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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.
ISA Transactions
|October 26, 2025
Summary
This study presents an event-triggered control method for nonlinear systems, ensuring stability and convergence within a user-defined time. The approach conserves communication resources and is validated through simulations.
Area of Science:
- Control Engineering
- Nonlinear Systems Theory
- Adaptive Control
Background:
- Prescribed-time control addresses convergence within a fixed timeframe, crucial for real-time applications.
- Nonlinear systems with unknown control directions and time-varying parameters pose significant control challenges.
- Event-triggered control strategies aim to reduce communication load by transmitting data only when necessary.
Purpose of the Study:
- To develop an event-triggered prescribed-time control strategy for uncertain nonlinear systems.
- To handle unknown control directions and time-varying parameters using Nussbaum gains.
- To design a controller that ensures boundedness and prescribed-time convergence of system states.
Main Methods:
- A prescribed-time adjustment function with a unity exponent is utilized to simplify controller design.
- A novel dynamic event-triggered mechanism adaptively regulates the threshold parameter, saving communication resources.
- Nussbaum gains are incorporated to address the issue of unknown control directions.
Main Results:
- The proposed controller guarantees that system variables remain bounded.
- System states are shown to converge to the origin within a user-specified, arbitrarily chosen time.
- The convergence time is independent of the system's initial conditions.
Conclusions:
- The developed event-based prescribed-time controller effectively manages uncertain nonlinear systems.
- The approach offers significant advantages in communication efficiency and flexible convergence time.
- Simulation results confirm the practical feasibility and performance of the proposed control strategy.
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