Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published June 1998 | Submitted + Published
Book Section - Chapter Open

Multiobjective H_2/H_∞-optimal control via finite dimensional Q-parametrization and linear matrix inequalities

Abstract

The problem of multiobjective H_2/H_∞ optimal controller design is reviewed. There is as yet no exact solution to this problem. We present a method based on that proposed by Scherer (1995). The problem is formulated as a convex semidefinite program (SDP) using the LMI formulation of the H_2 and H_∞ norms. Suboptimal solutions are computed using finite dimensional Q-parametrization. The objective value of the suboptimal Q's converges to the true optimum as the dimension of and is increased. State space representations are presented which are the analog of those given by Khargonekar and Rotea (1991) for the H_2 case. A simple example computed using finite impulse response Qs is presented.

Additional Information

© 1998 IEEE. This work was supported by DOE contract # DE-AC03-76SF00515 and by DARPA through the Department of Air Force under contract F49620-95-1-0525-P00001.

Attached Files

Published - 00688463.pdf

Submitted - H∞-optimal_control_via_finite_dimensional_Q-parametrization_and_linear_matrix_inequalities.pdf

Files

H∞-optimal_control_via_finite_dimensional_Q-parametrization_and_linear_matrix_inequalities.pdf
Files (846.8 kB)

Additional details

Created:
August 19, 2023
Modified:
March 5, 2024