Abstract : This paper deals with a linear time-invariant dynamic system such as spring-mass-damper system. General dynamic systems are quite ommonly to be redesigned for another purpose of using. For example, if one utomobile must be redesigned to have more weights, the existing suspension must be replaced due to that gained weight. Therefore the stiffness and damping coefficient must be recomputed in order to make the automobile become suitable for using as previous. Here the spring-mass-damper system is used as an example to demonstrate the technique through dynamic optimization where the problem is solved in two categories as minimum energy and maximum jerk. Once the state and control variables are provided from the problem of minimum energy and maximum jerk, respectively, these parameters will be substituted in dynamic equations and leave the stiffness and damping coefficient as the unknown parameters to be solved. Solutions are computed through specific dynamic optimization program which known as parameter optimization. Finally, the new designed system becomes as good as previous system.
Author : Tawiwat Veeraklaew