Nonlinear Bipartite Output Regulation with Application to Turing Pattern
Dong Liang Martin Guay Shimin Wang
In this paper, a bipartite output regulation problem is solved for a class of
nonlinear multi-agent systems subject to static signed communication networks.
A nonlinear distributed observer is proposed for a nonlinear exosystem with
cooperation-competition interactions to address the problem. Sufficient
conditions are provided to guarantee its existence and stability. The
exponential stability of the observer is established. As a practical
application, a leader-following bipartite consensus problem is solved for a
class of nonlinear multi-agent systems based on the observer. Finally, a
network of multiple pendulum systems is treated to support the feasibility of
the proposed design. The possible application of the approach to generate
specific Turing patterns is also presented.