References
Sussmann H J, Sontag E D, Yang Y. A general result on the stabilization of linear systems using bounded controls. IEEE Trans Autom Control, 1994, 39: 2411–2425
Fuller A T. In-the-large stability of relay and saturating control systems with linear controllers. Int J Control, 1969, 10: 457–480
Sussmann H J, Yang Y. On the stabilizability of multiple integrators by means of bounded feedback controls. In: Proceedings of the 30th IEEE Conference on Decision and Control, 1991. 70–72
Yang Y. Global stabilization of linear systems with bounded feedback. Dissertation for Ph.D. Degree. New Brunswick: Rutgers, The State University of New Jersey, 1993
Teel A R. Global stabilization and restricted tracking for multiple integrators with bounded controls. Syst Control Lett, 1992, 18: 165–171
Lin Z L. Low Gain Feedback. Berlin: Springer, 1999
Lin Z L. Global control of linear systems with saturating actuators. Automatica, 1998, 34: 897–905
Lin Z L, Pachter M, Banda S. Toward improvement of tracking performance nonlinear feedback for linear systems. Int J Control, 1998, 70: 1–11
Hu T S, Lin Z L. Control Systems with Actuator Saturation: Analysis and Design. Boston: Birkhäuser, 2001
Li Y L, Lin Z L. Stability and Performance of Control Systems with Actuator Saturation. Boston: Birkhäuser, 2018
Abdessameud A, Tayebi A. On consensus algorithms for double-integrator dynamics without velocity measurements and with input constraints. Syst Control Lett, 2010, 59: 812–821
Fu J J, Wang J Z. Fixed-time coordinated tracking for second-order multi-agent systems with bounded input uncertainties. Syst Control Lett, 2016, 93: 1–12
Fu J, Wen G, Yu W, et al. Finite-time consensus for second-order multi-agent systems with input saturation. IEEE Trans Circ Syst II Express Briefs, 2018, 65: 1758–1762
Wei W, Xiang J, Li Y. Consensus problems for linear time-invariant multi-agent systems with saturation constraints. IET Control Theory Appl, 2011, 5: 823–829
Meng Z Y, Zhao Z Y, Lin Z L. On global leaderfollowing consensus of identical linear dynamic systems subject to actuator saturation. Syst Control Lett, 2013, 62: 132–142
Ren W. On consensus algorithms for double-integrator dynamics. IEEE Trans Autom Control, 2008, 53: 1503–1509
Xie Y J, Lin Z L. Global optimal consensus for multiagent systems with bounded controls. Syst Control Lett, 2017, 102: 104–111
Zhao Z Y, Lin Z L. Global leader-following consensus of a group of general linear systems using bounded controls. Automatica, 2016, 68: 294–304
Zhao Z Y, Lin Z L. Discrete-time global leaderfollowing consensus of a group of general linear systems using bounded controls. Inter J Robust Nonlinear Control, 2017, 27: 3433–3465
Chu H J, Yi B W, Zhang G Q, et al. Performance improvement of consensus tracking for linear multiagent systems with input saturation: a gain scheduled approach. IEEE Trans Syst Man Cybern Syst, 2017. doi: 10.1109/TSMC.2017.2698210
Chu H, Zhang W. Adaptive consensus tracking for linear multi-agent systems with input saturation. Trans Inst Meas Control, 2016, 38: 1434–1441
Fan M C, Zhang H T, Lin Z L. Distributed semiglobal consensus with relative output feedback and input saturation under directed switching networks. IEEE Trans Circ Syst II, 2015, 62: 796–800
Wang X L, Wang X F. Semi-global consensus of multiagent systems with intermittent communications and low-gain feedback. IET Control Theory Appl, 2015, 9: 766–774
Shi L R, Li Y L, Lin Z L. Semi-global leader-following output consensus of heterogeneous multi-agent systems with input saturation. Int J Robust Nonlinear Control, 2018, 28: 4916–4930
Shi L R, Zhao Z Y, Lin Z L. Robust semi-global leaderfollowing practical consensus of a group of linear systems with imperfect actuators. Sci China Inf Sci, 2017, 60: 072201
Shi L R, Zhao Z Y, Lin Z L. Robust semi-global containment control of identical linear systems with imperfect actuators. In: Proceedings of the 56th IEEE Conference on Decision and Control, 2017. 4058–4063
Su H S, Chen M Z Q, Lam J, et al. Semi-global leaderfollowing consensus of linear multi-agent systems with input saturation via low gain feedback. IEEE Trans Circ Syst I, 2013, 60: 1881–1889
Su H S, Chen M Z Q, Chen G R. Robust semiglobal coordinated tracking of linear multi-agent systems with input saturation. Int J Robust Nonlinear Control, 2015, 25: 2375–2390
Wang Q L, Yu C B, Gao H J. Semiglobal synchronization of multiple generic linear agents with input saturation. Int J Robust Nonlinear Control, 2014, 24: 3239–3254
Wei A R, Hu X M, Wang Y Z. Consensus of linear multi-agent systems subject to actuator saturation. Int J Control Autom Syst, 2013, 11: 649–656
Yang T, Stoorvogel A A, Grip H F, et al. Semi-global regulation of output synchronization for heterogeneous networks of non-introspective, invertible agents subject to actuator saturation. Int J Robust Nonlinear Control, 2014, 24: 548–566
Zhao Z Y, Hong Y G, Lin Z L. Semi-global output consensus of a group of linear systems in the presence of external disturbances and actuator saturation: an output regulation approach. Int J Robust Nonlinear Control, 2016, 26: 1353–1375
Zhao Z Y, Lin Z L. Semi-global leader-following consensus of multiple linear systems with position and rate limited actuators. Int J Robust Nonlinear Control, 2015, 25: 2083–2100
Li Y L, Lin Z L. Regional leader-following consensus of multi-agent systems with saturating actuators. In: Proceedings of the 36th Chinese Control Conference, 2017. 8401–8406
Li Y L, Lin Z L. On the estimation of the domain of consensus for discrete-time multi-agent systems subject to actuator saturation. In: Proceedings of the 13th IEEE International Conference on Control and Automation, 2017. 203–208
Acknowledgements
This work was supported in part by US Army Research Office (Grant No. W911NF-17-1-0535).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lin, Z. Control design in the presence of actuator saturation: from individual systems to multi-agent systems. Sci. China Inf. Sci. 62, 26201 (2019). https://doi.org/10.1007/s11432-018-9698-x
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11432-018-9698-x