Singular perturbation methods in the design of stabilizing feedback controllers for multivariable linear systems

Singular perturbation methods are used to reduce the design of stabilizing feedback controllers for a class of (n + m)th order multivariable linear systems to the design of stabilizing feedback controllers for an associated class of nth order systems obtained by ignoring ‘ parasitic ’ elements which correspond to the presence of a small parameter in the state equations of the (n + m)th order systems.