Name
Abstract | ||
|---|---|---|
This paper considers a method of designing fractional-order observers for continuous-time linear fractional-order systems with unknown inputs. Conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability of fractional-order observer errors with the fractional order a satisfying 0 < alpha < 2 are derived in terms of linear matrix inequalities. Two numerical examples are given to demonstrate the applicability of the proposed approach, where the fractional order a belongs to 1 <= alpha < 2 and 0 < alpha <= 1, respectively. A stability analysis of the fractional-order error system is made and it is shown that the fractional-order observers are as stable as their integer order counterpart and guarantee better convergence of the estimation error. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.2478/amcs-2013-0037 | INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE |
Keywords | Field | DocType |
fractional calculus, fractional-order systems, fractional-order observers, existence condition, linear matrix inequality, unknown input, stability | Integer,Convergence (routing),Mathematical optimization,Control theory,Matrix (mathematics),Fractional calculus,Observer (quantum physics),Mathematics,Linear matrix inequality | Journal |
Volume | Issue | ISSN |
23 | 3 | 1641-876X |
Citations | PageRank | References |
12 | 0.76 | 10 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ibrahima N'Doye | 1 | 41 | 6.68 |
| Mohamed Darouach | 2 | 261 | 42.82 |
| Holger Voos | 3 | 118 | 34.98 |
| Michel Zasadzinski | 4 | 82 | 14.78 |