Predefined-Time Command Filtering Control for High-Order Strict Feedback System

This article investigates the predefined-time tracking problem for high-order strict feedback system. Modified command filter can not only avoid the “computational complexity explosion” phenomenon in traditional backstepping methods, but also alleviate the chattering problem caused by signum in conventional filters. A novel predefined-time compensation system is proposed to compensate for the decrease in control accuracy caused by filtering errors. Predefined-time command filtering controller is proposed by combining the backstepping mechanism and predefined-time theory, ensuring that the controlled system converges within a user-defined time. Finally, mathematical simulation demonstrates the rationality and effectiveness of the proposed control scheme.