Proportional-Derivative (PD) controllers for haptics subject to distributed time-delays: A geometrical approach

This paper focuses on the stability analysis of Proportional-Derivative (PD) controllers for Multi-Input-Multi-Output (MIMO) systems affected by distributed time-delays. The time-delays will be approximated by the most common distributions (uniform and gamma with gap distributions). In order to provide practical guidelines for the design of PD controllers we describe the stability regions in the gains-parameter space using a geometric approach. Illustrative examples complete the presentation.