Finite‐time consensus of leader‐following non‐linear multi‐agent systems via event‐triggered impulsive control

Abstract

Abstract This work is concerned with the finite‐time consensus of leader‐following non‐linear multi‐agent systems by means of distributed event‐triggered impulsive control. The finite‐time consensus protocol is first put forward based on event‐triggered impulsive strategies, where the impulsive instants are determined by the proposed event‐triggered condition. For the event‐triggered condition, it not only determines the impulsive instants but also effects the update time of the finite‐time control. Moreover, compared with the existing finite‐time controllers, the controller designed in this work does not contain any sign function, thereby overcoming the chattering phenomenon. In addition, without finding Zeno behaviour, the feasibility of the proposed control protocol is demonstrated. Lastly, simulations are employed to demonstrate the effectiveness of the proposed control schemes.

Keywords

• Control system analysis and synthesis methods
• Multivariable control systems