Fixed-time Consensus And Secure Consensus For Multi-Agent System Via Impulsive Control

In recent years,multi-agent systems(MASs)have attracted great attention from engi-neering,social science,mathematics,physics,and so on.Compared with single system,multi-agent systems can be used to complete some difficult tasks that are impossible for a single agent due to the mutual cooperation between agents.So multi-agent systems are more practical.On the other hand,impulsive control as a special discontinuous con-trol method,it has some advantages,such as,high efficiency,maintenance with low cost,high reliability,better robustness and convenience.The impulsive control has be widely applied in different fields,such as,cancer treatment,confidential communications,self-driving design,biological population control and automatic regulation of frequency in electric power system.However,in the majority of works,the authors applied the contin-uous control methods to solve the consensus problem for multi-agent system,which have high requirements for the stability of the communication network and would have some disadvantages,such as,easily be attacked,information redundancy and maintenance with high cost.Therefore,it is necessary to introduce the distributed impulsive control method into the consensus problem of multi-agent systems.In the thesis,the author mainly focus-es on the consensus problem for multi-agent system via impulsive control,and the main works are divided into the following two aspects:1.The authors address the leaderless fixed-time consensus(LLFTC)and leader-following fixed-time consensus(LFFTC)problems for multi-agent systems via impulsive control.Firstly,a novel fixed-time stability for impulsive dynamical system is developed.Then the novel fixed-time impulsive control protocols are designed to achieve leaderless and leader-following consensus for MASs.Based on the impulsive control theory,fixed-time stability theory and algebraic graph theory,some sufficient conditions are derived for each agent to achieve LLFTC and LFFTC under the proposed control protocols.Simula-tions are provided to illustrate the effectiveness of the proposed control scheme.2.For general delayed nonlinear multi-agent systems,the author investigates fault-tolerant secure consensus tracking(SCT)with deception attacks,uncertain parameters and actuator failure via impulsive control.The deception attacks are considered in the infor-mation exchange channels among neighbour agents and it would be modeled as a Bernoul-li distribution.A class of distributed impulsive control protocols is proposed.Some suffi-cient conditions for achieving mean-square bounded consensus(MSBC)are obtained.The mean-square error bounds are derived which are associated with the energy of deception attack and the expectation matrix involved with actuator failure.Simulations are provided to illustrate the effectiveness of the proposed control scheme.