Adaptive fuzzy dynamic surface control for nonstrict-feedback nonlinear state constrained systems with input dead-zone via event-triggered sampling

• Published in: Applied mathematics and computation 2023-08, Vol.450, p.127985, Article 127985
• Main Authors: Hu, Yifan, Liu, Wenhui
• Format: Article
• Language: English
• Subjects: Adaptive fuzzy control; Dead-zone; Dynamic surface control; Event-triggering; Full-state constraints
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2023.127985

•Different with the relevant literature, the nonlinear systems in the existence of computation burden while sustaining dead-zone constraints is considered in this paper. An adaptive controller and an auxiliary system are cooperatively constructed to compensate for the mismatch between the controller signal and the actuator signal and offset the effect of dead-zone nonlinear function. Integrated with the backstepping method, an adaptive compensation control scheme is developed.•By utilizing the DSC technique combined with the ETC algorithm, the system’s operating rate can be effectively promoted and transmission resources can be greatly saved. Accordingly, the control property of the system can be well enhanced. Moreover, the collaborative devise of the adaptive fuzzy controller and the ETC algorithm eliminates the input-to-state stability hypothesis in the existing literature.•The BLF candidates proposed in this article can make the state variables maintain within the prescribed ranges, which is aligned with the requirements of the actual engineering. Furthermore, a variable separation technology is adopted to handle the algebraic loop issue generated by nonstrict-feedback nonlinear systems. Compared with the existing literature, by employing the characteristics of the fuzzy membership function in the FLSs, the construction procedure for the nonstrict-feedback system is simplified. Therefore, the difficulty coefficient of establishing the control algorithm is reduced. In this paper, a novel adaptive fuzzy dynamic surface control (DSC) via the event-triggered mechanism is developed for nonstrict-feedback nonlinear state constrained systems preceded by actuator dead-zone. The utilization of the dynamic surface technique avoids the issue of repeated differentiation of virtual control law and eliminates the drawback of the explosion of complexity with the backstepping technique. By utilizing the universal approximation property of fuzzy logic systems (FLSs), the unknown function is approximated successfully. By combining the DSC and event-triggered control (ETC) scheme, communication and computation strain are alleviated contemporaneously. An adaptive controller and an auxiliary system are cooperatively constructed to offset the effect of dead-zone nonlinear function. By employing the barrier Lyapunov functions (BLFs), all the states can remain within a prescribed interval. The tracking error can be restricted at the origin and all signals of closed-loop syste