Resumen de On the practical h-stabilization of nonlinear time-varying systems: application to separately excited DC motor

Hanen Damak, Mohamed Ali Hammami, Abir Kicha

• Purpose – The purpose of this paper is to report on the global practical uniform h-stabilization for certain classes of nonlinear time-varying systems and its application in a separately excited DC motor circuit.

  Design/methodology/approach – Based on Lyapunov theory, the practical h-stabilization result is derived to guarantee practical h-stability and applicated in a separately excited DC motor.

  Findings – A controller is designed and added to the nonlinear time-varying system. The practical hstability of the nonlinear control systems is guaranteed by applying the appropriate controller based on Lyapunov second method. Another effective controller is also designed for the global practical uniform hstability on the separately excited DC motor with load. Numerical simulations are demonstrated to verify the effectiveness of the proposed controller scheme.

  Originality/value – The introduced approach is interesting for practical h-stabilization of nonlinear timevarying systems and its application in a separately excited DC motor. The original results generalize wellknown fundamental result: practical exponential stabilization for nonlinear time-varying systems