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- Title
Event‐triggered adaptive stabilization control of stochastic nonlinear systems with unmodeled dynamics.
- Authors
Chen, Yang; Liu, Yan‐Jun; Liu, Lei; Tong, Shaocheng; Xu, Tongyu
- Abstract
In this paper, we present a novel controller design method for stochastic nonlinear systems with unmodeled dynamics, uncertain parameters, and unknown covariance noise. In order to deal with these uncertainties, a new event‐based small gain controller is designed. The event‐triggered scheme can reduce the computational burden caused by disturbance and noise. By combining the technique of changing supply rate with small gain condition, a stochastic input‐to‐state practically stability Lyapunov function is obtained for the subsystem. Simultaneously, the changing supply function is used to treat with unmodeled dynamics. Based on backstepping process and adaptive control approach, the influence of unknown covariance noise is overcome. It is proved that the designed state‐feedback controller can ensure the overall system is stochastic input‐to‐state practically stability.
- Subjects
NONLINEAR systems; STOCHASTIC systems; SYSTEM dynamics; ADAPTIVE fuzzy control; NONHOLONOMIC dynamical systems; ADAPTIVE control systems; LYAPUNOV stability; LYAPUNOV functions
- Publication
International Journal of Robust & Nonlinear Control, 2023, Vol 33, Issue 10, p5322
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.6645