A comparative view to H_infinity-norm of transfer functions of linear DAEs

Abstract

In this paper, bisection and extended-balanced singular perturbation methods are used to calculate the H_infinity-norm of the transfer function of a linear DAEs system for the particular case D=0. In the beginning, the approaches' algorithms and error analysis are provided separately. Next, the methods are employed to calculate the H_infinity-norms of a numerical example pertaining to an automotive gas turbine model, and the error limits are used to check the norms in the suitable range, respectively. Ultimately, every solution is compared individually with the problem's H_infinity-norm values, which are retrieved from MATLAB.

Keywords

• DAEs systems
• H_∞-norm
• Bisection method
• Extended balanced singular perturbation method