On finite time stability with guaranteed cost control of uncertain linear systems

Title:

On finite time stability with guaranteed cost control of uncertain linear systems

Creator:

Qayyum, Atif and Pironti, Alfredo

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:6457e22f-ee02-4ca4-bc87-5a3ee925ecc1
uuid:6457e22f-ee02-4ca4-bc87-5a3ee925ecc1
doi:10.14736/kyb-2018-5-1071

Subject:

differential LMIs, finite time stability, guaranteed cost control, robust control, and state feedback control

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

This paper deals with the design of a robust state feedback control law for a class of uncertain linear time varying systems. Uncertainties are assumed to be time varying, in one-block norm bounded form. The proposed state feedback control law guarantees finite time stability and satisfies a given bound for an integral quadratic cost function. The contribution of this paper is to provide a sufficient condition in terms of differential linear matrix inequalities for the existence and the construction of the proposed robust control law. In particular, the construction of the feedback control law is brought back to a feasibility problem which can be solved inside the convex optimization framework. The effectiveness of the proposed approach is shown by means of the results obtained on a numerical and a physical example.

Language:

English

Rights:

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

Source:

Kybernetika | 2018 Volume:54 | Number:5

Harvested from:

CDK

Metadata only:

false