Title
Distributed adaptive output consensus control of second-order systems containing unknown non-linear control gains.
Abstract
In this paper, we address the output consensus problem of tracking a desired trajectory for a group of second-order agents on a directed graph with a fixed topology. Each agent is modelled by a second-order non-linear system with unknown non-linear dynamics and unknown non-linear control gains. Only a subset of the agents is given access to the desired trajectory information directly. A distributed adaptive consensus protocol driving all agents to track the desired trajectory is presented using the backstepping technique and approximation technique of Fourier series FSs. The FS structure is taken not only for tracking the non-linear dynamics but also the unknown portion in the controller design procedure, which can avoid virtual controllers containing the uncertain terms. Stability analysis and parameter convergence of the proposed algorithm are conducted based on the Lyapunov theory and the algebraic graph theory. It is also demonstrated that arbitrary small tracking errors can be achieved by appropriately choosing design parameters. Though the proposed work is applicable for second-order non-linear systems containing unknown non-linear control gains, the proposed controller design can be easily extended to higher-order non-linear systems containing unknown non-linear control gains. Simulation results show the effectiveness of the proposed schemes.
Year
DOI
Venue
2016
10.1080/00207721.2016.1139760
Int. J. Systems Science
Keywords
Field
DocType
Output consensus, distributed control, adaptive control, Fourier series, unknown control gains
Consensus,Lyapunov function,Mathematical optimization,Backstepping,Nonlinear control,Control theory,Directed graph,Algebraic graph theory,Adaptive control,Trajectory,Mathematics
Journal
Volume
Issue
ISSN
47
14
0020-7721
Citations 
PageRank 
References 
7
0.46
24
Authors
4
Name
Order
Citations
PageRank
gang wang1576.61
Chaoli Wang25811.04
qinghui du3221.30
Xuan Cai4225.77