Event-triggered adaptive finite-time tracking control for full state constraints nonlinear systems with parameter...

Area of Science:

• Control Engineering
• Nonlinear Systems Theory
• Adaptive Control

Background:

• Nonlinear systems with full state constraints present significant control challenges.
• Existing control methods may not efficiently manage communication resources or guarantee finite-time performance.
• Uncertain parameters in these systems further complicate control design.

Purpose of the Study:

• To develop an event-triggered finite-time tracking control strategy for nonlinear systems with full state constraints and uncertain parameters.
• To ensure that all state constraints are strictly satisfied throughout the control process.
• To minimize communication load through an adaptive, event-triggered mechanism.

Main Methods:

• Construction of a novel finite-time barrier Lyapunov function (FTBLF) to enforce state constraints.
• Development of a time-varying threshold event-triggered mechanism to reduce communication burden.
• Integration of prescribed exponential functions into the FTBLF for enhanced transient performance.
• Application of backstepping design for creating an adaptive finite-time tracking controller.

Main Results:

• The proposed control method guarantees that the tracking error converges to a small, adjustable set in finite time.
• System states remain within their specified bounds, ensuring full state constraints are never violated.
• The event-triggered mechanism effectively reduces communication frequency without compromising control performance.
• Transient performance is improved and decoupled from the event-triggered control input.

Conclusions:

• The developed event-triggered adaptive finite-time tracking control method is effective for nonlinear systems with full state constraints and uncertainties.
• The approach successfully balances control accuracy, constraint satisfaction, and communication efficiency.
• The proposed FTBLF and event-triggered mechanism offer a robust solution for practical control applications.