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LMI tools for eventually periodic systems. (English) Zbl 1106.93327
Summary: 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.

##### MSC:
 93C55 Discrete-time control/observation systems 93B40 Computational methods in systems theory (MSC2010)
##### Keywords:
Time-varying systems; Orbits; linear matrix inequalities
##### Software:
MR and LTV Synthesis Tools
Full Text:
##### References:
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