Echo State Network-Based Adaptive Event-Triggered Control for Stochastic Nonaffine Systems with Actuator Hysteresis

Shuxian Lun (), Zhenkai Qin, Xiaodong Lu (), Ming Li and Tianping Tao
Additional contact information
Shuxian Lun: School of Control Science and Engineering, Bohai University, Jinzhou 121013, China
Zhenkai Qin: School of Control Science and Engineering, Bohai University, Jinzhou 121013, China
Xiaodong Lu: School of Information Engineering, Suqian University, Suqian 223800, China
Ming Li: School of Control Science and Engineering, Bohai University, Jinzhou 121013, China
Tianping Tao: Combat Support College, Rocket Army Engineering University, Xi’an 710025, China

Mathematics, 2023, vol. 11, issue 8, 1-18

Abstract: This paper studies the problem of the event-triggered control of nonaffine stochastic nonlinear systems with actuator hysteresis. The echo state network (ESN) is introduced to approximate an unknown nonlinear function. The command filtering technology is used to avoid the derivation of the virtual controller in the controller design process and tries to solve the problem of complexity explosion in the traditional method. Based on Lyapunov’s finite-time stability theory, the proposed method verifies the stability of non-affine stochastic nonlinear systems. It is proved that the proposed controller method can guarantee that all of the signals in the closed-loop system are bounded, and the tracking error can converge to a minimal neighborhood of zero even if there exists an actuator hysteresis. The effectiveness of the proposed method is demonstrated by the simulation example. The simulation results show that the proposed method is effective.

Keywords: stochastic nonaffine systems; adaptive control; echo state network (ESN); event-triggered; hysteresis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/8/1884/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/8/1884/ (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:11:y:2023:i:8:p:1884-:d:1124616

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 ().