Homogeneous constrained finite-time controller for double integrator systems: Analysis and experiment

In this paper, the finite-time control problem for a class of double integrator systems under state constraints is investigated. Different from the traditional finite-time control methods with constant gains, an improved finite-time controller with state-dependent gains is designed. The main challenges lie in the finite-time stability analysis of the resultant closed-loop system caused by state-dependent control gains and how to make the system states keep in the constrained region. Based on the homogeneous system theory, the finite-time stability of the closed-loop system under state constraints is proved. In addition to the finite-time convergence, it is also shown that the states of the system always are kept in the constrained region. Finally, the developed finite-time controller is applied to buck converter and the validity of the proposed method is verified through a DC-DC buck converter under voltage and current constraints. (C) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This paper investigates the finite-time control problem for a class of double integrator systems under state constraints, with an improved finite-time controller designed with state-dependent gains. The finite-time stability of the closed-loop system under state constraints is proven based on homogeneous system theory. The results show that the system states can be kept within the constrained region.