Resilient control design for consensus of nonlinear multi-agent systems with switching topology and randomly varying communication delays

Leaderless and Leader-Following Bipartite Consensus of Multiagent Systems With Sampled and Delayed Information

This article proposes a hybrid systems approach to address the sampled-data leaderless and leader-following bipartite consensus problems of multiagent systems (MAS) with communication delays. First, distributed asynchronous sampled-data bipartite consensus protocols are proposed based on estimators. Then, by introducing appropriate intermediate variables and internal auxiliary variables, a unified hybrid model, consisting of flow dynamics and jump dynamics, is constructed to describe the closed-loop dynamics of both leaderless and leader-following MAS. Based on this model, the leaderless and leader-following bipartite consensus is equivalent to stability of a hybrid system, and Lyapunov-based stability results are then developed under hybrid systems framework. With the proposed method, explicit upper bounds of sampling periods and communication delays can be calculated. Finally, simulation examples are given to show the effectiveness.

Dissipativity-Based Consensus Tracking of Singular Multiagent Systems With Switching Topologies and Communication Delays

This article, based on dissipativity theory, aims to tackle the consensus tracking issue for Lipschitz nonlinear singular multiagent systems (MASs) with switching topologies and communication delays. Rooted at the leader node, a directed spanning tree is assumed to be contained in the union of all possible interaction graphs. Within the framework of topology switching controlled by a Markov chain, communication delays encountered in the data transmission process are reasonably considered to be time-varying and dependent on Markovian jump modes. By using tools from the stochastic Lyapunov functional technique, algebraic graph theory, and strict (Q,S,R)-α -dissipativity analysis, the consensus controller collecting delayed in-neighboring agents' information is designed to ensure stochastic admissibility and strict dissipativity of the resulting consensus error system. The theoretical analysis is validated by numerical simulations.

H∞ consensus of Markovian jump multi-agent systems under multi-channel transmission via output feedback control strategy

This paper studies the H_∞ consensus problem of discrete-time multi-agent systems with Markovian jump parameters and exogenous disturbances via static output feedback control strategy. Each agent's measurement information is transmitted to its neighbors through the multiple quantized channels in which each channel obtains transmission permission based on a Markovian jump dispatcher. A static output feedback consensus controller is employed. In terms of an appropriate Lyapunov function, some sufficient conditions are derived to assure stochastic consensus for multi-agent systems subject to a specified H_∞ performance. At length, a simulation example is provided to illustrate the correctness of the result.