Event-triggered adaptive neural finite-time tracking control for non-strict feedback stochastic nonlinear systems with unknown time-varying control directions and input nonlinearities

• Published in: Journal of low frequency noise, vibration, and active control Vol. 42; no. 1; pp. 292 - 316
• Main Authors: Yue, Hongyun, Zhang, Wufei, Chen, Qingjiang
• Format: Journal Article
• Language: English
• Published: London, England SAGE Publications 01-03-2023; Sage Publications Ltd; SAGE Publishing
• Subjects: Adaptive control; Error compensation; Feedback; Neural networks; Nonlinear systems; Nonlinearity; Stability analysis; Stochastic systems; Time varying control; Tracking control; Tracking errors; Event-triggered control; finite-time control; unknown time-varying control directions; stochastic nonlinear systems; adaptive neural control; input nonlinearities
• ISSN: 1461-3484; 2048-4046
• DOI: 10.1177/14613484221109132

This paper focuses on dynamic-surface-based event-triggered adaptive neural finite-time tracking control for a category of non-strict feedback stochastic nonlinear system subject to unknown time-varying control directions, and input nonlinearities. Firstly, an improved event-triggered mechanism is presented, which simultaneously considers tracking error variables and compensating for event errors in threshold value. Secondly, a novel Lemma is provided to address concurrently the issues of Nussbaum terms in stability analysis and stochastic system finite-time stability. Thirdly, neural networks are utilized to cope with unknown functions. In addition, the Nussbaum functions are applied to identify time-varying unknown control directions and input nonlinearities. Moreover, the errors of the dynamic surface technique are compensated successfully by error compensation signals. By combining the proposed Lemma 1 and event-triggered adaptive neural finite-time control scheme, finite-time stability of considered systems in probability can be guaranteed, the tracking error can drive to a small neighborhood of the origin in finite time, and the Zeno behavior can be excluded. Finally, the effectiveness of the designed control scheme has been demonstrated through a second-order numerical system and a mass-spring-damper example.