IMPROVEMENT ON STABILITY BOUNDS FOR SINGULARLY PERTURBED SYSTEMS VIA STATE-FEEDBACK

In this paper, first we give a new characterization for the upper boun d epsilon of the parasitic parameter epsilon in singularly perturbed systems, which ensures stability of such systems if 0 < epsilon < epsi lon. It will be shown that this upper bound is just the minimum posit ive eigenvalue of a matrix pair, which can be explicitly constructed f rom the system matrix. Secondly, based on the new characterization for the stability upper bound, an algorithm for computing this upper boun d epsilon is established. Thirdly, in order to improve the upper boun d epsilon via state feedback, an algorithm is developed. Finally, sev eral examples are presented to illustrate the algorithms proposed in t his paper.