LINEAR PROGRAMMING APPROACH TO SOLVE SOME OPTIMAL LINEAR CONTROL PROBLEMS

• Main Author: Naufal Hammami, Husein
• Format: Final Project
• Language: Indonesia
• Subjects: Ilmu alam dan matematika
• Online Access: https://digilib.itb.ac.id/gdl/view/49598
• Institution: Institut Teknologi Bandung

Control theory had been used in a wide variety of fields in engineering and science. Implementation and utilization of control theory are needed to solve existing problems, especially in industry. The application of control theory optimization is done to answer the optimal solution, either minimizing costs or maximizing output in a system. However, the factual data in the real field were usually formed in discrete data, so the model would be difficult to apply. Then the model must first be converted into a discrete model. It will change the model form of the problem with a discretization approach. The main tools for discretizing control problems are numerical differentiation methods, finite difference, and Rieman sum approximation. The scope of the problem to be studied only focuses on the optimal linear control problem. The problems discussed and resolved are ordinary optimal linear control problems, production and inventory planning problems, and rocket flight problems. These problems are discretized and transformed into linear discrete forms. Starting with discretizing the time domain, its objective function, and its constraints. Then the discrete form is expressed in a representation of the linear programming problem so that finding the optimum value is solved using linear programming optimization. These three problems are resolved properly using a linear programming approach and abstracted by simulation examples. Solving the optimal linear control problem will be simpler and easier to implement if the input data used is discrete. A similar method can also be applied to other optimal linear control problems.