A Synthesis Method of LTI MIMO Robust Controllers for Uncertain LPV Plants

Author

Rosa, P. ; Balas, Gary J. ; Silvestre, Carlos ; Athans, Michael

Author_Institution

Deimos Eng., Lisbon, Portugal

Volume

59

Issue

8

fYear

2014

fDate

Aug. 2014

Firstpage

2234

Lastpage

2240

Abstract

This technical note presents a complete methodology to design LTI dynamic controllers for Linear Parameter-Varying (LPV) plants, with time-varying (real-valued) parametric and complex-valued uncertainties, using Bilinear Matrix Inequalities (BMIs). These LPV/BMI controllers are able to provide stability- and performance-robustness guarantees against complex- and real-valued uncertainties on the model of the plant, and against time-variations of unmeasured parameters. A comparison between mixed-μ and LPV/BMI controllers is presented and the performance of this new approach is demonstrated in simulation.

Keywords

MIMO systems; control system analysis; control system synthesis; linear systems; matrix algebra; robust control; time-varying systems; uncertain systems; LPV-BMI controllers; LTI MIMO robust controller synthesis method; LTI dynamic controllers; bilinear matrix inequalities; complex-valued uncertainties; linear parameter-varying plants; linear time-invariant controller; mixed-μ controllers; performance-robustness guarantees; real-valued uncertainties; stability-guarantees; time-varying parametric uncertainties; uncertain LPV plants; Algorithm design and analysis; Heuristic algorithms; Linear matrix inequalities; Optimization; Robustness; Uncertainty; Vectors; Robust control; time-varying systems; uncertain systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2014.2301572

Filename

6716988