Journal
NONLINEAR DYNAMICS
Volume 86, Issue 2, Pages 1047-1056Publisher
SPRINGER
DOI: 10.1007/s11071-016-2945-4
Keywords
Fractional order systems; Adaptive backstepping control; Frequency distributed model; Indirect Lyapunov method; Tracking differentiator
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Funding
- Research Grants Council [CityU 11201315]
- Innovation and Technology Commission (ITC) of the Government of the Hong Kong Special Administrative Region (HKSAR), China [ITS/061/14FP]
- National Natural Science Foundation of China [61573332]
- Fundamental Research Funds for the Central Universities [WK2100100028]
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This article presents a novel fractional order adaptive backstepping output feedback control scheme for nonlinear fractional order systems. The needed feedback information is constructed via a state estimation filter. To improve the control performance, tracking differentiators, nonlinear elements and fractional order update laws were introduced and applied to the control systems. With the aids of this frequency distribute model and the indirect Lyapunov method, the stability and the tracking convergence of the resulting closed-loop system were established. A careful simulation study was provided to illustrate the effectiveness of this novel scheme.
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