Multi-time-scale systems control via use of combined controllers

Kliti Kodra, Ningfan Zhong, Zoran Gajić

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Scopus citations


We propose a method based on the Schur decomposition that simplifies the study of multiple-time-scale singularly perturbed systems while retaining time-scale properties. The transformed system is sequentially decoupled using the Chang transformation to separate it into individual time-scales. Furthermore, control strategies have been applied to the Schur-transformed system. Initially, controller design based on the eigenvalue placement is proposed where state vectors of each time-scale are used for feedback. Then, a combined eigenvalue placement-linear quadratic controller scheme is studied. The combined design strategy offers flexibility and can be more effective for specific control problems.

Original languageEnglish (US)
Title of host publication2016 European Control Conference, ECC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781509025916
StatePublished - Jan 6 2017
Event2016 European Control Conference, ECC 2016 - Aalborg, Denmark
Duration: Jun 29 2016Jul 1 2016

Publication series

Name2016 European Control Conference, ECC 2016


Other2016 European Control Conference, ECC 2016

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Control and Optimization


  • Multi-time-scale systems
  • optimal control
  • singular perturbations


Dive into the research topics of 'Multi-time-scale systems control via use of combined controllers'. Together they form a unique fingerprint.

Cite this