Distributed model predictive control of the multi-agent systems with improving control performance

This paper addresses a distributed model predictive control (DMPC) scheme for multiagent systems with improving control performance. In order to penalize the deviation of the computed state trajectory from the assumed state trajectory, the deviation punishment is involved in the local cost function of each agent. The closed-loop stability is guaranteed with a large weight for deviation punishment. However, this large weight leads to much loss of control performance. Hence, the time-varying compatibility constraints of each agent are designed to balance the closed-loop stability and the control performance, so that the closed-loop stability is achieved with a small weight for the deviation punishment. A numerical example is given to illustrate the effectiveness of the proposed scheme.

[1]  Yan Zhang,et al.  Nash-optimization enhanced distributed model predictive control applied to the Shell benchmark problem , 2005, Inf. Sci..

[2]  Jan M. Maciejowski,et al.  Predictive control : with constraints , 2002 .

[3]  William B. Dunbar,et al.  Distributed receding horizon control for multi-vehicle formation stabilization , 2006, Autom..

[4]  Francis J. Doyle,et al.  Distributed model predictive control of an experimental four-tank system , 2007 .

[5]  J. Primbs.  The analysis of optimization based controllers , 2001, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[6]  D. Jia,et al.  Min-max feedback model predictive control for distributed control with communication , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[7]  F. Allgöwer,et al.  A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability , 1997 .

[8]  Jonathan P. How,et al.  Distributed Robust Receding Horizon Control for Multivehicle Guidance , 2007, IEEE Transactions on Control Systems Technology.

[9]  Chen Gang,et al.  Distributed model predictive control for multi-agent systems with coupling constraints , 2010, Int. J. Model. Identif. Control..

[10]  Stephen J. Wright,et al.  Stability and optimality of distributed model predictive control , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[11]  ShaoYuan Li,et al.  Design and analysis of constrained nonlinear quadratic regulator. , 2003, ISA transactions.

[12]  Lihua Xie,et al.  Distributed model predictive control for constrained linear systems , 2009 .

[13]  Stephen J. Wright,et al.  Distributed Model Predictive Control of Large-Scale Systems , 2007 .

[14]  Baocang Ding,et al.  Distributed robust MPC for constrained systems with polytopic description , 2011 .

[15]  Francesco Borrelli,et al.  Decentralized receding horizon control for large scale dynamically decoupled systems , 2009, Autom..

[16]  Tor Arne Johansen,et al.  Approximate explicit receding horizon control of constrained nonlinear systems , 2004, Autom..

[17]  Eduardo Camponogara,et al.  Distributed model predictive control , 2002 .

[18]  William B. Dunbar.  Distributed receding horizon control of cost coupled systems , 2007, 2007 46th IEEE Conference on Decision and Control.

[19]  Francesco Borrelli,et al.  Hybrid Decentralized Control of Large Scale Systems , 2005, HSCC.

[20]  Baocang Ding,et al.  Distributed model predictive control for multiagent systems with improved consistency , 2010 .