# Multiobjective Controller Synthesis for LTI Systems

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

## Abstract

Chapter focuses on multiobjective control design problems for discrete-time LTI systems. The goal here is to design a controller that satisfy multiple (and typically conflicting) design specifications. In the state-feedback case, the advantage of the SV-LMIs readily follows from the synthesis results in Chap. . To handle output-feedback case, we first extend the results of Chap. and provide SV-LMI-based formulas for dynamic output-feedback controller synthesis. Then, the effectiveness of the SV-LMIs in conservatism reduction can be shown almost the same way as in the state-feedback case.

## Keywords

Controller Synthesis Recovery Property Controller Synthesis Problem Multiobjective Control Problem Arbitrary Nonsingular Matrix
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