Plane geometry and convexity of polynomial stability regions

Details Plane geometry and convexity of polynomial stability regions Plane geometry and convexity of polynomial stability regions

2008-01-16

arxiv.org/abs/0801.2499v1

Mathematics

Optimization and Control

Scientific paper

The set of controllers stabilizing a linear system is generally non-convex in the parameter space. In the case of two-parameter controller design (e.g. PI control or static output feedback with one input and two outputs), we observe however that quite often for benchmark problem instances, the set of stabilizing controllers seems to be convex. In this note we use elementary techniques from real algebraic geometry (resultants and Bezoutian matrices) to explain this phenomenon. As a byproduct, we derive a convex linear matrix inequality (LMI) formulation of two-parameter fixed-order controller design problem, when possible.

Affiliated with

Also associated with

No associations

Rating

Plane geometry and convexity of polynomial stability regions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Plane geometry and convexity of polynomial stability regions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Plane geometry and convexity of polynomial stability regions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-159916