| Biography | |
|---|---|
 Dr. Sie Long Kek Universiti Tun Hussein Onn Malaysia, Malaysia |
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| Title: An Integrated Optimal Control with Parameter Estimation Approach for Free Dynamic Optimization Problem | |
| Abstract: In this talk, an approach of integrated optimal control with parameter estimation is discussed for solving the free dynamic optimization problem. In this approach, the adjusted parameters are added to the model used. The main aim is to measure the differences between the model used and the real plant dynamics. It is highlighted that the model used and the real plant have a different structure, and only solving the model-used, without the adjusted parameters, will not obtain the true optimal solution of the original dynamic optimization problem. Here, an expanded dynamic optimization problem is introduced, where system optimization and parameter estimation are integrated interactively as the additional constraints. Accordingly, the Hamiltonian function is defined, and the corresponding necessary conditions for optimality are derived. There are three sets of these necessary conditions, which declare the modified dynamic optimization problem, the parameter estimation problem, and the Lagrange multipliers. With the specific parameter estimates and the Lagrange multipliers, the feedback control policy of the modified dynamic optimization problem is designed. During the calculation procedure, the differences between the model used and the real plant are computed iteratively, in turn, to update the optimal solution of the model used. When the convergence is achieved, the iterative solution approximates to the original dynamic optimization problem, in spite of model-reality differences. For illustration, some dynamic optimization problems are studied to show the efficiency of the approach proposed. In conclusion, the applicability of the approach proposed is presented obviously. Some future directions are also pointed out in this talk. | |
| Biography: Sie Long Kek is currently working as a Senior Lecturer in the Department of Mathematics and Statistics, Faculty of Applied Sciences and Technology, Universiti Tun Hussein Onn Malaysia. He received his M.Sc. and Ph.D. in mathematics from Universiti Teknologi Malaysia, Johor, Malaysia in 2002 and 2011, respectively. He was a research associate at the Curtin University of Technology in 2009 during his Ph.D. study. His research interests include optimization and control, operation research and management science, modeling and simulation, parameter estimation, Kalman filtering, and computational mathematics. He has published more than 30 papers in refereed journals and three (3) book chapters. He is a reviewer for the peer reviewed research journals. He has hosted two (2) research projects supported by the Ministry of Education Malaysia. He has supervised three (3) master and three (3) Ph.D. students. During 2014-2019, he has visited Changsha University of Science and Technology, Mongolian National University, Hong Kong Polytechnic University, Chongqing Normal University, Jamal Mohamed College (Autonomous), Carleton University, Wuhan University, and Future University Hakodate. | |
