TTK4135 - Optimization and Control
The course treats optimization. The candidates learn to formulate optimization problems and solve these through appropriate algorithms and software. Optimality conditions like the Karush-Kuhn-Tucker (KKT) conditions are discussed and conditions for global and local conditions are analyzed. Key optimization classes of problems including linear programming (LP), quadratic programming (QP) and nonlinear programming (NP) are studied and applied in different settings.
The course includes advanced control of dynamic systems with emphasis on Model Predictive Control (MPC).
- Ability to formulate appropriate engineering problems as a mathematical optimization problem.
- Knowledge of typical engineering problems which are suitable for optimization.
- Ability to analyze and solve an optimization problem; in particular linear programs (LP), quadratic programs (QP) and nonlinear programs (NP).
- Ability to analyze and design optimal controllers; in particular Model Predictive Controllers (MPC).
- Knowledge of optimization software.
- Solve suitable optimization problems using Matlab.
- Use optimization in controllers; in particular Model Predictive Control (MPC).
- Complete a small optimization project.
- Analyze a problem and contribute to innovative design solutions.
- Communicate technical issues with specialists in cross-disciplinary teams and the general public.
- Conscious attitude towards the use of optimization within engineering.
Learning methods and activities
The course is given as a mixture of lectures, assignments and a laboratory project. Seven of the assignments and the laboratory report must be approved to enter the final exam.
Further on evaluation
Portfolio evaluation is used the final grade in the subject. Parts of the portfolio are the final exam in writing 70%, a project report 15% and a midterm test 15%. The result of each part is given in percentage units, while evaluation of the entire portfolio (the final grade) is given as a letter.
If there is a re-sit examination, the examination form may change from written to oral.
Both project report (15%) and midterm test (15%) need to be retaken in addition to the main exam (70%).
Exam registration requires that class registration is approved in the same semester. Compulsory activities from previous semester may be approved by the department.
Recommended previous knowledge
Calculus 1, 2, 3 and 4 (TMA4100, TMA4105, TMA4115, TMA4120), TTK4105 Control Systems, TTK4115 Linear System Theory or a comparable background.
Information on this is given at the start of the semester.
Examination arrangement: Portfolio assessment
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- * The location (room) for a written examination is published 3 days before examination date.