Title :
On parametric H∞ optimization
Author :
Kabamba, Pierre T. ; Boyd, Stephen P.
Author_Institution :
Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA
Abstract :
The problem of optimizing the H∞ norm of a rational transfer matrix with respect to a finite number of design parameters is considered. The H∞ norm is characterized as a value of a parameter for which a certain Hamiltonian matrix has multiple eigenvalues. A coprimeness test for polynomials is used to characterize the H∞ norm algebraically as an implicit function of the design parameters. In the case of a single design parameter, necessary conditions for optimality are obtained in the form of a system of two algebraic equations with two unknowns
Keywords :
eigenvalues and eigenfunctions; matrix algebra; optimisation; polynomials; transfer functions; Hamiltonian matrix; algebraic equations; coprimeness test; eigenvalues; parametric H∞ optimization; polynomials; rational transfer matrix; transfer functions; Aerospace engineering; Eigenvalues and eigenfunctions; H infinity control; Matrices; Polynomials; Reduced order systems; Testing; Transfer functions;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194544
