Global prescribed-time output feedback control of a class of uncertain nonlinear systems by linear time-varying feedback

In this paper, the prescribed-time control problem for a class of uncertain nonlinear systems is investigated. By fully exploiting key properties of a class of parametric Lyapunov equations and constructing a time-varying Lyapunov-like function, a neat linear time-varying high gain observer-based output feedback controller is designed. The uncertain parameters of the systems are reflected in the selection of the initial gain of the time-varying high gain function in the controller. It is proved that the proposed controller can drive the state to zero at the prescribed time and the control is bounded. Numerical examples verify the effectiveness of the proposed method.