Predefined-time stability is the of dynamical systems whose solutions approach equilibrium point within a pre-decided time duration. In this technical note, we develop general results predefined-time nonlinear using vector Lyapunov functions. A comparison system, which predefined convergent, constructed, and after that original system proved differential inequalities principles. Moreover, desig...

This paper proposes a robust finite-time controller (FTC) for permanent magnet synchronous generator (PMSG)-based wind turbine (WTG). An adaptive observer is used the rotor angle, speed, and torque estimations of PMSG, thus eliminating use anemometers. The robustness proposed FTC regarding parameter uncertainty external weak power grid analyzed. impacts short-circuit ratio (SCR) at point common...

Control Lyapunov functions (CLFs), CLF based controller designs and disturbance attenuation have attracted much attention in nonlinear control theory. However, little research exists that considers both the input constraint and the disturbance attenuation problems. For input constrained systems, we cannot stabilize under unbounded disturbances in general. Therefore, we propose an input-to-state...

It has been veri"ed that a controllable series capacitor with a suitable control scheme can improve transient stability and help to damp electromechanical oscillations. A question of great importance is the selection of the input signals and a control strategy for this device in order to damp power oscillations in an e!ective and robust manner. Based on Lyapunov theory a control strategy for da...