Single-integration mode scheduling for linear time-varying switched systems

Anastasia Mavrommati, Todd D. Murphey

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

1 Scopus citations


This paper considers the problem of optimizing the schedule of modes in a linear time-varying switched system subject to a quadratic cost functional. The switched system optimization is formulated as an infinite-dimensional optimal control problem where a projection-based technique handles an integer constraint. In the proposed implementation, only a single set of differential equations needs to be solved off-line, with no additional simulation required during the optimization. Robustness to numerical errors is enhanced as these differential equations are as smooth as the system's vector fields, despite the optimization itself being non-smooth. An example demonstrates the optimization algorithm steps and verifies feasibility and convergence.

Original languageEnglish (US)
Title of host publication2014 American Control Conference, ACC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Print)9781479932726
StatePublished - Jan 1 2014
Event2014 American Control Conference, ACC 2014 - Portland, OR, United States
Duration: Jun 4 2014Jun 6 2014

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Other2014 American Control Conference, ACC 2014
CountryUnited States
CityPortland, OR


  • Linear systems
  • Optimal control
  • Switched systems

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'Single-integration mode scheduling for linear time-varying switched systems'. Together they form a unique fingerprint.

Cite this