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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Quantized Control of Switched Systems with Partly Unstabilizable Subsystems and Actuator Saturation

by
Jingjing Yan
*,
Yunhui Gu
,
Shengyang Shi
and
Yuqing Zheng
College of Electritical Engineering, Henan University of Technology, Zhengzhou 450001, China
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2025, 30(5), 109; https://doi.org/10.3390/mca30050109
Submission received: 12 August 2025 / Revised: 18 September 2025 / Accepted: 3 October 2025 / Published: 5 October 2025
(This article belongs to the Section Engineering)
Versions Notes

Abstract

This paper solves the stabilization problem of the continuous-time switched systems with partly unstabilizable subsystems subject to actuator saturation and data quantization. The static quantizer is designed by properly restraining the density of the finite partition. The relationship between an ellipse and a polyhedral is established and a suitable expression for the controller suffered by data quantization and actuator saturation is obtained. By defining the attraction domain and the invariant set based on the union or intersection of ellipses, we guarantee the decrement of the Lyapunov function in the optimal case if the state is within a given annular area. On this basis, if average dwell time and activation time of stabilizable subsystems meet some constraints, we derive that every trajectory whose initial state is within the given region will fall into a small ellipsoid and stay in a slightly larger ellipsoid. An illustrative example is given to verify the validity of the theoretical analysis.
Keywords: switched systems; unstabilizable subsystems; quantization; actuator saturation switched systems; unstabilizable subsystems; quantization; actuator saturation

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MDPI and ACS Style

Yan, J.; Gu, Y.; Shi, S.; Zheng, Y. Quantized Control of Switched Systems with Partly Unstabilizable Subsystems and Actuator Saturation. Math. Comput. Appl. 2025, 30, 109. https://doi.org/10.3390/mca30050109

AMA Style

Yan J, Gu Y, Shi S, Zheng Y. Quantized Control of Switched Systems with Partly Unstabilizable Subsystems and Actuator Saturation. Mathematical and Computational Applications. 2025; 30(5):109. https://doi.org/10.3390/mca30050109

Chicago/Turabian Style

Yan, Jingjing, Yunhui Gu, Shengyang Shi, and Yuqing Zheng. 2025. "Quantized Control of Switched Systems with Partly Unstabilizable Subsystems and Actuator Saturation" Mathematical and Computational Applications 30, no. 5: 109. https://doi.org/10.3390/mca30050109

APA Style

Yan, J., Gu, Y., Shi, S., & Zheng, Y. (2025). Quantized Control of Switched Systems with Partly Unstabilizable Subsystems and Actuator Saturation. Mathematical and Computational Applications, 30(5), 109. https://doi.org/10.3390/mca30050109

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