Distributed output tracking of multi-agent systems with stochastic nonlinear dynamics and multiple leaders

The distributed output tracking problem is studied for multi-agent systems with stochastic nonlinear dynamics and multiple leaders. For the case where the graph topology is directed and the leaders set is the neighbor of only a small portion of followers, distributed tracking controllers are designed to ensure that all the states of the closed-loop system remain bounded in probability. Also, it can be proved that the followers' outputs will exponentially converge to the convex hull spanned by the dynamic leaders' outputs with tunable tracking errors. The efficiency of the tracking controllers is demonstrated by a simulation example.

[1]  Jiangping Hu,et al.  Leader-following coordination of multi-agent systems with coupling time delays , 2007, 0705.0401.

[2]  Daizhan Cheng,et al.  Leader-following consensus of second-order agents with multiple time-varying delays , 2010, Autom..

[3]  Jiangping Hu,et al.  Distributed tracking control of leader-follower multi-agent systems under noisy measurement , 2011, Autom..

[4]  P. Florchinger A universal formula for the stabilization of control stochastic differential equations , 1993 .

[5]  Lihua Xie,et al.  Containment control of leader-following multi-agent systems with Markovian switching network topologies and measurement noises , 2015, Autom..

[6]  T. Basar,et al.  Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[7]  Reza Olfati-Saber,et al.  Flocking for multi-agent dynamic systems: algorithms and theory , 2006, IEEE Transactions on Automatic Control.

[8]  Guangfu Ma,et al.  Distributed containment control for Lagrangian networks with parametric uncertainties under a directed graph , 2012, Autom..

[9]  Tao Li,et al.  Consensus control for leader-following multi-agent systems with measurement noises , 2010, J. Syst. Sci. Complex..

[10]  Wei Lin,et al.  Homogeneous observers, iterative design, and global stabilization of high-order nonlinear systems by smooth output feedback , 2004, IEEE Trans. Autom. Control..

[11]  Magnus Egerstedt,et al.  Distributed containment control with multiple stationary or dynamic leaders in fixed and switching directed networks , 2012, Autom..

[12]  Guangming Xie,et al.  Necessary and sufficient conditions for containment control of networked multi-agent systems , 2012, Autom..

[13]  M. Krstić,et al.  Stochastic nonlinear stabilization—I: a backstepping design , 1997 .

[14]  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.

[15]  Yiguang Hong,et al.  Target containment control of multi-agent systems with random switching interconnection topologies , 2012, Autom..

[16]  Xuerong Mao,et al.  Stochastic Differential Equations With Markovian Switching , 2006 .

[17]  Vijay Kumar,et al.  Trajectory design for formations of robots by kinetic energy shaping , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[18]  P. Olver Nonlinear Systems , 2013 .

[19]  Wuquan Li,et al.  Output Tracking of Stochastic High-Order Nonlinear Systems with Markovian Switching , 2013, IEEE Transactions on Automatic Control.

[20]  P. Florchinger Lyapunov-Like Techniques for Stochastic Stability , 1995 .

[21]  Jonathan H. Manton,et al.  Coordination and Consensus of Networked Agents with Noisy Measurements: Stochastic Algorithms and Asymptotic Behavior , 2009, SIAM J. Control. Optim..

[22]  Mengyin Fu,et al.  Consensus of Multi-Agent Systems With General Linear and Lipschitz Nonlinear Dynamics Using Distributed Adaptive Protocols , 2011, IEEE Transactions on Automatic Control.

[23]  Yuanqing Xia,et al.  On designing of sliding-mode control for stochastic jump systems , 2006, IEEE Transactions on Automatic Control.

[24]  Zhong-Ping Jiang,et al.  Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems , 2007, Autom..