Pulse-modulated intermittent control for consensus of multi-agent systems with switching topology
Zhi‐Wei Liu, Yan Wang, Bin Hu, Ming Chi, Zhi‐Hong Guan, Hong Liang Zhou · 2016
An intermittent control scheme is presented for consensus of the multi-agent system, in term of the pulse function, which is introduce to describe the constraints of the actuator. The proposed scheme is a general framework covering the impulsive control, and (zero-order hold) sampled control by choosing special functions as the pulse function. By using graph theory and the property of stochastic matrices, some sufficient conditions are obtained to ensure the consensus of the controlled network. It is shown that under certain assumptions upon the control gains, sampling interval and pulse function, consensus can be achieved if the communication graph has a spanning tree jointly. Finally, two simulation examples are given to verify and illustrate the theoretical results.