Semi-global containment control of discrete-time linear systems with actuator position and rate saturation

Abstract In this paper, we study semi-global containment control problem for a multi-agent system in the presence of multiple leader agents. We describe the dynamics of each follower agent in multi-agent system by a general discrete-time linear system subject to both actuator position and rate saturation. By using low gain approach, we construct both a linear state feedback control law and an observer-based output feedback control law for each follower agent. Under some standard assumptions, we provide a sufficient condition to guarantee that the states of follower agents converge to the convex hull formed by the leader agents asymptotically. Finally, we illustrate the theoretical results by numerical simulation results.

[1]  Xinghu Wang,et al.  Adaptive multi-agent containment control with multiple parametric uncertain leaders , 2014, Autom..

[2]  Qing Zhang,et al.  Containment control of multi-agent systems with fixed time-delays in fixed directed networks , 2016, Neurocomputing.

[3]  Zongli Lin,et al.  Low gain feedback , 1999 .

[4]  Giancarlo Ferrari-Trecate,et al.  Containment Control in Mobile Networks , 2008, IEEE Transactions on Automatic Control.

[5]  Qian Ma,et al.  Distributed containment control of linear multi-agent systems , 2014, Neurocomputing.

[6]  Housheng Su,et al.  Multi-agent containment control with input saturation on switching topologies , 2015 .

[7]  Zhe Yang,et al.  Containment control of discrete-time general linear multi-agent systems under dynamic digraph based on trajectory analysis , 2016, Neurocomputing.

[8]  Chao Yang,et al.  Nodes selection strategy in cooperative tracking problem , 2016, Autom..

[9]  Ziyang Meng,et al.  Distributed finite-time attitude containment control for multiple rigid bodies , 2010, Autom..

[10]  Wei Ren,et al.  Distributed leaderless consensus algorithms for networked Euler–Lagrange systems , 2009, Int. J. Control.

[11]  Zongli Lin,et al.  Semi‐global leader‐following consensus of multiple linear systems with position and rate limited actuators , 2015 .

[12]  Shengyuan Xu,et al.  Distributed Containment Control with Multiple Dynamic Leaders for Double-Integrator Dynamics Using Only Position Measurements , 2012, IEEE Transactions on Automatic Control.

[13]  Young-Hun Lim,et al.  Decentralized control of nonlinear interconnected systems under both amplitude and rate saturations , 2013, Autom..

[14]  Hongtao Zhou,et al.  Semi‐global leader‐following consensus of discrete‐time linear multi‐agent systems subject to actuator position and rate saturation , 2017 .

[15]  Fuad E. Alsaadi,et al.  Event-triggered H∞ state estimation for state-saturated complex networks subject to quantization effects and distributed delays , 2018, J. Frankl. Inst..

[16]  Hongyong Yang,et al.  Containment control of leader-following multi-agent systems with jointly-connected topologies and time-varying delays , 2017, Neurocomputing.

[17]  Ying Zheng,et al.  Containment for linear multi-agent systems with exogenous disturbances , 2015, Neurocomputing.

[18]  Ali Saberi,et al.  Output regulation of linear plants with actuators subject to amplitude and rate constraints , 1999 .

[19]  Mengyin Fu,et al.  Distributed containment control of multi‐agent systems with general linear dynamics in the presence of multiple leaders , 2013 .

[20]  Zengqiang Chen,et al.  Distributed containment control for bounded unknown second-order nonlinear multi-agent systems with dynamic leaders , 2015, Neurocomputing.

[21]  Richard M. Murray,et al.  Consensus problems in networks of agents with switching topology and time-delays , 2004, IEEE Transactions on Automatic Control.

[22]  Ming Wang,et al.  Containment control of multi-agent systems in a noisy communication environment , 2014, Autom..

[23]  Gang Feng,et al.  Containment control of linear multi‐agent systems with multiple leaders of bounded inputs using distributed continuous controllers , 2015 .

[24]  Frank L. Lewis,et al.  Adaptive output containment control of heterogeneous multi-agent systems with unknown leaders , 2018, Autom..

[25]  Zongli Lin,et al.  Semi-global stabilization of discrete-time linear systems with position and rate-limited actuators , 1998 .

[26]  Guangming Xie,et al.  Finite-time containment control of multi-agent systems with static or dynamic leaders , 2017, Neurocomputing.