Fixed-time SOSM controller design subject to an asymmetric output constraint

This paper addresses the problem of fixed-time controller design for the second-order sliding mode (SOSM) dynamics with asymmetric output constraints. Based on the construction of a barrier Lyapunov function (BLF) and the technique of adding a power integrator, a fixed-time SOSM controller that can be used to handle the asymmetric output constraint issue is developed. A strict Lyapunov stability analysis shows that the developed SOSM controller guarantees that the sliding variable can converge to the origin within a fixed time that is irrelevant to the system initial conditions. Meanwhile, the system output will never invade the boundary of the preset asymmetric constrained area. Finally, two examples are given to verify the effectiveness and the feasibility of the proposed scheme. (c) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

Automated summary

This paper addresses the design of a fixed-time controller for second-order sliding mode dynamics with asymmetric output constraints. By constructing a barrier Lyapunov function and adding a power integrator, a fixed-time SOSM controller is developed to handle the asymmetric output constraint issue, ensuring the sliding variable converges to the origin within a fixed time and the system output never violates the asymmetric constrained area boundary. Two examples are provided to verify the effectiveness and feasibility of the proposed scheme.