Work

On the stability criteria for constrained switched linear systems with multiple faults

Year: 2025

Type: article

Abstract: Switched systems play an imperative role in modeling many real industrial systems with abrupt changes. Due to possible exposure to unreliable and complex physical environments, switching dynamics may simultaneously face multiple faults, including the unexpected controller disconnect, the temporary mismatch between subsystems and desired corresponding controllers, and the intermittent disordering of mode transitions. These commonly arising faults may result in severe and detrimental impacts on the reliability and convergence of the closed-loop solution, thereby bringing significant yet challenging issues to be tackled. This paper provides the first attempt to investigate the stabilization problem for a class of constrained switched linear systems with multiple faults under mode-dependent dwell time (MDT). From a set-theory perspective, we demonstrate a critical necessary and sufficient stability condition for switched systems without uncertainties. Moreover, the non-conservative stability criterion is further extended to the perturbed switched systems with rigorous proof. A switching communication network example verifies the validity of the theoretical result and demonstrates their advantages.

Source: Journal of Automation and Intelligence

DOI: 10.1016/j.jai.2025.04.002

Authors: Tianyu Tan, Kunwu Zhang, Keyong Shao, Songlin Zhuang, Yang Shi

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Natural Sciences and Engineering Research Council of Canada, Japan Society for the Promotion of Science, Natural Science Foundation of Zhejiang Province

OpenAlex ID: W4409727582

FWCI:

Cites: 48

Cited by:

Related to: 10