Advertisement

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  5 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.  4. To handle output-feedback case, we first extend the results of Chap.  4 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.

References

  1. 1.
    de Oliveira MC, Geromel JC, Bernussou J (2002) Extended \(H_2\) and \(H_\infty \) norm characterizations and controller parametrizations for discrete-time systems. Int J Control 75:666–679CrossRefMATHGoogle Scholar
  2. 2.
    Ebihara Y (2002) LMI-based Multiobjective Controller Design with Non-Common Lyapunov Variables. PHD Dissertation, Kyoto UniversityGoogle Scholar
  3. 3.
    Ebihara Y, Hagiwara T (2004) New dilated LMI characterizations for continuous-time multiobjective controller synthesis. Automatica 40(11):2003–2009MathSciNetCrossRefMATHGoogle Scholar
  4. 4.
    Scherer CW, Gahinet P, Chilali M (1997) Multiobjective output-feedback control via LMI optimization. IEEE Trans Autom Control 42(7):896–911MathSciNetCrossRefMATHGoogle Scholar
  5. 5.
    Masubuchi I, Ohara A, Suda N (1998) LMI-based controller synthesis: a unified formulation and solution. Int J Robust Nonlinear Control 8(8):669–686MathSciNetCrossRefMATHGoogle Scholar
  6. 6.
    Shimomura T, Fujii T (2005) Multiobjective control via successive over-bounding of quadratic terms. Int J Robust Nonlinear Control 15(6):363–381MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag London 2015

Authors and Affiliations

  • Yoshio Ebihara
    • 1
  • 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

Personalised recommendations