Controllability and observability grammians for balancing linear singularly perturbed systems

Kliti Kodra, Maja Skataric, Zoran Gajic

Research output: Contribution to conferencePaperpeer-review

Abstract

In this article we present a method to obtain an improved balancing transformation for linear singularly perturbed (SP) systems. First, an algorithm which utilizes the Chang transformation is introduced. The algorithm is used to obtain the exact controllability and observability Grammians (identical under balanced coordinates) of a linear system. The exact Grammians obtained in terms of reduced order Lyapunov/Sylvester equations corresponding to slow and fast subsystems are then used to construct the improved balanced realization of the SP system. A case study is provided at the end of the article to demonstrate the difference between the algorithm present in current literature and the method we develop.

Original languageEnglish (US)
DOIs
StatePublished - 2014
Event2014 48th Annual Conference on Information Sciences and Systems, CISS 2014 - Princeton, NJ, United States
Duration: Mar 19 2014Mar 21 2014

Other

Other2014 48th Annual Conference on Information Sciences and Systems, CISS 2014
Country/TerritoryUnited States
CityPrinceton, NJ
Period3/19/143/21/14

All Science Journal Classification (ASJC) codes

  • Information Systems

Keywords

  • Singular perturbation
  • order reduction
  • slow and fast time scales
  • system balancing

Fingerprint

Dive into the research topics of 'Controllability and observability grammians for balancing linear singularly perturbed systems'. Together they form a unique fingerprint.

Cite this