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A linear matrix inequality approach to the general mixed ℋ2/ℋ control problem

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2 Author(s)
Xin Chen ; Dept. of Electr. Comput. & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA ; J. T. Wen

This paper presents a solution method to the general mixed ℋ 2/ℋ, problem, minimizing the ℋ 2 norm of a closed-loop system subject to an ℋ norm constraint on another closed-loop system. It is shown that the true infimum over all internally stabilizing controllers can be approximated arbitrary closely by solving a sequence of globally convergent finite dimensional convex optimization problems over linear matrix inequalities. Numerical examples are provided to demonstrate the effectiveness of this approach

Published in:

American Control Conference, Proceedings of the 1995  (Volume:2 )

Date of Conference:

21-23 Jun 1995