LMI Based Fuzzy Control of a Wing Doubled Fractional-Order Chaos

Autor: Bin Wang, Yuzhu Wang, Hongbo Cao, Delan Zhu
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Journal of Control Science and Engineering, Vol 2015 (2015)
Druh dokumentu: article
ISSN: 1687-5249
1687-5257
DOI: 10.1155/2015/604257
Popis: This paper investigates a new wing doubled fractional-order chaos and its control. Firstly, a new fractional-order chaos is proposed, replacing linear term x in the second equation by its absolute value; a new improved system is got, which can make the wing of the original system doubled. Then, circuit diagram is presented for the proposed fractional-order chaos. Furthermore, based on fractional-order stability theory and T-S fuzzy model, a more practical stability condition for fuzzy control of the proposed fractional-order chaos is given as s set of linear matrix inequality (LMI) and the strict mathematical norms of LMI are presented. Finally, numerical simulations are given to verify the effectiveness of the proposed theoretical results.
Databáze: Directory of Open Access Journals
Externí odkaz: