Case study of the TP-model transformation in the control of a complex dynamic model with structural nonlinearity

Author

Baranyi, Péter ; Yam, Yeung

Author_Institution

Comput. & Autom. Res. Inst. of the Hungarian Acad. of Sci., Budapest, Hungary

Volume

53

Issue

3

fYear

2006

fDate

6/1/2006 12:00:00 AM

Firstpage

895

Lastpage

904

Abstract

The main objective of this paper is to study and validate the effectiveness of the tensor-product (TP)-model transformation in a state-dependent nonlinear controller design for a prototypical aeroelastic system that exhibits a variety of control phenomena such as limit cycle oscillation, flutter, and even chaotic vibrations. In this paper, the TP-model transformation is applied to transform the identified analytic model of the prototypical aeroelastic system to TP-model form whereupon linear matrix inequality-based controller-design theorems, within the parallel-distributed-compensation (PDC) frameworks, can be immediately executed. Numerical simulations are used to provide empirical validation of the control results. The effectiveness of the controller design is compared to the former approaches.

Keywords

aerospace control; compensation; control nonlinearities; control system synthesis; nonlinear control systems; numerical analysis; numerical control; aeroelastic system; complex dynamic model control; controller design; linear matrix inequality; multiple model; numerical simulations; parallel-distributed-compensation; state-dependent nonlinear controller; tensor-product-model transformation; Aerodynamics; Chaos; Control systems; Limit-cycles; Linear matrix inequalities; Nonlinear control systems; Nonlinear dynamical systems; Numerical simulation; Prototypes; Vibration control; Linear matrix inequality (LMI); multiple model; parallel distributed compensation (PDC); tensor-product (TP) model transformation;

fLanguage

English

Journal_Title

Industrial Electronics, IEEE Transactions on

Publisher

ieee

ISSN

0278-0046

Type

jour

DOI

10.1109/TIE.2006.874265

Filename

1637831