Control of linear switched systems with receding horizon modal information

Ray Essick, Ji Woong Lee, Geir E. Dullerud

Research output: Contribution to journalArticlepeer-review


We provide an exact solution to two performance problems-one of disturbance attenuation and one of windowed variance minimization-subject to exponential stability. Considered are switched systems, whose parameters come from a finite set and switch according to a language such as that specified by an automaton. The controllers are path-dependent, having finite memory of past plant parameters and finite foreknowledge of future parameters. Exact, convex synthesis conditions for each performance problem are expressed in terms of nested linear matrix inequalities. The resulting semidefinite programming problem may be solved offline to arrive at a suitable controller. A notion of path-by-path performance is introduced for each performance problem, leading to improved system performance. Non-regular switching languages are considered and the results are extended to these languages. Two simple, physically motivated examples are given to demonstrate the application of these results.

Original languageEnglish (US)
Article number6808501
Pages (from-to)2340-2352
Number of pages13
JournalIEEE Transactions on Automatic Control
Issue number9
StatePublished - Sep 2014


  • H infinity control
  • H2 control
  • hybrid systems
  • linear matrix inequalities
  • switched systems
  • uniform exponential stability.

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


Dive into the research topics of 'Control of linear switched systems with receding horizon modal information'. Together they form a unique fingerprint.

Cite this