Optimal Control Lecture Prof. Daniela Iacoviello Department of Computer, Control, and Management Engineering Antonio Ruberti Sapienza University of Rome Prof. Daniela Iacoviello Department of computer, control and management Engineering Antonio Ruberti Office: A219 Via Ariosto 25 http://www.dis.uniroma1.it/~iacoviel Controllo nei sistemi biologici Lecture 1 27/11/2015 Pagina 2 Prof.Daniela Iacoviello- Optimal Control Grading Project + oral exam The exam must be concluded before the second part of Identification that will be held by Prof. Battilotti Example of project: Read a paper on an optimal control problem (any field will do) You can choose a topic developed in the papers I proposed you, or from the examples proposed in the books suggested (i.e. Evans) , or a specific problem of your interest. 1) Study: background, motivations, model, optimal control, solution, results 2) Simulations You must give me, at least ten days before the date of the exam: - A .doc document - Matlab simulation files 1) Study: background, motivations, model, optimal control, solution, results In the .doc file you have to indicate clearly: - the background of the problem you are studying, the motivations (why the problem is important?), - the model assumed (indicate variables, parameters, their meaning, etc), - the cost index and the optimal control introduced (the meaning, what they represent, different possible choices, etc). 2) Simulations: You have to implement the model and the control by matlab: - describe the program; - propose the results; - discuss them. You must give me, at least ten days before the date of the exam: - A .doc document - Matlab simulation files Final exam: Project + oral part: Project Discussion of the project using a power point presentation Oral part on the topics considered during the Lectures The Student can decide the date of the exam (send me an e-mail with all the material ten days before the date you propose for the exam) The discussion of the project and the oral exam may be in the same day or not. Students who proposed the projects together must discuss the project together, but they can do their exam in different days The exam must be concluded before the second part of Identification that will be held by Prof. Battilotti The final grade will be the weighted sum of the evaluations obtained in the two parts, optimal control (3CFU) and identification (9 CFU) References (all available in the library of the Department) B.D.O.Anderson, J.B.Moore, Optimal control, Prentice Hall, 1989 C.Bruni, G. Di Pillo, Metodi Variazionali per il controllo ottimo, Masson , 1993 L. Evans, An introduction to mathematical optimal control theory, 1983 H.Kwakernaak , R.Sivan, Linear Optimal Control Systems, Wiley Interscience, 1972 D. E. Kirk, "Optimal Control Theory: An Introduction, New York, NY: Dover, 2004 D. Liberzon, "Calculus of Variations and Optimal Control Theory: A Concise Introduction", Princeton University Press, 2011 How, Jonathan, Principles of optimal control, Spring 2008. (MIT OpenCourseWare: Massachusetts Institute of Technology). License: Creative Commons BY-NC-SA Prof.Daniela Iacoviello- Optimal Control