International Journal of Control, Vol.91, No.10, 2159-2169, 2018
Adaptive finite-time stabilisation of high-order uncertain nonlinear systems
This paper studies the problem of finite-time stabilisation of more general high-order nonlinear systems with dynamic and parametric uncertainties. By characterising the unmeasured dynamic uncertainty with finite-time input-to-state stability (FTISS), skillfully combining Lyapunov function, sign function, backstepping, adaptive control and FTISS approaches, and using finite-time stability theory, an adaptive state feedback controller is designed to guarantee high-order uncertain nonlinear systems globally finite-time stable.
Keywords:High-order nonlinear systems;dynamic and parametric uncertainties;finite-time input-to-state stability (FTISS);state feedback;adaptive finite-time stabilisation