LMI Tools for Eventually Periodic Systems

From HotDec

Farhood, M. Dullerud, G. E.

Systems and Control Letters, Volume 47, Issue 5, 16 December 2002, Pages 417-432 DOWNLOAD (full text)

Abstract

This paper is focused on the concept of an eventually periodic linear discrete-time system. We derive a necessary and sufficient analysis condition for checking open-loop stability and performance of such systems, and use this to derive exact controller synthesis conditions given eventually periodic plants. All the conditions derived are provided in terms of semi-definite programming problems. The motivation for this work is controlling nonlinear systems along prespecified trajectories, notably those which eventually settle down into periodic orbits and those with uncertain initial states.

Author Keywords: Time-varying systems; Orbits; LMIs