Adaptive Event-Triggered Control of Stochastic Nonlinear Systems With Unknown Dead Zone

• Published in: IEEE transactions on fuzzy systems Vol. 31; no. 1; pp. 138 - 147
• Main Authors: Wang, Tong, Wang, Nan, Qiu, Jianbin, Buccella, Concettina, Cecati, Carlo
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.01.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptation models; Adaptive control; Backstepping; backstepping control; Closed loops; Computational modeling; Design parameters; Event triggered control; Feedback control; Fuzzy logic; net- worked control; Nonlinear control; Nonlinear systems; Observers; Output feedback; Probability theory; Stability analysis; State observers; stochastic nonlinear systems; Stochastic processes; Stochastic systems; Tracking control; Tracking errors; Uncertainty
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2022.3183763

We consider the tracking control problem for a class of stochastic nonlinear systems in strict-feedback structure via output feedback signal in this article. The controlled plant is assumed subject to unknown dead-zone input. By utilizing the fact that the unknown dead-zone input function can be modeled as a time-varying nonlinear function and a bounded disturbance, and selecting appropriate design parameters, we show that the effect of unknown dead zone can be compensated. We design a fuzzy state observer via fuzzy logic modeling technique to estimate the unknown system states. Then, we prove, via Lyapunov stability analysis, that the controlled plant is bounded in probability. In addition, all the signals in the closed-loop system are guaranteed to be globally bounded in probability. The tracking errors are also ensured to converge to a small neighborhood of the origin. Finally, to show the effectiveness of the proposed control strategy, a simulation example of one-link manipulator is presented in the simulation section.