"Mixed H2/Hinfinity Fixed-Structure Control via Semi-Infinite optimization"

C. Guarino Lo Bianco, and A. Piazzi

7th IFAC Symposium on Computer Aided Control Systems Design, April 1997, Gent, Belgium, pp.329-334.

In the context of finite-dimensional linear time-invariant systems, the mixed H2/Hinfinity control has been the subject of numerous investigations mainly focused on Riccati equation or convex optimization approaches. This paper proposes a mixed H2/Hinfinity fixed-structure control design based on a global optimization approach applied to a semi/infinite minimization problem which is exactly equivalent to the original H2/Hinfinity problem. This method, that generalizes the mixed H2/Hinfinity control of Chen et al., is presented, with reference to the basic unity-feedback system, to design a fixed-structure controller by means of a recently devised genetic/interval algorithm [1]. Computational results for an example, with comparisons, are also included.