ℋ− adaptive observer design and parameter identification for a class of nonlinear fractional-order systems

Author

N´Doye, Ibrahima ; Voos, Holger ; Laleg-Kirati, Taous-Meriem ; Darouach, Mohamed

Author_Institution

Electr. & Math. Sci. & Eng. Div. (CEMSE), King Abdullah Univ. of Sci. & Technol.(KAUST), Thuwal, Saudi Arabia

fYear

2014

fDate

15-17 Dec. 2014

Firstpage

6927

Lastpage

6932

Abstract

In this paper, an adaptive observer design with parameter identification for a nonlinear system with external perturbations and unknown parameters is proposed. The states of the nonlinear system are estimated by a nonlinear observer and the unknown parameters are also adapted to their values. Sufficient conditions for the stability of the adaptive observer error dynamics are derived in terms of linear matrix inequalities. Simulation results for chaotic Lorenz systems with unknown parameters in the presence of external perturbations are given to illustrate the effectiveness of our proposed approach.

Keywords

H^∞ control; adaptive control; control system synthesis; linear matrix inequalities; nonlinear control systems; observers; parameter estimation; H_∞ adaptive observer design; adaptive observer error dynamics; chaotic Lorenz systems; external perturbation; linear matrix inequalities; nonlinear fractional-order systems; nonlinear observer; parameter identification; state estimation; sufficient conditions; Adaptive systems; Chaos; Equations; Linear matrix inequalities; Observers; Vectors; ℋ− design; Adaptive observer; chaotic Lorenz system; fractional-order nonlinear system indirect Lyapunov approach; linear matrix inequality (LMI);

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on

Conference_Location

Los Angeles, CA

Print_ISBN

978-1-4799-7746-8

Type

conf

DOI

10.1109/CDC.2014.7040477

Filename

7040477