Title
Observer design for a class of nonlinear fractional-order systems with unknown input
Document Type
Article
Publication Date
9-1-2017
Publication Title
Journal of the Franklin Institute
Volume
354
Issue
13
First Page
5503
Last Page
5518
Abstract
A full order fractional-order observer is designed for a class of Lipschitz continuous-time nonlinear fractional-order systems with unknown input. Sufficient conditions of existence for the designed observer and stability of state estimation error system are developed by reconstructing state and using general quadratic Lyapunov function. By applying fractional-order extension of Lyapunov direct method, the stability of the fractional-order state estimation error system is analyzed. Due to the conditions involving a nonlinear matrix inequality, a new sufficient condition with linear matrix inequality (LMI) is reformulated, which makes the full order fractional-order observer implemented easily by using Matlab LMI toolbox. Examples are taken to show the effectiveness of the proposed approach by numerical simulations.
DOI
10.1016/j.jfranklin.2017.06.011
ISSN
00160032
Recommended Citation
Kong, Shulan; Saif, Mehrdad; and Liu, Bing. (2017). Observer design for a class of nonlinear fractional-order systems with unknown input. Journal of the Franklin Institute, 354 (13), 5503-5518.
https://scholar.uwindsor.ca/electricalengpub/281