Singularly perturbed implicit control law for linear time varying SISO systems
Résumé
This paper considers the problem of stabilizing a single-input single-output linear time varying system using a low order controller and a reference model. The closed loop is a linear singularly perturbed system with uniform asymptotic stability behavior. We calculate bounds as in Kokotovi'c's book, such that the uniform asymptotic stability of the singularly perturbed system is guaranteed. We show how to design a control law such that the system dynamics is assigned by a Hurwitz polynomial with constant coefficients.