Sliding Mode Control of Uncertain Switched Systems via Length-Limited Coding Dynamic Quantization

Qinqi Xu and Haijuan Zhao ()
Additional contact information
Qinqi Xu: School of Information and Control Engineering, Qingdao University of Technology, Qingdao 266520, China
Haijuan Zhao: School of Information and Control Engineering, Qingdao University of Technology, Qingdao 266520, China

Mathematics, 2024, vol. 12, issue 23, 1-18

Abstract: This paper designs an online adjustment strategy for dynamic quantizer parameters and investigates the sliding mode control (SMC) problem for uncertain switched systems under a limited network communication bandwidth. Due to the limitation of the coding length in practical transmission, coding errors can significantly impact the system’s ideal performance. To address these issues, a dynamic quantizer is introduced to efficiently encode the system state while minimizing quantization error under the constraint of the finite code length. Additionally, a coding and decoding scheme based on dynamic quantization and a suitable sliding mode controller are designed to obtain a closed-loop switched system. Using Lyapunov functions and the average dwell time method, sufficient conditions are derived to guarantee the reachability of the sliding surface and the exponential ultimate bound (EUB) in the mean square for the closed-loop switched system, even in the presence of coding errors and data loss. The theoretical results are validated through numerical simulations, which demonstrate the effectiveness of the proposed approach.

Keywords: switched systems; sliding mode control; dynamic quantizer; encoding–decoding scheme (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/23/3749/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/23/3749/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:23:p:3749-:d:1532021

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().