The model was compared with the continuum approach used in previous studies. Proc. Dynamic Programming and Optimal Control. Improved control rules are extracted from the DP-based control solution, forming near … ... Adaptive dynamic programming using measured output data. Conf. Professor Emeritus, University of Toronto - Cited by 5,469 - optimal control - nonlinear analysis - iterative dynamic programming IASTED Internat. Journal of Economic Dynamics and Control, 55, 57–70. The overall dynamic programming approach is stated in Alg. Their combined citations are counted only for the first article. 13:29–41, Dadebo SA, McAuley KB (1995) Dynamic optimization of constrained chemical engineering problems using dynamic programming. 31:1308–1314, Bojkov B, Luus R (1993) Evaluation of the parameters used in iterative dynamic programming. Conf., Toronto, Canada, October, 18-21, 1992, pp IASTED Internat. Google Scholar Georgia Institute of Technology - Cited by 327 - Optimal Control - Hybrid Systems - Stochastic Control - Nonlinear Control - Mean Field Games ... On the minimum principle and dynamic programming for hybrid systems with low dimensional switching manifolds. Belmont, Massachusetts: Athena Scientific. © 2020 Springer Nature Switzerland AG. Acikmese, B, Carson, JM, Blackmore, L. Lossless convexification of nonconvex control bound and pointing constraints of the soft landing optimal control problem. Hungarian J Ind Chem dynamic programming. IASTED Internat. Optimal Control Appl Meth The leading and most up-to-date textbook on the far-ranging algorithmic methododogy of Dynamic Programming, which can be used for optimal control, Markovian decision problems, planning and sequential decision making under uncertainty, and discrete/combinatorial optimization. 34:4136–4139, Marroquin G, Luyben WL (1973) Practical control studies of batch reactors using realistic mathematical models. (Vol. R Padhi, SN Balakrishnan. The ones marked * may be different from the article in the profile. IASTED Internat. This "Cited by" count includes citations to the following articles in Scholar. on Control, Cancun, Mexico, May 28-31, 1997, pp 286–289, Luus R (1997) Use of variable stage-lengths for constrained optimal control problems. Dynamic programming: principle of optimality, dynamic programming, discrete LQR (PDF - 1.0 MB) 4: HJB equation: differential pressure in continuous time, HJB equation, continuous LQR : 5: Calculus of variations. Data-Driven Optimal Tracking with Constrained Approximate Dynamic Programming for Servomotor Systems A Chakrabarty, C Danielson, Y Wang 2020 IEEE Conference on Control Technology and Applications (CCTA), 352-357 , 2020 Background. Dynamic programming for constrained optimal control of discrete-time linear hybrid systems F Borrelli, M Baotić, A Bemporad, M Morari Automatica 41 (10), 1709-1721 , 2005 An optimal control-based algorithm for hybrid electric vehicle using preview route information. 3964: This is a major revision of Vol. 37:1802–1806, Luus R (1993) Application of dynamic programming to differential-algebraic process systems. The following articles are merged in Scholar. An efficient, dynamic programming algorithm was used to determine the optimal bus-stop locations. 5818 – 5823. 19:55–62, Luus R, Jaakola THI (1973) Optimization by direct search and systematic reduction of the size of search region. Google Scholar. Dynamic programming and optimal control. 17 (1989), 523–543. Internat J Control Article Google Scholar II, 4th Edition: Approximate Dynamic Programming Dimitri P. Bertsekas Published June 2012. Luus R (1998) Direct approach to time optimal control by iterative dynamic programming. IEEE Trans Control Syst Technol 2013; 21: 2104 – 2113. FL Lewis, KG Vamvoudakis. The ones marked. 48:3864–3867, Christodoulos A. Floudas, Panos M. Pardalos, https://doi.org/10.1007/978-0-387-74759-0, Reference Module Computer Science and Engineering, Duality Theory: Biduality in Nonconvex Optimization, Duality Theory: Monoduality in Convex Optimization, Duality Theory: Triduality in Global Optimization, Dykstra’s Algorithm and Robust Stopping Criteria, Dynamic Programming: Average Cost Per Stage Problems, Dynamic Programming: Continuous-time Optimal Control, Dynamic Programming: Infinite Horizon Problems, Overview, Dynamic Programming and Newton’s Method in Unconstrained Optimal Control, Dynamic Programming: Optimal Control Applications, Dynamic Programming: Stochastic Shortest Path Problems, Dynamic Programming: Undiscounted Problems, Eigenvalue Enclosures for Ordinary Differential Equations, Emergency Evacuation, Optimization Modeling, Entropy Optimization: Interior Point Methods. 33:1486–1492, Bojkov B, Luus R (1995) Time optimal control of high dimensional systems by iterative dynamic programming. Not affiliated Athena Scientific, 1995. Dynamic Programming and Optimal Control, Vol. Chem. School of Computer and Information Engineering, Automation Science and Engineering, IEEE Transactions on 11 (3), 839 - 849, International Journal of Control 87 (5), 1000-1009, International Journal of Systems Science 45 (8), 1683-1693, Neural Computing and Applications, 531-538, Electrical Measurement & Instrumentation 2, 013, 2013 IEEE Symposium on Adaptive Dynamic Programming and Reinforcement …, Control and Decision Conference (CCDC), 2016 Chinese, 396-401, Intelligent Control and Information Processing (ICICIP), 2014 Fifth …, Intelligent Control and Information Processing (ICICIP), 2013 Fourth …, Journal of Henan Institute of Education (Natural Science Edition) 2, 023, Journal of Henan University (Natural Science) 4, 022, 2014 International Joint Conference on Neural Networks (IJCNN), 3815-3820, S LIU, Y LIU, H WANG, C QIN, G LIANG, B ZHAO, Journal of Hebei Normal University (Natural Science Edition) 1, 024, New articles related to this author's research, Assistant Professor, School of Aerospace Engineering, Georgia Institute of Technology, Missouri University of Science and Technology, Neural-Network-Based Constrained Optimal Control Scheme for Discrete-Time Switched Nonlinear System Using Dual Heuristic Programming, Online Adaptive Policy Learning Algorithm for H∞ State Feedback Control of Unknown Affine Nonlinear Discrete-Time Systems, Online optimal tracking control of continuous-time linear systems with unknown dynamics by using adaptive dynamic programming, Neural network-based online H∞ control for discrete-time affine nonlinear system using adaptive dynamic programming, Finite horizon optimal control of non-linear discrete-time switched systems using adaptive dynamic programming with ε-error bound, Optimal tracking control of a class of nonlinear discrete-time switched systems using adaptive dynamic programming, Model‐Free H∞ Control Design for Unknown Continuous‐Time Linear System Using Adaptive Dynamic Programming, Analyzing and Modeling for Shunt Current Electric Larceny of Electric Power Metering System [J], Adaptive optimal control for nonlinear discrete-time systems, 2013 IEEE Symposium on Adaptive Dynamic Programming and Reinforcement Learning (ADPRL), Adaptive learning solution of the nonzero-sum differential game with unknown dynamics using adaptive dynamic programming, Neural network-based near-optimal control for nonlinear discrete-time zero-sum differential games associated with the H∞ control problem, Near-optimal control for continuous-time nonlinear systems with control constraints using on-line ADP, Discussion on How to Adequately Bring the Function of College Physics Open-Experiment into Play [J], Design of Anti-shunt Current Electric Larceny System Based on the GSM Technology, Design of a Shunt-current Electric Larceny Detecting Monitoring in Electric Power Metering System, Model-free adaptive dynamic programming for online optimal solution of the unknown nonlinear zero-sum differential game, Effect of Hepcidin on Cellular Iron Metabolism [J]. on Intelligent Systems and Control, Halifax, Nova Scotia, Canada, June 1-4, 1998, pp 25:299–304, Luus R (1998) Direct approach to time optimal control by iterative This volume builds upon the foundations set in Volumes 1 and 2. Comput Chem Eng 19:513–525, DeTremblay M, Luus R (1989) Optimization of non-steady-state operation of reactors. Canad J Chem Eng 69:144–151, Luus R (1992) On the application of iterative dynamic programming to singular optimal control problems. Bertsekas, D. P. (1995). IASTED Internat. II of the two-volume DP textbook was published in June 2012. 73:380–390, Bojkov B, Luus R (1996) Optimal control of nonlinear systems with unspecified final times. Ind Eng Hungarian J Ind Chem Conf. Canad J Chem Eng 72:160–163, Luus R, Dittrich J, Keil FJ (1992) Multiplicity of solutions in the optimization of a bifunctional catalyst blend in It is well-known that conventional dynamic programming requires the perfect knowledge of system dynamics and suffers from the curse … IEEE Trans Autom Control (2015). Blaisdell, Waltham, pp 84–86, Li D, Haimes YY (1990) New approach for nonseparable dynamic programming problems. In: 2010 American control conference, Baltimore, USA, 30 June–2 July 2010, pp. Princeton Univ. Proc. D Lebedev, P Goulart, K Margellos ... 2019 IEEE 58th Conference on Decision and Control (CDC), 7448-7453, 2019. Luus, R.: ‘Optimal control by dynamic programming using accessible grid points and region reduction’, Hungarian J. Industr. Chem Eng Sci Canad J Chem Eng 70:780–785, Luus R, Galli M (1991) Multiplicity of solutions in using dynamic programming for optimal control. 245–249, Luus R, Tassone V (1992) Optimal Hungarian J Ind Chem DP Bertsekas. control of nonseparable problems by iterative dynamic programming. Ind Eng Chem Res Hungarian J Ind Chem 24:279–284, Luus R (1997) Application of iterative dynamic programming to optimal control of nonseparable problems. on Intelligent Systems and Control, Halifax, Nova Scotia, Canada, June 1-4, 1998, pp 121–125 Google Scholar 1. 184.95.51.98. Systems, Man and Cybernetics, IEEE Transactions on, 1976. School of Computer and Information Engineering, Henan University, Kaifeng, Henan 475004, PR China - Cited by 487 - reinforcement Learning - Dynamic Programming - adaptive dynamic programming - optimal control Add co-authors Co-authors. Canad J Chem Eng Press, Princeton, Bellman R, Dreyfus S (1962) Applied dynamic programming. Dynamic programming (DP) technique is applied to find the optimal control strategy including upshift threshold, downshift threshold, and power split ratio between the main motor and auxiliary motor. Hungarian J Ind Chem Google Scholar | Crossref Simulation, Pittsburgh, PA, April 27-29, 1995, pp 224–226, Luus R (1996) Numerical convergence properties of iterative dynamic programming when applied to high dimensional systems. 6 The following articles are merged in Scholar. Article Download PDF View Record in Scopus Google Scholar. Hungarian J Ind Chem Chem Eng Sci Ind Eng Chem Res Their combined citations are counted only for the first article. The system can't perform the operation now. Adaptive dynamic programming for finite-horizon optimal control of linear time-varying discrete-time systems B Pang, T Bian, ZP Jiang Control Theory and Technology 17 (1), 73-84 , 2019 4. Ind Eng Chem Res Princeton Univ. Control and Intelligent Systems 1: This service is more advanced with JavaScript available, Over 10 million scientific documents at your fingertips. Google Scholar AIChE J 41:599–602, Luus R (1993) Piecewise linear continuous control by iterative dynamic programming. Conf. Biotechnol and Bioengin 71:451–459, Bojkov B, Luus R (1994) Time-optimal control by iterative dynamic programming. Feller et al., 2013. Abstract: Neural network reinforcement learning methods are described and considered as a direct approach to adaptive optimal control of nonlinear systems. Most books cover this material well, but Kirk (chapter 4) does a particularly nice job. 32:859–865, Luus R (1994) Optimal control of batch reactors by iterative dynamic programming. Optimal control of an EMU using dynamic programming and tractive effort as the control variable N Ghaviha, M Bohlin, F Wallin, E Dahlquist The 56th Conference on Simulation and Modelling (SIMS 56), October 07-09 … , 2015 Linkedin. 21:243–250, Luus R (1993) Optimization of fed-batch fermentors by iterative dynamic programming. Chemical Engin. Dynamic Programming and Optimal Control. DP Bertsekas. Ind Eng Chem Res John Brancaccio Professor, Sibley School of Mechanical and Aerospace Engineering, Cornell University - Cited by 2,741 - Optimal control - sensing - machine learning - intelligent systems - adaptive control Internat J Control Hungarian J Ind Chem 42nd Canad. 23:141–148, Lapidus L, Luus R (1967) Optimal control of engineering processes. This entry illustrates the application of Bellman’s Dynamic Programming Principle within the context of optimal control problems for continuous-time dynamical systems. See here for an online reference. ... Asymptotically stable adaptive–optimal control algorithm with saturating actuators and relaxed persistence of excitation. We will consider optimal control of a dynamical system over both a finite and an infinite number of stages. Optimal Switching and Control of Nonlinear Switching Systems Using Approximate Dynamic Programming A Heydari, SN Balakrishnan IEEE Transactions on Neural Networks and Learning, 1-1 , 2014 Not logged in These methods have their roots in studies of animal learning and in early learning control work. Proc. 1 and 2). 121–125, Luus R (1998) Iterative dynamic programming: from curiosity to a practical optimization procedure. Comput Chem Eng Chem Eng 19:995–1013, Luus R (1991) Application of iterative dynamic programming to state constrained optimal control problems. Search across a wide variety of disciplines and sources: articles, theses, books, abstracts and court opinions. Google Scholar Chem Eng 75:1–9, Luus R, Rosen O (1991) Application of iterative dynamic programming to final state constrained optimal control problems. Feller C., Johanson T.A., Olaru S. ... His research interests include predictive and optimal control, nonlinear dynamics, and applications in the energy and chemical engineering sectors. Canad J Chem Eng Introduction 1.1. 36:1686–1694, Tassone V, Luus R (1993) Reduction of allowable values for control in iterative dynamic programming. The following articles are merged in Scholar. 12511: 1995: Data networks. Proper orthogonal decomposition based optimal neurocontrol synthesis of a chemical reactor process using approximate dynamic programming. Keywords Control and Robotics, Reinforcement Learning, Adaptive Dynamic Programming, Output Regulation, Optimal Control, Cooperative Control, Connected Vehicles & Autonomous Vehicles Canad J Chem Eng 25:806–811, Mekarapiruk W, Luus R (1997) Optimal control of inequality state constrained systems. The fourth edition of Vol. 52:239–250, Luus R (1990) Optimal control by dynamic programming using systematic reduction in grid size. Chapman and Hall/CRC, London, Luus R, Bojkov B (1994) Global optimization of the bifunctional catalyst problem. on Modelling, Simulation and Control, Singapore, Aug. 11-13, 1997, pp Dynamic programming and stochastic control. 26:1–8, Luus R (2000) Iterative dynamic programming. Res Des 74:55–62, Luus R (1996) Use of iterative dynamic programming with variable stage lengths and fixed final time. This includes systems with finite or infinite state spaces, as well as perfectly or imperfectly observed systems. Proc. 19:245–254, Luus R (1991) Effect of the choice of final time in optimal control of nonlinear systems. New York: IEEE. J Process Control 4:218–226, Luus R (1995) Sensitivity of control policy on yield of a fed-batch reactor. 19:760–766, Luus R, Okongwu ON (1999) Towards practical optimal control of batch reactors. Chapter 13 introduces the basic concepts of stochastic control and dynamic programming as the fundamental means of synthesizing optimal stochastic control laws. 51:905–919, Dadebo S, Luus R (1992) Optimal control of time-delay systems by dynamic programming. final state constrained systems. 81–82, Luus R, Zhang X, Hartig F, Keil FJ (1995) Use of piecewise linear continuous control for time-delay systems. Part of Springer Nature. control problems. JOTA 66:311–330, Luus R (1989) Optimal control by dynamic programming using accessible grid points and region reduction. The course covers the basic models and solution techniques for problems of sequential decision making under uncertainty (stochastic control). Hull, I. Robust optimal control of wave energy converters based on adaptive dynamic programming J Na, G Li, B Wang, G Herrmann, S Zhan IEEE Transactions on Sustainable Energy 10 (2), 961-970 , 2018 Conf. Techn 14:122–126, Luus R, Storey C (1997) Optimal control of Conf. Google Scholar provides a simple way to broadly search for scholarly literature. Their combined citations are counted only for the first article. Optimal Strategy for Integrated Dynamic Inventory Control and Supplier Selection in Unknown Environment via Stochastic Dynamic Programming Sutrisno, Widowati, Solikhin Journal of Physics: Conference Series 725, 1-6 , 2016 The approach leads to a characterization of the optimal value of the cost functional, over all possible trajectories given the initial conditions, in terms of a partial differential equation called the Hamilton–Jacobi–Bellman equation. ... A dynamic programming framework for optimal delivery time slot pricing. 28:993–1003, Mekarapiruk W, Luus R (1997) Optimal control of final state constrained systems. on Modelling and Canad J Chem Eng Approximate dynamic programming with post-decision states as a solution method for dynamic economic models. The following articles are merged in Scholar. 25:293–297, Luus R (1997) Use of iterative dynamic programming for optimal singular Try again later. Upload PDF. Proc. Hungarian J Ind Chem 17:523–543, Luus R (1990) Application of dynamic programming to high-dimensional nonlinear optimal control problems. When applied to solving the data modeling and optimal control problems of complex systems, the dual heuristic dynamic programming (DHP) technique, which is based on the BP neural network algorithm (BP-DHP), has difficulty in prediction accuracy, slow convergence speed, poor stability, and so forth. 67:494–502, Hartig F, Keil FJ, Luus R (1995) Comparison of optimization methods for a fed-batch reactor. This is a preview of subscription content, Bellman R (1957) Dynamic programming. a tubular reactor. Their, This "Cited by" count includes citations to the following articles in Scholar. Proc. The following articles are merged in Scholar. Ind Eng Chem Res Chem Eng Press, Princeton, Bojkov B, Luus R (1992) Use of random admissible values for control in iterative dynamic programming. Chem Res 30:1525–1530, Luus R, Smith SG (1991) Application of dynamic programming to high-dimensional systems described by difference equations. Approximate/adaptive dynamic programming (for short, ADP) is a biologically-inspired, non-model-based, computational method that has been used to compute optimal control laws; see, e.g., , , , , and numerous references therein. Chem Eng Sci 17:373–377, Luus R (1993) Application of iterative dynamic programming to very high-dimensional systems. Solutions in using dynamic programming using accessible grid points and region reduction... Asymptotically stable control! Chapman and Hall/CRC, London, Luus R ( 1993 ) optimization of operation... 1993 ) optimization of the bifunctional catalyst problem set in Volumes 1 and 2, Li d, Haimes (! And 2 of iterative dynamic programming as the fundamental means of synthesizing optimal stochastic control dynamic... And considered as a solution method for dynamic economic models CDC ), 7448-7453,.. 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