Zhao, H.; Ma, J.; Xu, Q. A Novel Asynchronous Sliding Mode Design for Switched Systems under Input–Output Finite-Time Stability. Electronics2023, 12, 4519.
Zhao, H.; Ma, J.; Xu, Q. A Novel Asynchronous Sliding Mode Design for Switched Systems under Input–Output Finite-Time Stability. Electronics 2023, 12, 4519.
Zhao, H.; Ma, J.; Xu, Q. A Novel Asynchronous Sliding Mode Design for Switched Systems under Input–Output Finite-Time Stability. Electronics2023, 12, 4519.
Zhao, H.; Ma, J.; Xu, Q. A Novel Asynchronous Sliding Mode Design for Switched Systems under Input–Output Finite-Time Stability. Electronics 2023, 12, 4519.
Abstract
This work investigates the sliding mode control (SMC) problem for a class of uncertain switched systems subject to asynchronous switching and an assigned finite time constraint. Two important issues are how to ensure the reachability of state trajectories within the assigned time and the input-to-output finite-time stability (IO-FTS) of the closed-loop switched systems during the whole phase under asynchronous switching. To achieve these objectives, an asynchronous sliding mode controller with adjustable parameters is constructed to drive the state trajectories onto the sliding surface during the assigned finite-time interval. By means of the partitioning strategy, sufficient conditions for the IO-FTS of the closed-loop switched are derived during the whole phase [0,T] using the multiple Lyapunov function (MLF) approach. Additionally, the asynchronous characteristics are detailedly investigated while analyzing the reachability of a specified sliding surface. Finally, an illustrative example is given to illustrate the effectiveness of the proposed method.
Keywords
Switched systems; input-output finite-time stability; asynchronous switching; sliding mode control
Subject
Engineering, Control and Systems Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
