Dual Problem in Multi-Objective Hp Control

Research output: Contribution to conferencePaper, not in proceeding


In this paper, we approach a multi­objective Hp prob­
lem with several Hp constraints from the Banach
duality point of view. The problem is reduced to an
abstract norm minimization problem, and the dual
problem is derived using the classical Banach re­
sult. It completes the primal­dual pair which can
be used to solve the problem numerically by nite­
dimensional approximations. While the approxima­
tion of the primal problem gives an upper bound
of the optimal value, the approximation of the dual
problem provides a lower bound, and the gap be­
tween them can be done arbitrary small. In view of
growing computational power of modern computers,
it gives a good alternative to the standard mixed­
objective approach.


Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Control Engineering


  • multiple objectives, convex duality, linear system
Original languageEnglish
Publication statusPublished - 2001
Publication categoryResearch

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