Output Feedback Synchronization Control Of Complex Networks

In recent years,the study and discussion of complex systems have been one of the key issues concerned by scholars at home and abroad.In order to facilitate further research and discussion,complex systems are usually abstracted and summarized as complex networks composed of multiple interacting individuals.Therefore,as an important tool and method to study the complex systems,complex networks began to enter people's attention,and gradually formed a tide of research.Synchronization is a common phenomenon of complex networks.With its wide applications in secret communication,electronic circuit,biological system and other fields,the research on complex networks synchronization has become one of the hot topics in the 21 st century.In a large number of practical engineering problems,the state of the network is often unmeasured,even if the state of the network can be measured,the required control cost is very high,and the reliability of the network is difficult to ensure.Therefore,it is imperative to study the output feedback control strategy.This paper focuses on deep research on output feedback synchronous control of complex networks.The specific contents are summarized as follows:Firstly,the output feedback synchronization problem is studied for a class of complex networks with nonlinear uncertainties and output coupling.By using the static output feedback control strategy and adaptive control strategy,two sufficient criteria that the synchronization error system can converge in a finite time are obtained based on Lyapunov stability theory.Finally,the simulation results show the effectiveness of the control methods.Secondly,the output feedback quantization synchronization control of complex networks is studied.The state observer is used to estimate the unmeasurable state of the system and the output feedback controller is designed.A quantizer is used to quantify the control input signal and a norm bounded uncertainty method is used todeal with the control quantization problem.The observer gain matrices and controller gain matrices are obtained by linear matrix inequality.The asymptotic stability of observation error dynamic system and synchronization error dynamic system is proved according to Lyapunov stability theory.Thirdly,the fault-tolerant synchronization control is studied for complex networks with actuator faults.Then,the actuator faults consider partial loss of effectiveness,bias fault and the existence of both.The design method of dynamic output feedback controller is presented by using linear matrix inequality technique.Furthermore,via Lyapunov stability theory,it is proved that the synchronization errors asymptotically converge to for the fault-free case,while the synchronization errors are bounded for the faulty cases.Finally,a simulation example is given to illustrate the effectiveness of the theoretical results.