Abstract
A multiobjective synthesis problem involving H2, Hoo and impulse-to-peak performances is investigated. In general, multiobjective 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 Hoo 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 multiobjective H2/H∞/impulse-to-peak synthesis problem is solved to tackle specific specifications.
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