Stability (learning theory)

Control engineering

Settling time

Pedagogy

Mathematics

Economic growth

Mathematical optimization

Machine learning

Engineering

Step response

Mathematical analysis

Artificial intelligence

Psychology

Economics

Control (management)

Tracking (education)

Convergence (economics)

Computer science

Control theory (sociology)

Upper and lower bounds

IEEE/CAA Journal of Automatica Sinica

The finite/fixed-time stabilization and tracking control is currently a hot field in various systems since the faster convergence can be obtained. By contrast to the asymptotic stability, the finite-time stability possesses the better control performance and disturbance rejection property. Different from the finite-time stability, the fixed-time stability has a faster convergence speed and the upper bound of the settling time can be estimated. Moreover, the convergent time does not rely on the initial information. This work aims at presenting an overview of the finite/fixed-time stabilization and tracking control and its applications in engineering systems. Firstly, several fundamental definitions on the finite/fixed-time stability are recalled. Then, the research results on the finite/fixed-time stabilization and tracking control are reviewed in detail and categorized via diverse input signal structures and engineering applications. Finally, some challenging problems needed to be solved are presented.

An Overview of Finite/Fixed-Time Control and Its Application in Engineering Systems