A General Framework for Robust Output Synchronization of Heterogeneous Nonlinear Networked Systems

Leader‐following consensus for nonlinear agents with measurement feedback

“…Therefore, the problem of achieving leader‐following consensus boils down to make this invariant manifold globally attractive using the stabilization techniques in the case of identical agents. ( Leader‐following consensus for identical agents with uncertainties ) In Section 8.4, it is shown how to modify the initial assumptions when identical agents and time‐varying bounded uncertainties are considered. In this case, a disturbance‐to‐consensus IIS‐type result is obtained, with a result comparable to the work of Zhu et al (although with the restrictions on the class of systems enlightened earlier), whereas, in the work of Zhu et al, consensus is achieved despite the unknown constant parameter.…”

“…Assumption is a restriction on the agents' trajectories, which may not escape to infinity in finite time as long as the input is bounded. ISS properties of the agents' dynamics with respect to fixed compact sets have been required in papers as of assumption 2 in the work of Isidori et al, assumption 5 in the work of Su and Huang, and formulas (44), (45) in the work of Zhu et al In this sense and when the comparison is carried out in a leader‐following framework, our assumption is more general because we simply require that the agents's trajectories do no not explode in finite time under the effect of bounded inputs. The technical reason for this weaker assumption is that it is sufficient to give the agents' controllers the time to recover the information on the (unknown) magnitude of the leader's state while maintaining their state bounded.…”

Output‐feedback adaptive consensus tracking control for a class of high‐order nonlinear multi‐agent systems

“…Because model uncertainties inevitably exist in almost all the control problems, consensus for uncertain multi‐agent systems has received an increasing amount of attention. In , some effective control schemes were proposed to address this problem by elegantly using robust control approaches under the condition that the bounds of the uncertainties are known. As we know, adaptive control is also an important tool to handle uncertainties and is specially suitable for those without bound knowledge.…”

Robust cooperative output regulation of heterogeneous Lur'e networks

“…These will obtain the network performance down. Therefore, only relative measurement‐based coordination is advocated, which can be performed by sensors . It would be a possible future topic to design relative measurement‐based synchronization protocols for heterogeneous Lur'e networks.…”

“…It would be a possible future topic to design relative measurement‐based synchronization protocols for heterogeneous Lur'e networks. Here, we want to stress that the agent dynamics we consider contains functional uncertainties , while parametric uncertainties are considered in . Whereas output regulation with parametric uncertainties has been extensively studied, there are few efforts on robust output regulation against functional uncertainties.…”