A Characterization of All Linear Passivizing Input-Output Transformations of a Passive-Short System: The SISO Case

Miel Sharf, Daniel Zelazo

Research output: Contribution to journalArticlepeer-review

Abstract

Passivity theory is one of the cornerstones of control theory providing a systematic way to study the stability of interconnected systems. It is well known that many systems are not passive, and must be passivized in order to be included in the framework of passivity theory. Input-output (loop) transformations are the most general tool for passivizing systems. In this paper, we propose a characterization of all possible input-output transformations that map a system with given shortage of passivity to a system with prescribed excess of passivity. We do so by using the connection between passivity theory and cones for SISO systems.

Original languageEnglish
Pages (from-to)1
Number of pages1
JournalIEEE Control Systems Letters
DOIs
StateAccepted/In press - 2024

Keywords

  • Dynamical systems
  • feedback passivation
  • nonlinear systems
  • Passivation
  • passivity theory
  • Standards
  • Symmetric matrices
  • Systematics
  • Trajectory
  • Transforms

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization

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