Adaptive Event-Triggered Control Combined With High-Order Backstepping for Pure Feedback Nonlinear Systems

Area of Science:

• Control Theory
• Nonlinear Systems
• Adaptive Control

Background:

• Addressing control challenges in uncertain high-order pure feedback nonlinear systems (HOPFNSs).
• Limitations of traditional backstepping methods for complex systems.

Purpose of the Study:

• To develop an adaptive event-triggered control law for HOPFNSs.
• To improve control design efficiency and reduce complexity.

Main Methods:

• Proposed a new high-order backstepping method based on high-order fully actuated (HOFA) system approaches.
• Designed an adaptive event-triggered control law without transforming systems into first-order.

Main Results:

• Demonstrated a simpler control structure with greater freedom and ease of implementation.
• Proved that the controller ensures all system signals remain bounded.
• Showcased energy savings in signal transmission.

Conclusions:

• The proposed high-order backstepping method is effective for adaptive event-triggered control of HOPFNSs.
• The strategy offers significant advantages in efficiency and reduced design complexity.
• Simulation results validate the control strategy's effectiveness.