Prescribed-Time High-Gain Nonlinear Observer Design for Triangular Systems

This paper proposes a prescribed-time varying high gain observer for a class of nonlinear systems. The fixed time convergence of the observer within a predefined time is shown through a Lyapunov differential inequality and a state transformation that involves a scaling function. The effectiveness of the proposed observer is illustrated through two numerical examples. Furthermore, a comparison with the standard high-gain observer and the tuning gain parameter of the scaling function is provided to demonstrate the superiority of the proposed prescribed-time observer of reducing the peaking phenomena and enhancing the estimation convergence error, respectively.