(J,J 0 )-dissipative matrices and singular H ∞ control
L. Baramov · 1999
This paper deals with solving a class of H∞ control problems where the transfer matrix from the external input to the measured output is invertible at infinity while there is no assumption about the infinite and/or imaginary-axis zeros of the transfer matrix from the control input to the penalized output. Our approach is based on the chain-scattering representation and a newly proposed (J,J0)-dissipative factorization extending thus the well-known approach of H.~Kimura, while preserving its simplicity. We provide also a characterization of the set of controllers solving the given problem.