Transformation of optimal control problems of descriptor systems into problems with state-space systems

Title:

Transformation of optimal control problems of descriptor systems into problems with state-space systems

Creator:

Stefanovski, Jovan D.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:cfbfd8db-72ac-47d9-8a69-e6603f572b67
uuid:cfbfd8db-72ac-47d9-8a69-e6603f572b67

Subject:

parametrization of stabilizing controllers, inner matrices, and H∞ and H2 control

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We show how we can transform the H∞ and H2 control problems of descriptor systems with invariant zeros on the extended imaginary into problems with state-space systems without such zeros. Then we present necessary and sufficient conditions for existence of solutions of the original problems. Numerical algorithm for H∞ control is given, based on the Nevanlinna-Pick theorem. Also, we present an explicit formula for the optimal H2 controller.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[1156]-1179

Source:

Kybernetika | 2012 Volume:48 | Number:6

Harvested from:

CDK

Metadata only:

false