“…Building on the pioneering works [4] and [5], many researchers have been devoted to studying the consensus problem from different perspectives [4]- [8]. Roughly speaking, early literatures can be classified as leaderless consensus or leader-following consensus.…”
Section: Introductionmentioning
confidence: 99%
“…Distinguished from the widely used protocol, we adopt a distributed PD-like protocol to solve the containment control problem. This protocol is partly motivated by the consensus protocol using outdated states in [8]. By augmenting the system dimension and applying the bilinear transformation, we provide a necessary and sufficient condition of control gains under which the containment control problem is solved.…”
Abstract-This paper studies the distributed containment control problem in sampled-data multi-agent systems with directed network topologies. Different from the widely used containment controller which only adopts current information, we consider a distributed PD-like controller which can be regarded as an extension of the traditional PD-type controller for a single system. By augmenting the system dimension and applying the bilinear transformation, we obtain a necessary and sufficient condition of control gains which guarantees that the containment control problem can be solved. It is shown that under the proposed controller with appropriate control gains, the followers will eventually move into the convex hull spanned by the leaders. A numerical is provided to verify the theoretical results.
“…In the last few years, a great number of results on consensus of multiagent systems have been reported in [7]- [29]. For example, consensus problems of linear multiagent systems with time-varying delays were studied in [18], [21], and [22].…”
This paper investigates the output consensus problem of heterogeneous discrete-time multiagent systems with individual agents subject to structural uncertainties and different disturbances. A novel distributed control law based on internal reference models is first presented for output consensus of heterogeneous discrete-time multiagent systems without structural uncertainties, where internal reference models embedded in controllers are designed with the objective of reducing communication costs. Then based on the distributed internal reference models and the well-known internal model principle, a distributed control law is further presented for output consensus of heterogeneous discrete-time multiagent systems with structural uncertainties. It is shown in both cases that the consensus trajectory of the internal reference models determines the output trajectories of agents. Finally, numerical simulation results are provided to illustrate the effectiveness of the proposed control schemes.
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