Multi-objective H2/H∞/Impulse-to-Peak Control of a Space Launch Vehicle

Denis Arzelier, Benoît Clément, Dimitri Peaucelle

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


A multi-objective synthesis problem involving H2, H∞ and impulse-to-peak performances is investigated. In general, multi-objective control problems are hard problems to solve and do not have exact solutions. Here, an LMI formulation is proposed for the mixed H2/impulse-to-peak optimization under an H∞ constraint for LTI discrete-time systems. This framework is then used to control the attitude of a space launcher. A particular control structure is defined and a multi objective H2=H∞/impulse-to-peak synthesis problem is solved to tackle specific specifications. A systematic synthesis procedure including the tuning of design parameters is defined and results from simulations are presented.

Original languageEnglish
Pages (from-to)57-70
Number of pages14
JournalEuropean Journal of Control
Issue number1
Publication statusPublished - 2006
Externally publishedYes


  • Attitude control
  • Launch vehicles
  • LMI optimization
  • Multi-objective control
  • Robust synthesis


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