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Regional consensus for non-ANCBC systems with input saturation | IEEE Conference Publication | IEEE Xplore

Regional consensus for non-ANCBC systems with input saturation


Abstract:

The primary aim of this paper is to study the regional consensus problem for saturated multi-agent systems satisfying solely the stabilization assumption. For such kind o...Show More

Abstract:

The primary aim of this paper is to study the regional consensus problem for saturated multi-agent systems satisfying solely the stabilization assumption. For such kind of systems, it is recognized that global or semi-global consensus generally cannot be reached. Instead, this paper studies the problem of regional consensus where the initial states of agents lie within a convex set which is positively invariant over a fixed undirected communication network topology. The approach of convex hull representation is extended to deal with the actuator saturation for multi-agents systems. Some sufficient conditions are derived, where the domain of consensus is estimated by the level set of a quadratic function. It is shown that these conditions can be transformed into a collection of linear matrix inequalities (LMIs), based on which an optimization problem is formulated to obtain the possibly largest estimate of the domain of consensus. A numerical example is presented to illustrate the effectiveness of the proposed method.
Date of Conference: 19-21 August 2019
Date Added to IEEE Xplore: 05 December 2019
ISBN Information:
Conference Location: Hong Kong, China

References

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