Fuzzy control system

Quantum mechanics

Adaptive control

Control (management)

Step response

Engineering

Backstepping

Control engineering

Adaptive system

Stability (learning theory)

Computer science

Bounded function

Settling time

Tracking error

Physics

Hysteresis

Nonlinear system

Mathematics

Fuzzy logic

Mathematical analysis

Artificial intelligence

Control theory (sociology)

Machine learning

IEEE Transactions on Fuzzy Systems

The adaptive fuzzy predefined-time tracking control problem for a class of nonlinear systems with output hysteresis is investigated in this article. An inverse model is utilized to capture the output hysteresis phenomenon, and then, the Nussbaum-type function technique is utilized to overcome the difficulty of unknown time-varying control gain caused by output hysteresis. An adaptive fuzzy control scheme under the backstepping framework is developed using the predefined-time stability criterion. Different from the existing predefined-time design approaches, the adaptive law designed in this article is represented as a nonlinear differential equation. Theoretical analysis demonstrates that all signals of the closed-loop systems are bounded, and the tracking error can converge to the neighborhood near the origin within an expected settling time. The developed scheme's feasibility is verified by an example of an electromechanical system.

Predefined-Time Adaptive Fuzzy Control for a Class of Nonlinear Systems With Output Hysteresis