Control of nonstationary LPV systems

Mazen Farhood, Geir E Dullerud

Research output: Contribution to journalConference articlepeer-review


This paper considers control of nonstationary linear parameter-varying systems, and is motivated by interest in the control of nonlinear systems along prespecified trajectories. In the paper, synthesis conditions are derived for such systems using an operator theoretic framework with the l2 induced norm as the performance measure. These conditions are given in terms of structured operator inequalities. In general, evaluating the validity of these conditions is an infinite dimensional convex optimization problem; however, if the initial system is eventually periodic, they reduce to a finite dimensional semi-definite programming problem, and are thus readily verified.

Original languageEnglish (US)
Pages (from-to)2380-2385
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 2001
Event40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States
Duration: Dec 4 2001Dec 7 2001

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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