Singularly perturbed implicit control law for linear time varying MIMO systems

This paper considers the problem of stabilizing amulti-inputmulti-output linear time varying system using a singularly perturbed controller and a model matching controller. The closed loop is a linear singularly perturbed system with uniform asymptotic stability behavior. We calculate bounds ε ∈ (0, ε*) as in the book of Kokotović, Khalil and O'Reilly, such that the uniform asymptotic stability of the singularly perturbed system is guaranteed.