Adaptive stabilization for a class of uncertain -normal nonlinear systems via a generalized homogeneous domination technique

作者：Xu, Xingchen; Zhang, Chuanlin; Liu, Qingshan^*; Cao, Jinde; Alsaedi, Ahmed

来源：Nonlinear Dynamics, 2018, 93(2): 847-862.

DOI：10.1007/s11071-018-4231-0

• Adaptive stabilization
• Homogenous system theory
• p-normal nonlinear system
• Recursive design

This paper investigates a generalized homogeneous adaptive stabilization method for a class of high-order nonlinear systems without controllable/observable linearizations. Based on a general approximated homogeneous function restraining hypothesis, a series of quasi-homogeneous adaptive virtual controllers are built. By modifying the homogenous domination approach, an inductive stability analysis as well as the guideline of update laws is carried out in an explicit way. Furthermore, based on the proposed design framework, the asymptotical and finite-time stabilization with the flexibility of tuning homogeneous degree are investigated. Numerical simulations and a real example are presented to demonstrate the effectiveness of the proposed method.

• 出版日期2018-7
• 单位华中科技大学; 南通大学; 上海电力大学; 山东师范大学; 东南大学