LMI based minimax control under component-wise constraints on the inputs with application to an electric power steering system

Author

Gusev, Sergei V. ; Zaremba, Alexander T.

Author_Institution

Ford Motor Co., Dearborn, MI, USA

Volume

3

fYear

1999

fDate

1999

Firstpage

2353

Abstract

The minimax control problem is considered for the linear MIMO system acted on by a stochastic input. The input can include disturbances, sensor noise and reference signals. The performance index is the maximum of the system output variance over the class of inputs, which is specified by the component-wise integral restrictions on the input spectral measure. The problem is to minimize the performance index over the class of stabilizing controllers. It is shown that the problem can be reduced to the minimization of the linear functional over the solutions set of the system of linear matrix inequalities (LMIs). The system of inequalities has the structure reminiscent of the LMI that are used in H^∞ optimization. The result obtained is applied to the controller synthesis for an electric power assist steering system

Keywords

H^∞ optimisation; MIMO systems; automobiles; linear systems; matrix algebra; minimax techniques; optimal control; performance index; robust control; stochastic systems; H^∞ optimization; MIMO systems; automobiles; electric power steering; linear matrix inequality; linear systems; minimax technique; optimal control; performance index; robust control; stochastic systems; Constraint optimization; Control systems; Design optimization; Filters; Linear matrix inequalities; Minimax techniques; Optimal control; Performance analysis; Steering systems; Stochastic systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.831275

Filename

831275