Distributed model predictive control of dynamically decoupled systems with coupled cost

Automatica

Volumn 46, Issue 12, 2010, Pages 2053-2058

  Wang, Chen ^a,b   Ong, Chong Jin ^a,b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b SINGAPORE MIT ALLIANCE   (Singapore)

Author keywords

Distributed control; Model predictive control; Stability

Indexed keywords

ADDITIVE DISTURBANCE; CENTRALIZED MODELS; DECOUPLED SYSTEM; DISTRIBUTED CONTROL; DISTRIBUTED MODEL PREDICTIVE CONTROL; DISTURBANCE INVARIANT SET; NUMERICAL EXAMPLE;

ASYMPTOTIC STABILITY; DISTRIBUTED PARAMETER CONTROL SYSTEMS; PREDICTIVE CONTROL SYSTEMS;

MODEL PREDICTIVE CONTROL;

EID: 78249248361     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2010.09.002     Document Type: Article

References (21)

1. F. Borrelli, T. Keviczky, G.J. Balas, G. Stewart, K. Fregene, and D. Godbole Hybrid decentralized control of large scale systems Lecture Notes in Computer Science 3414 2005 168 183
2. H. Chen, and F. Allgwer Quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability Automatica 34 10 1998 1205 1217
3. L. Chisci, J.A. Rossiter, and G. Zappa Systems with persistent disturbances: predictive control with restricted constraints Automatica 37 7 2001 1019 1028
4. W.B. Dunbar, and R.M. Murray Distributed receding horizon control for multi-vehicle formation stabilization Automatica 42 4 2006 549 558
5. E. Franco, L. Magni, T. Parisini, M.M. Polycarpou, and D.M. Raimondo Cooperative constrained control of distributed agents with nonlinear dynamics and delayed information exchange: a stabilizing receding-horizon approach IEEE Transactions on Automatic Control 53 1 2008 324 338
6. P.J. Goulart, E.C. Kerrigan, and J.M. Maciejowski Optimization over state feedback policies for robust control with constraints Automatica 42 4 2006 523 533
7. Jia, D., & Krogh, B. H. (2001). Distributed model predictive control. In Proceedings of the 2001 American control conference (pp. 27672772) Arlington, VA, USA.
8. Z. Jiang, and Y. Wang Input-to-state stability for discrete-time nonlinear systems Automatica 37 6 2001 857 869
9. T. Keviczky, F. Borrelli, and G.J. Balas Decentralized receding horizon control for large scale dynamically decoupled systems Automatica 42 12 2006 2105 2115
10. I.V. Kolmanovsky, and E.G. Gilbert Theory and computation of disturbance invariant sets for discrete-time linear systems Mathematical Problems in Engineering 4 4 1998 317 367
11. M.V. Kothare, V. Balakrishnan, and M. Morari Robust constrained model predictive control using linear matrix inequalities Automatica 32 10 1996 1361 1379
12. Lfberg, J. (2003). Approximations of closed-loop minimax MPC. In Proceedings of the 42nd IEEE conference on decision and control (pp. 14381442) Maui, Hawaii, USA.
13. L. Magni, and R. Scattolini Stabilizing decentralized model predictive control of nonlinear systems Automatica 42 7 2006 1231 1236
14. D.Q. Mayne, J.B. Rawlings, C.V. Rao, and P.O.M. Scokaert Constrained model predictive control: stability and optimality Automatica 36 6 2000 789 814
15. C.-J. Ong, and E.G. Gilbert The minimal disturbance invariant set: outer approximations via its partial sums Automatica 42 9 2006 1563 1568
16. C.-J. Ong, D. Sui, and E.G. Gilbert Enlarging the terminal region of nonlinear model predictive control using the support vector machine method Automatica 42 6 2006 1011 1016
17. D.M. Raimondo, L. Magni, and R. Scattolini Decentralized MPC of nonlinear systems: an input-to-state stability approach International Journal of Robust and Nonlinear Control 17 17 2007 1651 1667
18. Richards, A. G., & How, J. (2004). A decentralized algorithm for robust constrained model predictive control. In Proceedings of the 2004 American control conference (pp. 42614266) Boston, Massachusetts, USA.
19. E.D. Sontag Further facts about input to state stabilization IEEE Transactions on Automatic Control 35 4 1990 473 476
20. Venkat, A. N., Rawlings, J. B., & Wright, S. J. (2005). Stability and optimality of distributed model predictive control. In Proceedings of the 44th IEEE conference on decision and control (pp. 66806685) Seville, Spain.
21. C. Wang, C.-J. Ong, and M. Sim Convergence properties of constrained linear system under MPC control law using affine disturbance feedback Automatica 45 7 2009 1715 1720