This paper is devoted to studying how to more effectively suppress chaos for a class of fractional-order nonlinear systems. By means of adaptive control theory for integer-order nonlinear system, we propose two simple and novel adaptive feedback methods to control chaos. Rigorous theoretical proof is provided based on some essential properties of fractional calculus and Barbalat's Lyapunov-like stability theorem. It is discovered that both fractional-order feedback controller and integer-order one can guide chaotic trajectories to the unstable equilibrium point. To display the feasibility and validity of presented methods, some typical fractional-order chaotic systems have been chosen as numerical illustration. Furthermore, by comparing two different control techniques, one can find the fractional-order feedback control algorithm is more stable and more flexible. (C) 2015 Elsevier GmbH. All rights reserved.
机构:
Chongqing Univ, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400044, Peoples R China
Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R ChinaChongqing Univ, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400044, Peoples R China
Chen, Liping
Chai, Yi
论文数: 0引用数: 0
h-index: 0
机构:
Chongqing Univ, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400044, Peoples R China
Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R ChinaChongqing Univ, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400044, Peoples R China
Chai, Yi
Wu, Ranchao
论文数: 0引用数: 0
h-index: 0
机构:
Anhui Univ, Sch Math, Hefei 230039, Peoples R ChinaChongqing Univ, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400044, Peoples R China
机构:
Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R ChinaShanghai Univ, Dept Math, Shanghai 200444, Peoples R China
Deng, Weihua
Li, Changpin
论文数: 0引用数: 0
h-index: 0
机构:
Shanghai Univ, Dept Math, Shanghai 200444, Peoples R ChinaShanghai Univ, Dept Math, Shanghai 200444, Peoples R China
机构:
Chongqing Univ, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400044, Peoples R China
Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R ChinaChongqing Univ, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400044, Peoples R China
Chen, Liping
Chai, Yi
论文数: 0引用数: 0
h-index: 0
机构:
Chongqing Univ, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400044, Peoples R China
Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R ChinaChongqing Univ, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400044, Peoples R China
Chai, Yi
Wu, Ranchao
论文数: 0引用数: 0
h-index: 0
机构:
Anhui Univ, Sch Math, Hefei 230039, Peoples R ChinaChongqing Univ, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400044, Peoples R China
机构:
Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R ChinaShanghai Univ, Dept Math, Shanghai 200444, Peoples R China
Deng, Weihua
Li, Changpin
论文数: 0引用数: 0
h-index: 0
机构:
Shanghai Univ, Dept Math, Shanghai 200444, Peoples R ChinaShanghai Univ, Dept Math, Shanghai 200444, Peoples R China