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Event-triggered prescribed-time control for nonlinear systems with time-varying parameters and unknown control
Zhumu Fu1, Yujia Meng2, Nan Wang3
1College of Information Engineering and Artificial Intelligence, Henan University of Science and Technology, Luoyang, 471023, Henan, China; Zhongyuan University of Technology, Zhengzhou, 451191, Henan, China; Key Laboratory of Robot and Intelligent System of Henan Province, Henan University of Science and Technology, Luoyang, 471023, Henan, China.
Abstract:
This paper tackles an event-triggered prescribed-time control problem for nonlinear systems with unknown control directions and time-varying parameters. By the definition of the prescribed-time adjustment function, a theorem is introduced to deal with the uncertain systems with Nussbaum gains. The exponent of the function can be set to unity, which alleviates the derivative burden in the process of controller derivation. A novel dynamic event-triggered mechanism, designed to save communication resources, is presented to adaptively regulate the threshold parameter. Then, an event-based prescribed-time controller is devised to ensure that system variables are bounded and system states converge to the origin within prescribed time. Moreover, the convergence time is independent of system initial conditions and can be chosen arbitrarily in advance. Finally, two simulation examples verify the feasibility of the proposed approach.
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