期刊
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
卷 32, 期 10, 页码 4703-4712出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNNLS.2020.3027339
关键词
Switches; Adaptive systems; Stability analysis; Nonlinear systems; Control design; Lyapunov methods; Adaptive control; dynamic surface control (DSC); fractional-order filter; fractional-order systems; switched systems; nonstrict feedback; unknown dead zone
类别
资金
- National Key Research and Development Program of China [2019YFB1703600]
- National Natural Science Foundation of China [61603167, 61751202, 61773188, 61751205, U1813203, U1801262]
- Macao Science and Technology Development Fund [079/2017/A2, 024/2015/AMJ, 019/2015/A1]
- Multiyear Research Grants of the University of Macau
This article introduces a novel adaptive switching dynamic surface control strategy for fractional-order nonlinear systems, utilizing fractional-order Lyapunov stability criterion for designing control laws and adaptive laws. By combining universal approximation of neural networks and compensation technique of unknown dead-zones, an adaptive switching DSC controller is developed to ensure stability of switched fractional-order systems in the presence of unknown dead-zones and arbitrary switchings.
Due to the particularity of the fractional-order derivative definition, the fractional-order control design is more complicated and difficult than the integer-order control design, and it has more practical significance. Therefore, in this article, a novel adaptive switching dynamic surface control (DSC) strategy is first presented for fractional-order nonlinear systems in the nonstrict feedback form with unknown dead zones and arbitrary switchings. In order to avoid the problem of computational complexity and to continuously obtain fractional derivatives for virtual control, the fractional-order DSC technique is applied. The virtual control law, dead-zone input, and the fractional-order adaptive laws are designed based on the fractional-order Lyapunov stability criterion. By combining the universal approximation of neural networks (NNs) and the compensation technique of unknown dead-zones, and stability theory of common Lyapunov function, an adaptive switching DSC controller is developed to ensure the stability of switched fractional-order systems in the presence of unknown dead-zone and arbitrary switchings. Finally, the validity and superiority of the proposed control method are tested by applying chaos suppression of fractional power systems and a numerical example.
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