Using Inverse Nonlinearities in Robust Output Feedback Guaranteed Cost Control of Nonlinear Systems

Author

Rehman, Obaid Ur ; Petersen, Ian R.

Author_Institution

Sch. of Eng. & Inf. Technol., Univ. of New South Wales at ADFA, Canberra, ACT, Australia

Volume

60

Issue

4

fYear

2015

fDate

Apr-15

Firstpage

1139

Lastpage

1144

Abstract

This paper extends the result of an earlier paper on constructive robust nonlinear output feedback controller design, which is based on the use of IQCs and minimax LQG control. In this paper, in addition to copies of the nonlinearities, we include copies of the inverses of the nonlinearities in the controller. Consequently more IQCs are exploited in the design procedure, which gives a smaller bound on the closed-loop cost function than the earlier result.

Keywords

closed loop systems; control nonlinearities; control system synthesis; feedback; linear quadratic Gaussian control; minimax techniques; nonlinear control systems; robust control; IQC; closed-loop cost function; constructive robust nonlinear output feedback controller design; design procedure; inverse nonlinearities; minimax LQG control; nonlinear systems; robust output feedback guaranteed cost control; Eigenvalues and eigenfunctions; Nonlinear systems; Output feedback; Symmetric matrices; Uncertain systems; Uncertainty; Nonlinear control system; repeated nonlinearity; robust nonlinear system; uncertain nonlinear system;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2014.2352712

Filename

6887300