On the design of stabilizing control for structured uncertain singularly perturbed systems

We deal with the design of robust controllers for a linear time invariant uncertain system exhibiting two time scale properties for the entire range of parameter variations. The uncertain system has been decomposed into slow and fast uncertain subsystems. The stabilizing controllers for the lower order subsystems are designed and a composite controller is obtained from them. This composite controller is shown to stabilize the higher order uncertain system, if applied to it. A numerical example illustrates the procedure.<<ETX>>