Adaptive finite-time control of uncertain nonlinear systems with the powers of odd rational numbers

作者：Jiang, Meng-Meng; Zhang, Kemei; Xie, Xue-Jun^*

来源：International Journal of Systems Science, 2018, 49(14): 2912-2922.

DOI：10.1080/00207721.2018.1528405

• Nonlinear systems
• powers of odd rational numbers
• dynamic and parametric uncertainties
• adaptive finite-time control

This paper studies adaptive finite-time control problem of a class of nonlinear systems with dynamic and parametric uncertainties. The power of systems in this paper is any positive odd rational number but not necessary equal to or greater than one. To solve this problem, finite-time input-to-state stability (FTISS) is used to characterise the unmeasured dynamic uncertainty. By skillfully combining Lyapunov function, sign function, adding a power integrator, adaptive control and FTISS methods, an adaptive state feedback controller is designed to drive the states to the origin in finite time while maintaining all the closed-loop signals bounded.

• 出版日期2018-10-26
• 单位曲阜师范大学