Optimal Control
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Follow on Instagram for UpdatesOptimal Control Syllabus — Unit-wise Content
The official GTU curriculum for Optimal Control (subject code ME02067071) as prescribed for AI · Semester 2 divides the course into 5 units, covering 19 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (ME02067071)Unit 1 Mathematical preliminaries
- Problem formulation – Mathematical model – Physical constraints - Performance measure Optimal control problem
- Form of optimal control
- Performance measures for optimal control problem
- Selection a performance measure
Unit 2 Dynamic Programming – Optimal control law – Principle of
- An optimal control system
- A recurrence relation of dynamic programming – computational procedure
- Characteristics of dynamic programming solution
- Hamilton – Jacobi – Bellman equation
- Continuous linear regulator problems
Unit 3 Calculus of variations – Fundamental concepts. Functionals. Piecewise
- – smooth externals
- Constrained extrema. 10 22
Unit 4 Variational approach to optimal control problems – Necessary
- conditions for optimal control – Linear regulator problems
- Linear tracking problems
- Pontryagin’s minimum principle and state inequality constraints
Unit 5 Minimum time problems – Minimum control – effort problems
- Singular intervals in optimal control problems
- Numerical determination of optimal trajectories – Two point boundary – value problems
- Methods of steepest decent
- variation of externals
- Gradient projection algorithm
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