Non-Fragile Quantized Consensus for Multi-Agent Systems Based on Incidence Matrix
Xiang‐Gui Guo, Jianliang Wang, Fang Liao, Rodney Teo · 2019
This chapter explores the quantization effect on a non-fragile control law for Lipschitz nonlinear multi-agent systems with quantization information under undirect communication graphs. Quantized insensitive consensus control laws are implementable with quantized values of the relative states by using incidence matrix instead of adjacency matrix. Sufficient conditions of the existence of the proposed control strategy are also obtained by using matrix inequality techniques. Consensus is an important problem in the area of cooperative control of multi-agent systems and has wide application background in areas such as formation flight, traffic control, networked control and flocking problems. A new technique has been developed to solve additive interval-bounded controller coefficient variations where the numerical problem caused by using interval-bounded variations can be solved effectively. Sufficient conditions of the existence of the proposed controllers are derived by using matrix inequalities.