A Characterization of Passivizing Input-Output Transformations of Nonlinear MIMO Systems

Miel Sharf; Daniel Zelazo

doi:https://doi.org/10.1109/LCSYS.2024.3513238

A Characterization of Passivizing Input-Output Transformations of Nonlinear MIMO Systems

Miel Sharf, Daniel Zelazo

Aerospace Engineering

Technion - Israel Institute of Technology

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

Abstract

This letter provides a characterization of linear passivizing input-output transformations for MIMO systems with known passivity indices. Building on recent results for SISO systems, we show that any transformation mapping an I/O ρ,ν -passive MIMO system to an I/O (ρ∗,ν∗) -passive system can be expressed as the product of three matrices - two depending on the original and desired passivity indices, and a matrix satisfying a matrix inequality. This parameterization enables formulation of optimal passivation problems that we explore as an application example.

Original language	English
Pages (from-to)	2733-2738
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	8
DOIs	https://doi.org/10.1109/LCSYS.2024.3513238
State	Published - 2024

Keywords

Feedback passivation
nonlinear systems
passivity theory

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Control and Optimization

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https://doi.org/10.1109/LCSYS.2024.3513238

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title = "A Characterization of Passivizing Input-Output Transformations of Nonlinear MIMO Systems",

abstract = "This letter provides a characterization of linear passivizing input-output transformations for MIMO systems with known passivity indices. Building on recent results for SISO systems, we show that any transformation mapping an I/O ρ,ν -passive MIMO system to an I/O (ρ∗,ν∗) -passive system can be expressed as the product of three matrices - two depending on the original and desired passivity indices, and a matrix satisfying a matrix inequality. This parameterization enables formulation of optimal passivation problems that we explore as an application example.",

keywords = "Feedback passivation, nonlinear systems, passivity theory",

author = "Miel Sharf and Daniel Zelazo",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.",

year = "2024",

doi = "https://doi.org/10.1109/LCSYS.2024.3513238",

language = "الإنجليزيّة",

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AB - This letter provides a characterization of linear passivizing input-output transformations for MIMO systems with known passivity indices. Building on recent results for SISO systems, we show that any transformation mapping an I/O ρ,ν -passive MIMO system to an I/O (ρ∗,ν∗) -passive system can be expressed as the product of three matrices - two depending on the original and desired passivity indices, and a matrix satisfying a matrix inequality. This parameterization enables formulation of optimal passivation problems that we explore as an application example.

KW - Feedback passivation

KW - nonlinear systems

KW - passivity theory

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U2 - https://doi.org/10.1109/LCSYS.2024.3513238

DO - https://doi.org/10.1109/LCSYS.2024.3513238

M3 - مقالة

SN - 2475-1456

VL - 8

SP - 2733

EP - 2738

JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

ER -

A Characterization of Passivizing Input-Output Transformations of Nonlinear MIMO Systems

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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