

Gabriela Salcan Reyes, Alexander Lanzon

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

137 Downloads (Pure)

Abstract

This paper is concerned with the study of strictly negative imaginary (SNI) systems and the problem of synthesizing a controller rendering a linear fractional system SNI. First, a set of necessary and sufficient conditions are developed for an SNI lemma without imposing minimality assumptions. The proposed lemma supports both the analysis and synthesis of SNI systems. Then, a set of sufficient conditions, based on the solution of algebraic Riccati equations, is provided for the solution of the SNI synthesis problem. Finally, an illustrative example demonstrates the usefulness of the results given herein.

Original language	English
Pages (from-to)	220-227
Number of pages	8
Journal	Automatica
Volume	104
Early online date	19 Mar 2019
DOIs	https://doi.org/10.1016/j.automatica.2019.02.055
Publication status	Published - 2019

Keywords

Algebraic Riccati equations
Control system synthesis
Negative imaginary systems
Output feedback
Positive real
Robust control
Uncertain dynamic systems

Access to Document

10.1016/j.automatica.2019.02.055

AUTOMATICA-_SalcanReyes-LanzonAccepted author manuscript, 757 KBLicence: CC BY-NC-ND

Cite this

@article{b90ae514ce724d169dab69b0ad62279c,

title = "Negative imaginary synthesis via dynamic output feedback and static state feedback: A Riccati approach",

abstract = "This paper is concerned with the study of strictly negative imaginary (SNI) systems and the problem of synthesizing a controller rendering a linear fractional system SNI. First, a set of necessary and sufficient conditions are developed for an SNI lemma without imposing minimality assumptions. The proposed lemma supports both the analysis and synthesis of SNI systems. Then, a set of sufficient conditions, based on the solution of algebraic Riccati equations, is provided for the solution of the SNI synthesis problem. Finally, an illustrative example demonstrates the usefulness of the results given herein.",

keywords = "Algebraic Riccati equations, Control system synthesis, Negative imaginary systems, Output feedback, Positive real, Robust control, Uncertain dynamic systems",

author = "{Salcan Reyes}, Gabriela and Alexander Lanzon",

year = "2019",

doi = "10.1016/j.automatica.2019.02.055",

language = "English",

volume = "104",

pages = "220--227",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier BV",

}

TY - JOUR

T1 - Negative imaginary synthesis via dynamic output feedback and static state feedback: A Riccati approach

AU - Salcan Reyes, Gabriela

AU - Lanzon, Alexander

PY - 2019

Y1 - 2019

N2 - This paper is concerned with the study of strictly negative imaginary (SNI) systems and the problem of synthesizing a controller rendering a linear fractional system SNI. First, a set of necessary and sufficient conditions are developed for an SNI lemma without imposing minimality assumptions. The proposed lemma supports both the analysis and synthesis of SNI systems. Then, a set of sufficient conditions, based on the solution of algebraic Riccati equations, is provided for the solution of the SNI synthesis problem. Finally, an illustrative example demonstrates the usefulness of the results given herein.

AB - This paper is concerned with the study of strictly negative imaginary (SNI) systems and the problem of synthesizing a controller rendering a linear fractional system SNI. First, a set of necessary and sufficient conditions are developed for an SNI lemma without imposing minimality assumptions. The proposed lemma supports both the analysis and synthesis of SNI systems. Then, a set of sufficient conditions, based on the solution of algebraic Riccati equations, is provided for the solution of the SNI synthesis problem. Finally, an illustrative example demonstrates the usefulness of the results given herein.

KW - Algebraic Riccati equations

KW - Control system synthesis

KW - Negative imaginary systems

KW - Output feedback

KW - Positive real

KW - Robust control

KW - Uncertain dynamic systems

UR - http://www.scopus.com/inward/record.url?scp=85063027091&partnerID=8YFLogxK

U2 - 10.1016/j.automatica.2019.02.055

DO - 10.1016/j.automatica.2019.02.055

M3 - Article

SN - 0005-1098

VL - 104

SP - 220

EP - 227

JO - Automatica

JF - Automatica

ER -

Negative imaginary synthesis via dynamic output feedback and static state feedback: A Riccati approach

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this