Abstract
This paper addresses cooperative global robust output regulation for heterogeneous and uncertain multiagent nonlinear systems in the output-feedback normal form. Specifically, we develop a Lyapunov-based dynamic output-feedback law using a nonlinear internal model approach. We show that an effective control law can be constructed under general (static) directed communication topologies even when the leader is unknown. Hence, the present study offers a more general investigation of the problem in comparison with the developments in the recent literature.
Similar content being viewed by others
References
Jadbabaie A, Lin J, Morse A S. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans Automat Contr, 2003, 48: 988–1001
Hong Y G, Chen G R, Bushnell L. Distributed observers design for leader-following control of multi-agent networks. Automatica, 2008, 44: 846–850
Cao Y C, Ren W. Distributed coordinated tracking with reduced interaction via a variable structure approach. IEEE Trans Automat Contr, 2012, 57: 33–48
Yang T, Saberi A, Stoorvogel A A, et al. Output synchronization for heterogeneous networks of introspective right-invertible agents. Int J Robust Nonlin Control, 2014, 24: 1821–1844
Shi L R, Zhao Z Y, Lin Z L. Robust semi-global leader-following practical consensus of a group of linear systems with imperfect actuators. Sci China Inf Sci, 2017, 60: 072201
Liu T, Huang J. An output-based distributed observer and its application to the cooperative linear output regulation problem. Control Theor Technol, 2019, 17: 62–72
Zhang Y, Su Y F. Cooperative output regulation for linear uncertain MIMO multi-agent systems by output feedback. Sci China Inf Sci, 2018, 61: 092206
Su Y F, Huang J. Cooperative semi-global robust output regulation for a class of nonlinear uncertain multi-agent systems. Automatica, 2014, 50: 1053–1065
Dong Y, Huang J. Cooperative global output regulation for a class of nonlinear multi-agent systems. IEEE Trans Automat Contr, 2014, 59: 1348–1354
Liu W, Huang J. Adaptive leader-following rendezvous and flocking for a class of uncertain second-order nonlinear multi-agent systems. Control Theor Technol, 2017, 15: 354–363
Wang F Y, Liu Z X, Chen Z Q. Leader-following consensus of second-order nonlinear multi-agent systems with intermittent position measurements. Sci China Inf Sci, 2019, 62: 202204
Xiao W B, Cao L, Li H Y, et al. Observer-based adaptive consensus control for nonlinear multi-agent systems with time-delay. Sci China Inf Sci, 2020, 63: 132202
Liu T F, Jiang Z P. Distributed output-feedback control of nonlinear multi-agent systems. IEEE Trans Automat Contr, 2013, 58: 2912–2917
Wang X L, Hong Y G, Huang J, et al. A distributed control approach to a robust output regulation problem for multi-agent linear systems. IEEE Trans Automat Contr, 2010, 55: 2891–2895
Su Y F, Huang J. Cooperative output regulation of linear multi-agent systems. IEEE Trans Automat Contr, 2012, 57: 1062–1066
Isidori A, Marconi L, Casadei G. Robust output synchronization of a network of heterogeneous nonlinear agents via nonlinear regulation theory. IEEE Trans Automat Contr, 2014, 59: 2680–2691
Lu M B, Huang J. Cooperative global robust output regulation for a class of nonlinear multi-agent systems with a nonlinear leader. IEEE Trans Automat Contr, 2016, 61: 3557–3562
Su Y F, Huang J. Cooperative adaptive output regulation for a class of nonlinear uncertain multi-agent systems with unknown leader. Syst Control Lett, 2013, 62: 461–467
Ding Z T, Li Z K. Distributed adaptive consensus control of nonlinear output-feedback systems on directed graphs. Automatica, 2016, 72: 46–52
Wang X H, Su Y F, Xu D B. A nonlinear internal model design for heterogeneous second-order multi-agent systems with unknown leader. Automatica, 2018, 91: 27–35
Sontag E D. Input to state stability: basic concepts and results. In: Nonlinear and Optimal Control Theory. Berlin: Springer, 2007. 163–220
Jiang Z P, Mareels I, Hill D J, et al. A unifying framework for global regulation via nonlinear output feedback: from ISS to iISS. IEEE Trans Automat Contr, 2004, 49: 549–562
Xu D B, Wang X H, Chen Z Y. Output regulation of nonlinear output feedback systems with exponential parameter convergence. Syst Control Lett, 2016, 88: 81–90
Krstic M, Kanellakopoulos I, Kokotovic P V. Nonlinear and Adaptive Control Design. New York: Wiley, 1995
Marino R, Tomei P. Global adaptive output-feedback control of nonlinear systems. I. Linear parameterization. IEEE Trans Automat Contr, 1993, 38: 17–32
Marino R, Tomei P. Nonlinear Control Design: Geometric, Adaptive and Robust. London: Prentice Hall, 1995
Besançon G. Global output feedback tracking control for a class of Lagrangian systems. Automatica, 2000, 36: 1915–1921
Godsil C, Royle G. Algebraic Graph Theory. New York: Springer-Verlag, 2001
Berman A, Plemmons R J. Nonnegative Matrices in the Mathematical Sciences. New York: Academic Press Inc., 1979
Huang J. Remarks on robust output regulation problem for nonlinear systems. IEEE Trans Autom Control, 2001, 46: 2028–2031
Jiang Z P. Global output feedback control with disturbance attenuation for minimum-phase nonlinear systems. Syst Control Lett, 2000, 39: 155–164
Huang J. Nonlinear Output Regulation: Theory and Applications. Philadelphia: SIAM, 2004
Byrnes C I, Priscoli F D, Isidori A. Output Regulation of Uncertain Nonlinear Systems. New York: Springer Science & Business Media, 1997
Xu D B. Constructive nonlinear internal models for global robust output regulation and application. IEEE Trans Automat Contr, 2018, 63: 1523–1530
Wang X H, Xu D B, Ji H B. Robust almost output consensus in networks of nonlinear agents with external disturbances. Automatica, 2016, 70: 303–311
Khalil H K. Nonlinear Systems. 3rd ed. Upper Saddle River: Prentice Hall, 2002
Wu Y Q, Yu J B, Zhao Y. Further results on global asymptotic regulation control for a class of nonlinear systems with iISS inverse dynamics. IEEE Trans Automat Contr, 2011, 56: 941–946
Wang X H, Su Y F, Xu D B. Cooperative robust output regulation of linear uncertain multiple multivariable systems with performance constraint. Automatica, 2018, 95: 137–145
Francis B A, Wonham W M. The internal model principle of control theory. Automatica, 1976, 12: 457–465
Hong J, Bernstein D S. Adaptive stabilization of non-linear oscillators using direct adaptive control. Int J Control, 2001, 74: 432–444
Li W Q, Yao X X, Krstic M. Adaptive-gain observer-based stabilization of stochastic strict-feedback systems with sensor uncertainty. Automatica, 2020, 120: 109112
Acknowledgements
This work was supported in part by National Natural Science Foundation of China (Grant Nos. 61673216, 61773122, 61873250, 62073168) and USTC Research Funds of the Double First-Class Initiative (Grand No. YD2100002002).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, X., Su, Y. & Xu, D. Nonlinear output-feedback tracking in multiagent systems with an unknown leader and directed communication. Sci. China Inf. Sci. 64, 222202 (2021). https://doi.org/10.1007/s11432-020-3108-6
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11432-020-3108-6