POST-OPTIMALITY ANALYSIS OF STEADY-STATE LINEAR TARGET CALCULATION IN MODEL PREDICTIVE CONTROL
作者： Abdallah A. Al-Shammari , Fraser J. Forbes
DOI: 10.3182/20070606-3-MX-2915.00007
关键词:
摘要: Abstract Model predictive control (MPC) is an advanced process strategy that usually separated into two levels; steady-state target calculation and dynamic optimization. The existence of uncertainty in model parameters can significantally affect the overall performance controller. Methods have been proposed to deal with using robust In this study, a new approach post-optimality analysis study effect or variation on optimal solution linear calculation. This compute stability limits, for simultaneous objective function coefficients limitations, before basis are changed.
sci-hub.se 参考文章(15)
B. L. Ramaker, C. R. Cutler, Dynamic matrix control¿A computer control algorithm IEEE Transactions on Automatic Control. ,vol. 17, pp. 72- ,(1980) , 10.1109/JACC.1980.4232009
T. Gal, Linear parametric programming—A brief survey Sensitivity, Stability and Parametric Analysis. pp. 43- 68 ,(1984) , 10.1007/BFB0121210
Frank R. Wondolowski, A Generalization of Wendell's Tolerance Approach to Sensitivity Analysis in Linear Programming Decision Sciences. ,vol. 22, pp. 792- 811 ,(1991) , 10.1111/J.1540-5915.1991.TB00365.X
D.Q. Mayne, J.B. Rawlings, C.V. Rao, P.O.M. Scokaert, Survey Constrained model predictive control: Stability and optimality Automatica. ,vol. 36, pp. 789- 814 ,(2000) , 10.1016/S0005-1098(99)00214-9
Richard E. Wendell, Using bounds on the data in linear programming: the tolerance approach to sensitivity analysis Mathematical Programming. ,vol. 29, pp. 304- 322 ,(1984) , 10.1007/BF02591999
Yu.N. Sotskov, V.K. Leontev, E.N. Gordeev, Some concepts of stability analysis in combinatorial optimization Discrete Applied Mathematics. ,vol. 58, pp. 169- 190 ,(1995) , 10.1016/0166-218X(93)E0126-J
Manfred Morari, Jay H Lee, None, Model predictive control: past, present and future Computers & Chemical Engineering. ,vol. 23, pp. 667- 682 ,(1999) , 10.1016/S0098-1354(98)00301-9
L. N. Kozeratskaya, T. T. Lebedeva, I. V. Sergienko, Stability, parametric, and postoptimality analysis of discrete optimization problems Cybernetics and Systems Analysis. ,vol. 19, pp. 522- 535 ,(1984) , 10.1007/BF01068340
Yiyang Jenny Wang, James B. Rawlings, A new robust model predictive control method. II: examples Journal of Process Control. ,vol. 14, pp. 249- 262 ,(2004) , 10.1016/S0959-1524(02)00132-4
Nikolaos V. Sahinidis, Optimization under uncertainty: state-of-the-art and opportunities Computers & Chemical Engineering. ,vol. 28, pp. 971- 983 ,(2004) , 10.1016/J.COMPCHEMENG.2003.09.017