Root Locus for SISO DeadTime Systems: A Continuation Based Approach
Abstract
We present a numerical method to plot the root locus of SingleInputSingleOutput (SISO) deadtime systems with respect to the controller gain or the system delay. We compute the trajectories of characteristic roots of the closedloop system on a prescribed complex right halfplane. We calculate the starting, branch and boundary crossing roots of rootlocus branches inside the region. We compute the root locus of each characteristic root based on a predictorcorrector type continuation method. To avoid the high sensitivity of roots with respect to the locus parameter in the neighborhood of branch points, the continuation method relies on a natural parameterization of the rootlocus trajectory in terms of a distance in the (characteristic root, locus parameter)space. The method is numerically stable for high order SISO deadtime systems.
 Publication:

arXiv eprints
 Pub Date:
 March 2020
 DOI:
 10.48550/arXiv.2003.09253
 arXiv:
 arXiv:2003.09253
 Bibcode:
 2020arXiv200309253G
 Keywords:

 Electrical Engineering and Systems Science  Systems and Control
 EPrint:
 arXiv admin note: text overlap with arXiv:2003.04672