Solutions to Point-to-Point Control Problems using Laplace Transform Technique

The governing equations of point-to-point control problems are converted using Laplace transform from a set of linear ordinary differential equations into an equivalent set of linear algebraic equations embedded with the boundary conditions. A simple analytical procedure for evaluating open-loop control input using these algebraic equations is presented. A new concept of feedback control is also developed which involves a recursive evaluation of the open-loop control input.