Min-max optimal control of linear systems with uncertainty and terminal state constraints

Automatica

Volumn 49, Issue 6, 2013, Pages 1809-1815

  Wu, Changzhi ^a   Teo, Kok Lay ^b   Wu, Soonyi ^c  

^a UNIVERSITY OF BALLARAT   (Australia)

^b CURTIN UNIVERSITY   (Australia)

^c NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Min max optimal control; Semi definite programming; Terminal state constraints

Indexed keywords

CONTINUOUS DYNAMICAL SYSTEM; EQUIVALENT-LINEAR; MIN-MAX; OPTIMAL CONTROL PROBLEM; OPTIMAL CONTROLS; SEMI-DEFINITE PROGRAMMING; TERMINAL CONSTRAINT; TERMINAL STATE;

DYNAMICAL SYSTEMS; LINEAR MATRIX INEQUALITIES; LINEAR SYSTEMS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION;

CONTROL;

EID: 84877576245     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2013.02.052     Document Type: Article

References (22)

1. Baillieul, J.; Wong, W.S. (2009). The standard parts problem and the complexity of control communication. In Proceeding of 48th IEEE CDC.
2. T. Basar Optimum performance levels for minimax filters, predictors and smoothers Systems & Control Letters 16 1991 309 317
3. H-optimal control and related minimax design problems 1991 Birkhauser New Jersey
4. A. Bemporad, F. Borrelli, and M. Morari Min-max control of constrained uncertain discrete-time linear systems IEEE Transactions on Automatic Control 48 2003 1600 1606
5. D. Bertsimas, and D.B. Brown Constrained stochastic LQC: a tractable approach IEEE Transactions on Automatic Control 52 2007 1826 1841
6. Boyd, S.; Vandenberghe, L. (2004). Convex optimization. http://www.stanford.edu/~boyd/cvxbook/.
7. F.L. Chernousko Minimax control for a class of linear systems subject to disturbances Journal of Optimization Theory and Applications 127 2005 535 548
8. M. Diehl, and J. Bjornberg Robust dynamic programming for min-max model predictive control of constrained uncertain systems IEEE Transactions on Automatic Control 49 12 2004 2253 2257
9. Y. Gao, O. Kostyukova, and K.T. Chong Worst-case optimal control for an electrical drive system with time-delay Asian Journal of Control 11 2009 386 395
10. l 2 gain IEEE Transactions on Automatic Control 54 5 2009 1105 1111
11. K.B. Kim Distrubance attenuation for constrained discrete-time systems via receding horizon control IEEE Transactions on Automatic Control 49 5 2004 797 801
12. K.B. Kim Design of receding horizon controls for constrained time-varying systems IEEE Transactions on Automatic Control 49 12 2004 2248 2252
13. O. Kostyukova, and E. Kostina Robust optimal feedback for terminal linear-quadratic control problems under disturbances Mathematical Programming 107 2006 131 153
14. A.J. Kurdila, and M. Zabarankin Convex functional analysis 2005 Birkhauser Verlag Basel, Switzerland
15. Löberg, J. (2004). YALMIP: a toolbox for modeling and optimization in Matlab. In Proc. int. symp. CACSD (pp. 284-289). Taipei, Taiwan.
16. D.Q. Mayne, and W.R. Eschroeder Robust time-optimal control of constrained linear systems Automatica 33 1997 2103 2118
17. P.O.M. Scokaert, and D.Q. Mayne Min-max feedback model predictive control for constrained linear systems IEEE Transactions on Automatic Control 43 1998 1136 1142
18. P.O.M. Scokaert, D.Q. Mayne, and J.B. Rawlings Suboptimal model predictive control (feasibility implies stability) IEEE Transactions on Automatic Control 44 3 1999 648 654
19. J.F. Sturm Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones Optimization Methods & Software 12 1999 625 633
20. K.L. Teo, C.J. Goh, and K.H. Wong A unified computational approach to optimal control problem 1991 Longman Scientific & Technical
21. R.B. Vinter Minimax optimal control SIAM Journal on Control and Optimization 44 2005 939 968
22. M.G. Yoon, V.A. Ugrinovskii, and I.R. Pertersen On the worst-case disturbance of minimax optimal control Automatica 41 2005 847 855