期刊
ADVANCES IN DIFFERENCE EQUATIONS
卷 -, 期 -, 页码 -出版社
SPRINGER
DOI: 10.1186/s13662-018-1863-9
关键词
Robust control; Fractional-order chaotic system; Fractional-order adaptation law
资金
- National Natural Science Foundation of China [11771263]
- Fundamental Research Funds for the Central Universities
- Natural Science Foundation of Anhui Province of China [1808085MF181]
This paper studies the robust adaptive control of fractional-order chaotic systems with system uncertainties and bounded external disturbances. Based on a proposed lemma, quadratic Lyapunov functions are used in the stability analysis and fractional-order adaptation laws are designed to update the controller parameters. By employing the fractional-order expansion of classical Lyapunov stability method, a robust controller is designed for fractional-order chaotic systems. The system states asymptotically converge to the origin and all signals in the closed-loop system remain bounded. A counterexample is constructed to show that the fractional-order derivative of a function is less than zero does not mean that the function monotonically decreases (this property appears in many references). Finally, simulation results are presented to confirm our theoretical results.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据