Event‐triggered asymmetrical saturation‐constraint impulsive control of multi‐agent systems

Abstract

AbstractThe impulsive consensus problem of nonlinear multi‐agent system under energy consumption constraint is considered in the article. For considering the restricted communication channel, asymmetrical input saturation constraint is adopted into impulse control protocol. Then, based on the current national policy of energy conservation and emission reduction, a novel control protocol which combines asymmetrical input saturation constraint impulse protocol with event‐triggered approach is raised and set event decision time at pulse time. Then, the control protocol not only can be able to decrease communication frequency and energy consumption, but also avoid “Zeno behavior”. Furthermore, some theorems and their proofs about the consensus problems with and without leader are provided. Through mathematical derivation, sufficient conditions of problems have been crystallized. In the end, some different simulation instances are presented to verify the research.