Finite-Time Consensus for Systems with Second-Order Uncertain Dynamics Under Undirected Topology

  • Yongduan SongEmail author
  • Yujuan Wang
Part of the Communications and Control Engineering book series (CCE)


In Chap. 6, we have addressed the finite-time leaderless consensus control problem for networked multi-agent systems with first-order uncertain dynamics. In this chapter, we investigate the distributed adaptive finite-time consensus control for cooperative multi-agent systems with second-order dynamics where the unknown time-varying effectiveness gain and non-parametric uncertainties are involved.


  1. 1.
    Bhat, S.P., Bernstein, D.S.: Continuous finite-time stabilization of the translational and rotational double integrators. IEEE Trans. Autom. Control 43(5), 678–682 (1998)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Qian, C., Lin, W.: Non-Lipschitz continuous stabilizer for nonlinear systems with uncontrollable unstable linearization. Syst. Control Lett. 42(3), 185–200 (2001)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Hardy, G., Littlewood, J., Polya, G.: Inequalities. Cambridge University Press, Cambridge (1952)zbMATHGoogle Scholar
  4. 4.
    Wang, Y.J., Song, Y.D., Krstic, M., Wen, C.Y.: Fault-tolerant finite time consensus for multiple uncertain nonlinear mechanical systems under single-way directed communication interactions and actuation failures. Automatica 63, 374–383 (2016)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Olfati-Saber, R., Murray, R.: Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Autom. Control 49(9), 1520–1533 (2004)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Polycarpout, M.M., Ioannout, P.A.: A robust adaptive nonllinear control design. In: American Control Conference, pp. 1365–1369 (1993)Google Scholar
  7. 7.
    Bhat, S.P., Bernstein, D.S.: Finite-time stability of continuous autonomous systems. SIAM J. Control Optim. 38(3), 751–766 (2000)MathSciNetCrossRefGoogle Scholar
  8. 8.
    Almeida, J., Silvestre, C., Pascoal, A.M.: Cooperative control of multiple surface vessels with discrete-time periodic communications. Int. J. Robust Nonlinear Control 22(4), 398–419 (2012)MathSciNetCrossRefGoogle Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.School of AutomationChongqing UniversityChongqingChina

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