<p>This paper is devoted to solving event-trig-gered adaptive state feedback and output feedback control problems for networked uncertain nonlinear systems. To achieve this goal, it is necessary to ensure that the control station receives and sends digital signals, and to address the problem that intermittent virtual control signal caused by the event triggering mechanism cannot use the regular backstepping recursion method. In order to overcome these difficulties, we design a new event-triggered mechanism including system state/output and parameter estimation signals to establish digital controller and realize wireless remote control, and construct a hybrid Lyapunov function to ensure that the desired signals are bounded by using impulsive system analysis theory. In addition, different from the existing system models with Lipschitz nonlinearities, this paper eliminates the influence of non-Lipschitz nonlinear functions on the system by designing a novel nonlinear controller. Based on the state feedback control design, the output feedback digital control problem is further solved. Finally, the effectiveness of the two control strategies is verified by numerical simulation.</p>

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Event-triggered adaptive control for networked Uncertain nonlinear systems with non-lipschitz nonlinearities

  • Ning Zhao,
  • Di Lun,
  • Huiyan Zhang,
  • Yongchao Liu,
  • Wudhichai Assawinchaichote

摘要

This paper is devoted to solving event-trig-gered adaptive state feedback and output feedback control problems for networked uncertain nonlinear systems. To achieve this goal, it is necessary to ensure that the control station receives and sends digital signals, and to address the problem that intermittent virtual control signal caused by the event triggering mechanism cannot use the regular backstepping recursion method. In order to overcome these difficulties, we design a new event-triggered mechanism including system state/output and parameter estimation signals to establish digital controller and realize wireless remote control, and construct a hybrid Lyapunov function to ensure that the desired signals are bounded by using impulsive system analysis theory. In addition, different from the existing system models with Lipschitz nonlinearities, this paper eliminates the influence of non-Lipschitz nonlinear functions on the system by designing a novel nonlinear controller. Based on the state feedback control design, the output feedback digital control problem is further solved. Finally, the effectiveness of the two control strategies is verified by numerical simulation.