Non-overshooting tracking control for nonlinear systems with prescribed finite-time

Area of Science:

• Control Systems Engineering
• Nonlinear Dynamics

Background:

• Strict-feedback systems present challenges in achieving precise control.
• Finite-time control aims for faster convergence than traditional asymptotic methods.
• Non-overshooting tracking control (NOTC) is crucial for applications sensitive to overshoot.

Purpose of the Study:

• To develop a non-overshooting tracking control (NOTC) strategy for strict-feedback systems.
• To achieve prescribed finite-time (FT) stability.
• To reduce conservatism in existing control conditions.

Main Methods:

• A novel criterion lemma for prescribed finite-time stable control was proposed.
• Backstepping technique combined with the criterion lemma for controller design.
• Analysis of NOTC conditions based on the closed-loop system (CLS).

Main Results:

• A controller design ensuring non-overshooting tracking control in finite time.
• Broader conditions for NOTC compared to previous studies, reducing conservatism.
• Demonstrated increase in system accuracy by eliminating overshoot.

Conclusions:

• The proposed control algorithm effectively achieves non-overshooting tracking control for strict-feedback systems within a finite time.
• The method offers improved accuracy and reduced conservatism.
• Simulation results validate the algorithm's efficacy.