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In this article, an output regulation problem is considered for nonlinear multiagent systems with unity relative degree, in which nodes are coupled by dynamic edges. The inputs of the edge dynamic systems are determined by the error outputs of the node dynamic systems. Similarly, the neighboring inputs of the node dynamic systems are formed by the outputs of the edge dynamic systems and can influence node outputs. By introducing some coordinate transformations, we can transform the output regulation problem into a robust stabilization problem for an augmented system. Then, using the relative outputs of neighboring agents, we design a distributed output-feedback control law and suitable dynamic couplings between the nodes. Finally, it is shown that the global stabilization of the augmented system can be achieved using the proposed controller. An example is presented to demonstrate the effectiveness of our control strategy. [ABSTRACT FROM AUTHOR]

The finite-time output regulation (FTOR) problem for linear heterogeneous multi-agent systems (MAS) is investigated in this brief. The objective of this brief is to design controllers such that each agent can accurately track the reference signal and reject the disturbance. The disturbance and reference signal are generated by an exosystem. It is assumed that only a part of agents can obtain the state and system matrix of the exosystem. Then, distributed fixed-time observers are firstly proposed to estimate them, which can ensure the fixed-time convergence of the estimation errors. Next, we design both state feedback controller and output feedback controller to solve the FTOR problem using feedforward method. By virtue of Lyapunov theory and output regulation technique, it is shown that the proposed control strategy can solve the FTOR problem. Finally, a numerical example is included for illustration. [ABSTRACT FROM AUTHOR]

In this paper, a bipartite consensus problem is considered for a high-order multiagent system with unknown disturbances and cooperative-competitive interactions. Two control strategies are proposed to guarantee bipartite consensus for two cases with and without an exogenous system (called leader for simplicity), respectively. Linearly parameterized approaches are applied to describe the time-varying unknown disturbances. Distributed adaptive laws are then designed for the unknown parameters in the disturbances. Adaptive consensus controllers are designed in a fully distributed fashion, which does not rely on any global information. Simulation results are presented to demonstrate the formation of bipartite consensus under the proposed adaptive control strategies. [ABSTRACT FROM AUTHOR]