• DocumentCode
    3575774
  • Title

    Optimal control of first-order multi-agent systems with leaders

  • Author

    Jingying Ma ; Huaizhu Wang ; Yuanshi Zheng ; Long Wang

  • Author_Institution
    Sch. of Math. & Comput., Ningxia Univ., Yinchuan, China
  • fYear
    2014
  • Firstpage
    607
  • Lastpage
    611
  • Abstract
    This paper considers optimal control for the first-order multi-agent systems with leaders. Based on linear quadratic regulator theory, we propose a quadratic cost function which is independent of the interaction graph. For the leader-following consensus problem, the optimal control corresponds to a star topology. For the containment control problem, the optimal control is obtained by solving a series of convex optimization problems. Simulation examples are provided to illustrate the effectiveness of the theoretical results.
  • Keywords
    convex programming; graph theory; linear quadratic control; multi-agent systems; containment control problem; convex optimization problem; first-order multiagent system; interaction graph; leader-following consensus problem; linear quadratic regulator theory; optimal control; quadratic cost function; star topology; Convergence; Cost function; Multi-agent systems; Optimal control; Switches; Topology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Mechatronics and Control (ICMC), 2014 International Conference on
  • Print_ISBN
    978-1-4799-2537-7
  • Type

    conf

  • DOI
    10.1109/ICMC.2014.7231627
  • Filename
    7231627