Open-loop and closed-loop robust optimal control of batch processes using distributional and worst-case analysis

Rippin, 1983, Simulation of single- and multiproduct batch chemical plants for optimal design and operation, Comput. Chem. Eng., 7, 137, 10.1016/0098-1354(83)85016-9 Terwiesc, 1994, Batch unit optimization with imperfect modeling: a survey, J. Process Control, 4, 238, 10.1016/0959-1524(94)80045-6 Srinivasan, 2002, Dynamic optimization of batch processes II. Role of measurements in handling uncertainty, Comput. Chem. Eng., 27, 27, 10.1016/S0098-1354(02)00117-5 Rahman, 1996, On-line optimization of batch processes in the presence of measurable disturbances, AIChE J., 42, 2869, 10.1002/aic.690421016 Bhatia, 1997, Dynamic optimization for batch design and scheduling with process model uncertainty, Ind. Eng. Chem. Res., 36, 3708, 10.1021/ie960752v Alamir, 1999, Robust constrained control algorithm for general batch processes, Int. J. Control, 72, 1271, 10.1080/002071799220254 Ma, 1999, Worst-case performance analysis of optimal batch control trajectories, AIChE J., 45, 1469, 10.1002/aic.690450710 Ma, 2001, Worst-case analysis of finite-time control policies, IEEE Trans. Control Syst. Technol., 9, 766, 10.1109/87.944471 Rustem, 1994, Stochastic and robust control of nonlinear economic systems, Eur. J. Oper. Res., 73, 304, 10.1016/0377-2217(94)90267-4 Ruppen, 1995, Optimization of batch reactor operation under parametric uncertainty – computational aspects, J. Process Control, 5, 235, 10.1016/0959-1524(95)00015-I Darlington, 2000, Decreasing the sensitivity of open-loop optimal solutions in decision making under uncertainty, Eur. J. Oper. Res., 121, 343, 10.1016/S0377-2217(99)00034-X J. Valappil, C. Georgakis, State estimation and nonlinear model predictive control of end-use properties in batch reactors, in: Proceedings of the American Control Conference, IEEE Press, Piscataway, NJ, 2001, pp. 999–1004 Valappil, 2002, Nonlinear model predictive control of end-use properties in batch reactors, AIChE J., 48, 2006, 10.1002/aic.690480915 Mohideen, 1997, Robust stability considerations in optimal design of dynamic systems under uncertainty, J. Process Control, 7, 371, 10.1016/S0959-1524(97)00014-0 Visser, 2000, A feedback-based implementation scheme for batch process optimization, J. Process Control, 10, 399, 10.1016/S0959-1524(00)00015-9 Terwiesc, 1996, Robust end-point optimizing feedback for nonlinear dynamic processes, Int. J. Control, 65, 995, 10.1080/00207179608921734 Krothapally, 1998, Sliding mode control of I/O linearizable systems with uncertainty, ISA Trans., 37, 313, 10.1016/S0019-0578(98)00033-0 Palanki, 1993, Synthesis of state feedback laws for end-point optimization in batch processes, Chem. Eng. Sci., 48, 135, 10.1016/0009-2509(93)80290-7 Noda, 2000, On-line optimization system of pilot scale multi-effect batch distillation system, Comput. Chem. Eng., 24, 1577, 10.1016/S0098-1354(00)00554-8 Soroush, 1998, State and parameter estimations and their applications in process control, Comput. Chem. Eng., 23, 229, 10.1016/S0098-1354(98)00263-4 Valliere, 1989, Application of estimation techniques to batch reactors-II. Experimental studies in state and parameter estimation, Comput. Chem. Eng., 13, 11, 10.1016/0098-1354(89)89003-9 Ruppen, 1998, Implementation of adaptive optimal operation for a semi-batch reaction system, Comput. Chem. Eng., 22, 185, 10.1016/S0098-1354(96)00358-4 Eaton, 1990, Feedback control of nonlinear process using on-line optimization techniques, Comput. Chem. Eng., 14, 913, 10.1016/0098-1354(90)87021-G Z.K. Nagy, R.D. Braatz, Distributional robustness analysis of a batch crystallization process, in: The 6th World Multiconference on Systemics, Cybernetics and Informatics, Orlando, USA, 2002, pp. 187–192 Tatang, 1997, An efficient method for parametric uncertainty analysis of numerical geophysical models, J. Geophys. Res., 12, 21932 D.L. Ma, R.D. Braatz, Robust batch control of crystallization processes, in: Proceedings of the American Control Conference, IEEE Press, Piscataway, NJ, 2000, pp. 1737–1741 S.M. Miller, Modelling and Quality Control Strategies for Batch Cooling Crystallizers, Ph.D. thesis, University of Texas at Austin, 1993 Braatz, 1994, Computational complexity of μ calculation, IEEE Trans. Autom. Control, 39, 1000, 10.1109/9.284879 Ferreres, 1997, Computation of the robustness margin with the skewed μ tool, Syst. Control Lett., 32, 193, 10.1016/S0167-6911(97)00075-3 Caracotsios, 1985, Sensitivity analysis of initial value problems with mixed ODEs and algebraic equations, Comput. Chem. Eng., 9, 359, 10.1016/0098-1354(85)85014-6 Ljung, 1987 Beck, 1977 R. Gunawan, E.L. Russell, R.D. Braatz, Robustness analysis of multivariable systems with time delays, in: Proceedings of the European Control Conf., Porto, Portugal, 2001, pp. 1882–1887 Biegler, 2000, Efficient solution of dynamic optimization and NMPC problems, 219 L.T. Biegler, J.B. Rawlings, Optimization approaches to nonlinear model predictive control, in: Y. Arkun, W.H. Ray (Eds.), Chemical Process Control––CPC IV, Fourth International Conference on Chemical Process Control, Elsevier, Amsterdam, 1991, pp. 543–571 Rawlings, 2000, Tutorial overview of model predictive control, IEEE Control Syst. Mag., 20, 38, 10.1109/37.845037 F. Allgöwer, T.A. Badgwell, J.S. Qin, J.B. Rawlings, S.J. Wright, Nonlinear predictive control and moving horizon estimation––an introductory overview, in: P.M. Frank (Ed.), Advances in Control, Highlights of ECC’99, Springer, 1999, pp. 391–449 Rawlings, 1993, Model identification and control of solution crystallization processes: A review, Ind. Eng. Chem. Res., 32, 1275, 10.1021/ie00019a002 Braatz, 2002, Advanced control of crystallization processes, Annual Reviews in Control, 26, 87, 10.1016/S1367-5788(02)80016-5