Robust decentralized H2 control of multi-channel descriptor systems with norm-bounded parametric uncertainties

Title:

Robust decentralized H2 control of multi-channel descriptor systems with norm-bounded parametric uncertainties

Creator:

Gui, Weihiua, Chen, Ning, and Guisheng

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ed332000-7ff1-4007-a484-b82145a547f2
uuid:ed332000-7ff1-4007-a484-b82145a547f2

Subject:

decentralized control, descriptor systems, parametric uncertainty, homotopy method, and nonlinear matrix inequality

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

This paper considers a robust decentralized H2 control problem for multi-channel descriptor systems. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in both the system and control input matrices. Our interest is focused on dynamic output feedback. A necessary and sufficient condition for an uncertain multi-channel descriptor system to be robustly stabilizable with a specified H2 norm is derived in terms of a strict nonlinear matrix inequality (NMI), that is, an NMI with no equality constraint. A two-stage homotopy method is proposed to solve the NMI iteratively. First, a decentralized controller for the nominal descriptor system is computed by imposing block-diagonal constraints on the coefficient matrices of the controller gradually. Then, the decentralized controller is modified, again gradually, to cope with the uncertainties. On each stage, groups of variables are fixed alternately at the iterations to reduce the NMI to linear matrix inequalities (LMIs). An example is given to show the efficiency of this method.

Language:

English

Rights:

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

Coverage:

[49]-62

Source:

Kybernetika | 2009 Volume:45 | Number:1

Harvested from:

CDK

Metadata only:

false