An Adaptive Multivariable Smooth Second-Order Sliding Mode Approach

TL;DR

This paper introduces an adaptive multivariable smooth second-order sliding mode method for MIMO systems, featuring fast finite-time convergence, disturbance adaptation, and smooth control, validated through simulations.

Contribution

It proposes a new adaptive multivariable smooth second-order sliding mode approach with a disturbance observer, enabling fast convergence and disturbance handling in MIMO control systems.

Findings

Achieves fast finite-time convergence

Ensures systems are uniformly ultimately bounded

Validated effectiveness through numerical simulations

Abstract

This paper presents a novel adaptive multivariable smooth second-order sliding mode approach with the features of fast finite-time convergence, adaptation to disturbances and smooth. This approach can be directly applied to the controller design of multi-input and multi-output (MIMO) systems. In addition, a novel adaptive multivariable smooth disturbance observer is proposed based on this structure. In terms of the types of disturbances, the fast finite-time convergence and the fast finite-time uniformly ultimately boundedness of the systems are proved with the corresponding fast finite-time Lyapunov stability theory. Finally, the effectiveness of the proposed approach is validated by comparative numerical simulations.