Event-Triggered Tracking Control for Nonlinear Systems with Mismatched Disturbances: A Non-Recursive Design Approach

• Published in: Mathematics (Basel) Vol. 12; no. 11; p. 1716
• Main Authors: Dong, Gaofeng, Zhao, Xin
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.06.2024
• Subjects: Algorithms; Closed loop systems; Closed loops; Communication; Control algorithms; Control systems; Control systems design; Controllers; Coordinate transformations; Design; Disturbances; event-triggered control; Feedback control; Methods; mismatched disturbances; non-recursive method; Nonlinear control; nonlinear system; Nonlinear systems; Permanent magnets; Recursive methods; Resource utilization; Stability analysis; Synchronous motors; Systems stability; Tracking control; China
• ISSN: 2227-7390; 2227-7390
• DOI: 10.3390/math12111716

Considering the situation of limited resources in practical applications, it is significant to design control algorithms with high resource utilization rates for a class of nonlinear systems subject to mismatched disturbances. In contrast to common recursive methods, this paper proposes a novel event-triggered tracking control approach by co-designing the triggering event and the controller within a non-recursive design framework that combines disturbance estimation techniques and feedforward compensation strategies. Through rigorous Lyapunov stability analysis, the global boundedness of each state in the closed-loop system is demonstrated, and the absence of the Zeno phenomenon is further verified. A representative numerical simulation and a practical implementation for speed regulation of permanent magnet synchronous motor (PMSM) system confirm the effectiveness and simplicity of the proposed control strategy.