# Robust Controller Synthesis of Periodic Discrete-Time Systems

• Yoshio Ebihara
• Dimitri Peaucelle
• Denis Arzelier
Chapter
Part of the Communications and Control Engineering book series (CCE)

## Abstract

Finally, Chapter 8 deals with state-feedback controller synthesis for discrete-time periodic systems. By introducing S-variables and applying change of variables that is almost identical to the LTI case, we can readily obtain SV-LMIs for periodic state-feedback controller synthesis. We illustrate by numerical examples that the SV-LMIs are indeed effective in conservatism reduction when dealing with discrete-time periodic systems affected by polytopic uncertainties.

## Keywords

Controller Synthesis Linear Periodic Systems Conservative Reduction Polytopic Uncertainties State Feedback Controller Synthesis
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Authors and Affiliations

• Yoshio Ebihara
• 1
Email author
• Dimitri Peaucelle
• 2
• Denis Arzelier
• 2
1. 1.Department of Electrical EngineeringKyoto UniversityKyotoJapan
2. 2.Laboratory for Analysis and Architecture of Systems ScienceNational Centre for Scientific ResearchToulouseFrance