This paper considers the issue of strongly robust stabilization of a set of linear, controllable, time-invariant and SISO systems of degree n 1. First of all the notion of Strong Robustness is introduced. Then we prove the existence of an open strongly robust spherical neighborhood around any system within the studied class. Next, balls of systems are considered and we give a sufficient and a necessary conditions on their radius to ensure their strong robustness. These results are illustrated by the example of first order pole placement design.
|Title of host publication
|Nonlinear and Adaptive Control: NCN4 2001
|A. Zinober, D. Owens
|Place of Publication
|Number of pages
|Published - 2003
|Lecture Notes in Control and Information Sciences