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Research Papers

Formation Control Protocols for Nonlinear Dynamical Systems Via Hybrid Stabilization of Sets

[+] Author and Article Information
Wassim M. Haddad

School of Aerospace Engineering,
Georgia Institute of Technology,
Atlanta, GA 30332-0150
e-mail: wm.haddad@aerospace.gatech.edu

Sergey G. Nersesov

Department of Mechanical Engineering,
Villanova University,
Villanova, PA 19085-1681
e-mail: sergey.nersesov@villanova.edu

Qing Hui

Department of Mechanical Engineering,
Texas Tech University,
Lubbock, TX 79409-1021
e-mail: qing.hui@ttu.edu

Masood Ghasemi

Department of Mechanical Engineering,
Villanova University,
Villanova, PA 19085-1681
e-mail: mghase01@villanova.edu

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received April 23, 2013; final manuscript received April 22, 2014; published online July 9, 2014. Assoc. Editor: Shankar Coimbatore Subramanian.

J. Dyn. Sys., Meas., Control 136(5), 051020 (Jul 09, 2014) (13 pages) Paper No: DS-13-1165; doi: 10.1115/1.4027501 History: Received April 23, 2013; Revised April 22, 2014

In this paper, we develop a hybrid control framework for addressing multiagent formation control protocols for general nonlinear dynamical systems using hybrid stabilization of sets. The proposed framework develops a novel class of fixed-order, energy-based hybrid controllers as a means for achieving cooperative control formations, which can include flocking, cyclic pursuit, rendezvous, and consensus control of multiagent systems. These dynamic controllers combine a logical switching architecture with the continuous system dynamics to guarantee that a system generalized energy function whose zero level set characterizes a specified system formation is strictly decreasing across switchings. The proposed approach addresses general nonlinear dynamical systems and is not limited to systems involving single and double integrator dynamics for consensus and formation control or unicycle models for cyclic pursuit. Finally, several numerical examples involving flocking, rendezvous, consensus, and circular formation protocols for standard system formation models are provided to demonstrate the efficacy of the proposed approach.

Copyright © 2014 by ASME
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References

Figures

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Agent positions in the plane

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Control forces in x direction

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Control forces in y direction

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Velocities in x direction

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Velocities in y direction

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Generalized energy functions Vp(xp(t)) and Vc(xc(t), xp(t)) versus time

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Agent positions in the plane

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Control forces in x direction

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Control forces in y direction

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Generalized energy functions Vp(xp(t)) and Vc(xc(t), xp(t)) versus time

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Plant states xp versus time

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Control inputs versus time

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Generalized energy functions Vp and Vc versus time

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Agent positions in the plane

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Agent velocities versus time

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Agent angular velocities versus time

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Agent orientations versus time

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