Stability (learning theory)

Combinatorics

Physics

Nonlinear system

Mathematics

Adaptive control

Mathematical optimization

Machine learning

Mathematical analysis

Artificial intelligence

Singularity

Fuzzy control system

Control (management)

Interval (graph theory)

Computer science

Adaptive system

Fixed point

Quantum mechanics

Control theory (sociology)

Fuzzy logic

IEEE Transactions on Fuzzy Systems

Most current methodologies on fixed-time adaptive fuzzy control for uncertain nonlinear systems result in practical fixed-time stability but not fixed-time stability, or require prior knowledge of the system dynamics. To obviate such restrictions, a fixed-time adaptive fuzzy control scheme is newly proposed with the discoveries of a singularity-avoidance virtual control design, a modified class of tuning functions and a projection operator-based adaptation mechanism. Fixed-time stability is established in the sense that the tracking error asymptotically converges to a user-defined interval within a prescribed fixed time. Illustrative examples verify the approaches developed.

Fixed-Time Adaptive Fuzzy Control for Uncertain Nonlinear Systems