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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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 75:666–679
Ebihara Y (2002) LMI-based Multiobjective Controller Design with Non-Common Lyapunov Variables. PHD Dissertation, Kyoto University
Ebihara Y, Hagiwara T (2004) New dilated LMI characterizations for continuous-time multiobjective controller synthesis. Automatica 40(11):2003–2009
Scherer CW, Gahinet P, Chilali M (1997) Multiobjective output-feedback control via LMI optimization. IEEE Trans Autom Control 42(7):896–911
Masubuchi I, Ohara A, Suda N (1998) LMI-based controller synthesis: a unified formulation and solution. Int J Robust Nonlinear Control 8(8):669–686
Shimomura T, Fujii T (2005) Multiobjective control via successive over-bounding of quadratic terms. Int J Robust Nonlinear Control 15(6):363–381
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2015 Springer-Verlag London
About this chapter
Cite this chapter
Ebihara, Y., Peaucelle, D., Arzelier, D. (2015). Multiobjective Controller Synthesis for LTI Systems. In: S-Variable Approach to LMI-Based Robust Control. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-6606-1_5
Download citation
DOI: https://doi.org/10.1007/978-1-4471-6606-1_5
Published:
Publisher Name: Springer, London
Print ISBN: 978-1-4471-6605-4
Online ISBN: 978-1-4471-6606-1
eBook Packages: EngineeringEngineering (R0)