Observer-based output feedback synchronisation control of delayed complex dynamical networks with two-channel dynamic event-triggered schemes and quantisations

Based on a distributed state observer, the problem of output feedback synchronisation control for a class of discrete-time delayed complex dynamical networks is studied. In order to solve the energy consumption and communication constraints, dynamic event-triggered mechanisms on sensor and controller sides are proposed by introducing two internal dynamical variables, respectively. Compared with traditional static event-triggered schemes, it effectively reduces the frequency of controller and observer update. Meanwhile, the effects of quantisation occurring in both input and output channels are considered. By means of the linear matrix inequality approach, the distributed state observer and output feedback controller of delayed complex dynamical networks can be designed simultaneously. The exponentially ultimately boundedness of synchronisation errors and estimation errors of complex dynamical networks is guaranteed via the Lyapunov stability theory. Finally, the circuit realisations for the proposed dynamic event-triggered synchronisation control approach are given, and the effectiveness of the obtained theoretical results is demonstrated through the simulation.