Stabilization of Uncertain Multi-Order Fractional Systems Based on the Extended State Observer

• Type: Article in International Scientific Journal
• Date: 2018

Authors

Chen, LP (Author) Other; Chen, G (Author) Other; Wu, RC (Author) Other; Tenreiro Machado, JAT (Author) Other; António Mendes Lopes (Author) FEUP; Ge, SL (Author) Other

Journal

Title: Asian Journal of Control

Vol. 20

Pages: 1263-1273

ISSN: 1561-8625

Publisher: Wiley-Blackwell

Indexing

ISI Web of Knowledge - 6 Citations

Scopus - 16 Citations

Other information

Authenticus ID: P-00R-AD0

DOI: 10.1002/asjc.1618

Abstract (EN): The extended state observer (ESO) based controller has been used successfully with integer-order systems involving large uncertainties. In this paper, the robust control of uncertain multi-order fractional-order (FO) systems based on ESO is investigated. First, we transform the multi-order FO system into an equivalent system in the form of a same-order state-space equation. Then, the ESO for the new system is established for estimating both the state and the total disturbance. Sufficient conditions for bounded-input and bounded-output stability are derived, and the asymptotic stability of the closed loop system is analyzed, based on whether the states are available or not. Finally, numerical simulations are presented to demonstrate the validity and feasibility of the proposed methodology.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11