Control parameterization approach to time-delay optimal control problems: A survey

Control parameterization technique is an effective method to solve optimal control problems. It works by approximating the function piece-wise constant (or linear) function. In this way, problems are approximated parameter selection problems, which can be regarded as finite-dimensional optimization where heights and switching times of taken decision variables. They solved using gradient-based methods. For this, it requires gradient formulas objective constraint functions with respect There two methods for deriving required formulas. The aim paper survey various numerical developed based on solving governed time-delay systems. Particular focus those optimizing time points. This because process points much more complicated delays. addition, we shall also review computational involving