Preassigned Time Prescribed Performance Tracking Control for High-Order Nonlinear Systems with Time-Varying Powers

This paper studies prescribed performance control of high-order nonlinear systems with unknown time-varying pow-ers. A state feedback control is designed to guarantee the prescribed tracking performance as the power of the systems are unknown time-varying functions and the nonlinearities are unknown. The tracking error between output and reference signal can converge to a predefined region in settling time. The effectiveness of the proposed scheme is verified by an example.