Da Wei Gu, Petko Petkov and Mihail Konstantinov

SLICOT Working Note 2000-6: December 2000.

This report briefly introduces the H_inf loop shaping design procedure (LSDP) in the discrete-time case as well as its implementation in the software package SLICOT. Solution formulae are presented with the exposure of a relationship between the solutions to the three discrete-time, algebraic Riccati equations (DARE) required in the construction of an LSDP controller. These SLICOT routines also produce estimates of the condition numbers of the DARE solutions, which reveals the accuracy and reliability of the computational results. The developed routines are tested in a design example, and are included as appendices.