Title
Lyapunov, Adaptive, and Optimal Design Techniques for Cooperative Systems on Directed Communication Graphs
Abbreviated Journal Title
IEEE Trans. Ind. Electron.
Keywords
Consensus; cooperative control; Laplacian potential; multiagent system; neural adaptive control; optimal control; MULTIAGENT SYSTEMS; MULTIVEHICLE SYSTEMS; CONSENSUS PROBLEMS; NETWORKS; SYNCHRONIZATION; COORDINATION; AGENTS; ALGORITHMS; PASSIVITY; DELAYS; Automation & Control Systems; Engineering, Electrical & Electronic; Instruments & Instrumentation
Abstract
This paper presents three design techniques for cooperative control of multiagent systems on directed graphs, namely, Lyapunov design, neural adaptive design, and linear quadratic regulator (LQR)-based optimal design. Using a carefully constructed Lyapunov equation for digraphs, it is shown that many results of cooperative control on undirected graphs or balanced digraphs can be extended to strongly connected digraphs. Neural adaptive control technique is adopted to solve the cooperative tracking problems of networked nonlinear systems with unknown dynamics and disturbances. Results for both first-order and high-order nonlinear systems are given. Two examples, i.e., cooperative tracking control of coupled Lagrangian systems and modified FitzHugh-Nagumo models, justify the feasibility of the proposed neural adaptive control technique. For cooperative tracking control of the general linear systems, which include integrator dynamics as special cases, it is shown that the control gain design can be decoupled from the topology of the graphs, by using the LQR-based optimal control technique. Moreover, the synchronization region is unbounded, which is a desired property of the controller. The proposed optimal control method is applied to cooperative tracking control of two-mass-spring systems, which are well-known models for vibration in many mechanical systems.
Journal Title
Ieee Transactions on Industrial Electronics
Volume
59
Issue/Number
7
Publication Date
1-1-2012
Document Type
Article
Language
English
First Page
3026
Last Page
3041
WOS Identifier
ISSN
0278-0046
Recommended Citation
"Lyapunov, Adaptive, and Optimal Design Techniques for Cooperative Systems on Directed Communication Graphs" (2012). Faculty Bibliography 2010s. 3551.
https://stars.library.ucf.edu/facultybib2010/3551
Comments
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