Applications of Optimal Control Theory in Civil and Environmental Engineering
Event details
| Date | 19.04.2012 |
| Hour | 12:15 › 13:15 |
| Speaker | Prof. Ilya Ioslovich |
| Location | |
| Category | Conferences - Seminars |
On optimal irrigation scheduling
Optimal irrigation scheduling based on a dynamical model is analyzed, and global optimality has been proven with the use of sufficient conditions. The rather simple dynamic model has been used here. The model has two state variables: plant biomass and soil moisture. The optimal trajectory, i.e. the optimal irrigation scheduling, generally contains three periods: (i) maximal irrigation up to the optimal level of soil moisture, (ii) intermediate irrigation that maintains soil moisture at the optimal level which is a singular arc and (iii) no irrigation until the end of the growth season. This approach uses Krotov’s sufficient conditions of optimality, Krotov’s global bounds method, and Hamilton-Jacobi-Bellman formalism.
Time-Optimal Traffic Control Synthesis for a Signalized Isolated Intersection
The minimum time optimal control problem for a signalized intersection is defined as finding the green split that dissolves all initial non-zero queue lengths in minimum time. Here, the optimal minimum time control for an isolated intersection is found in explicit state feedback form, where the state is defined as the queue lengths, by the use of a clever modification of D. Gazis’s continuous differential model, and the Pontryagin Maximum Principle. The closed form feedback solution is presented for all types of constraints on the maximal green split values, and on the queue lengths, i.e. with constrained control and state variables. In general, the minimum time optimal solutions are non-unique. It is also demonstrated that the known contribution by D. Gazis (1964) alleged to solve the minimal “total delay” problem is in fact a minimal time solution in a particular region of the state space.
Bio: Prof. Ilya Ioslovich was born in Moscow, Russia, in 1937. He received the M.Sc. degree in mechanics from Moscow State University, Moscow, in 1960, and the Ph.D. degree in physics and mathematics from Moscow Institute of Physics and Technology (Phys-Tech), Moscow, in 1967. He held positions of head of lab and head of division in different research Institutions in Moscow. Since 1991, he has been with the Faculty of Agricultural Engineering, Technion, Haifa, Israel. Since 2002, he was Full Professor in the Faculty of Civil and Environmental Engineering, Technion. Since 2012 he is scientific consultant at Technion Research and Development Foundation Ltd. His current research interests include optimization of agricultural, environmental and transportation systems, space research, optimal control, identification, and modeling. Prof. Ioslovich is recipient of two silver medals for industrial achievements from the Soviet All-Union Exhibition in 1976 and 1983.
Optimal irrigation scheduling based on a dynamical model is analyzed, and global optimality has been proven with the use of sufficient conditions. The rather simple dynamic model has been used here. The model has two state variables: plant biomass and soil moisture. The optimal trajectory, i.e. the optimal irrigation scheduling, generally contains three periods: (i) maximal irrigation up to the optimal level of soil moisture, (ii) intermediate irrigation that maintains soil moisture at the optimal level which is a singular arc and (iii) no irrigation until the end of the growth season. This approach uses Krotov’s sufficient conditions of optimality, Krotov’s global bounds method, and Hamilton-Jacobi-Bellman formalism.
Time-Optimal Traffic Control Synthesis for a Signalized Isolated Intersection
The minimum time optimal control problem for a signalized intersection is defined as finding the green split that dissolves all initial non-zero queue lengths in minimum time. Here, the optimal minimum time control for an isolated intersection is found in explicit state feedback form, where the state is defined as the queue lengths, by the use of a clever modification of D. Gazis’s continuous differential model, and the Pontryagin Maximum Principle. The closed form feedback solution is presented for all types of constraints on the maximal green split values, and on the queue lengths, i.e. with constrained control and state variables. In general, the minimum time optimal solutions are non-unique. It is also demonstrated that the known contribution by D. Gazis (1964) alleged to solve the minimal “total delay” problem is in fact a minimal time solution in a particular region of the state space.
Bio: Prof. Ilya Ioslovich was born in Moscow, Russia, in 1937. He received the M.Sc. degree in mechanics from Moscow State University, Moscow, in 1960, and the Ph.D. degree in physics and mathematics from Moscow Institute of Physics and Technology (Phys-Tech), Moscow, in 1967. He held positions of head of lab and head of division in different research Institutions in Moscow. Since 1991, he has been with the Faculty of Agricultural Engineering, Technion, Haifa, Israel. Since 2002, he was Full Professor in the Faculty of Civil and Environmental Engineering, Technion. Since 2012 he is scientific consultant at Technion Research and Development Foundation Ltd. His current research interests include optimization of agricultural, environmental and transportation systems, space research, optimal control, identification, and modeling. Prof. Ioslovich is recipient of two silver medals for industrial achievements from the Soviet All-Union Exhibition in 1976 and 1983.
Practical information
- General public
- Free
Organizer
- Prof. Nikolas Geroliminis & Prof. Katrin Beyer
Contact
- Prof. Nikolas Geroliminis