Shaping of Dynamic Responses by Observers

This paper presents the experimental results of the investigation of the effects of the observer poles for shaping the dynamic responses of state-space systems with system poles placed by state vectors obtained from full-order observers instead of the original full state vectors, which is assumed to be unavailable. The particular parameters considered in the shaping of the dynamic responses in this paper are the settling time and percent overshoot. A large number of observer poles on the complex plane were selected evenly. The corresponding observer state vectors were computed. These state vectors were used for system pole placement. All the system poles were placed at the same locations. The resulting dynamic responses were simulated and the settling times and percent overshoots were measured. Even though the system poles were the same, the dynamic responses, in particular, the settling time and percent overshoot were not identical and depended on the locations of the observer poles. The relationship between these parameters and the observer poles were analyzed and the results are presented in this paper.