Stability analysis of the switching system triggered by an error-type event under the nested saturation of the actuator

Lijuan Liu; Shuyue Chen; Yong Ning

doi:10.1117/12.3036983

9 August 2024 Stability analysis of the switching system triggered by an error-type event under the nested saturation of the actuator

Lijuan Liu, Shuyue Chen, Yong Ning

Author Affiliations +

Proceedings Volume 13220, Third International Conference on Mechatronics and Mechanical Engineering (ICMME 2024); 1322015 (2024) https://doi.org/10.1117/12.3036983
Event: International Conference on Mechatronics and Mechanical Engineering (ICMME 2024), 2024, Xi'an, China

Abstract

Switching systems offer an efficient approach for modeling and controlling intricate systems, and their associated topics have garnered significant attention in the realm of control research. Current research pertaining to the analysis of stability and the development of controllers for these systems often relies on methods such as dwell time or state feedback, which can lead to unnecessary switching and control actions. However, the event-triggered control method can effectively minimize the frequency of communication and control, thereby conserving valuable communication and computational resources. In light of this, an error-type event triggering mechanism(ETM) and state-dependent switching signal(STSS) are proposed for a kind of actuator nested saturation(NES) switching system, and compared with the mode-dependent average dwell time(MDADT) switching method, the advantage of excluding Zeno phenomenon without calculation is obtained. The technique of multiple Lyapunov functions(MLF) ensures stability by fulfilling the required conditions of the local exponential stability(LES) of the switched system(SCHS) and related inferences. The ultimate validation of the proposed method's efficiency comes through simulation examples. The approach introduced in this paper considers both the cost of switching and non-intrusive switching performance while minimizing the number of switches. Furthermore, a plan for achieving stable and effective switching in NES systems is outlined.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

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Lijuan Liu, Shuyue Chen, and Yong Ning "Stability analysis of the switching system triggered by an error-type event under the nested saturation of the actuator", Proc. SPIE 13220, Third International Conference on Mechatronics and Mechanical Engineering (ICMME 2024), 1322015 (9 August 2024); https://doi.org/10.1117/12.3036983

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KEYWORDS

Switching

Control systems

Actuators

Matrices

Design

Bismuth

Error analysis

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