Synthesis of parameter-dependent controllers yielding affine-in-parameters characteristic polynomials

The problem considered is that of designing a parameter-dependent linear controller for a parameter-dependent linear plant, where the parameter may be time-varying. The set of controllers considered is restricted to those which ensure the closed-loop characteristic polynomial is affine in the parameter. This allows stability results for the case when the parameter is time-varying to be inferred from stability properties applying for time-frozen values of the parameter. The proposed design procedures and conditions for a parameter-dependent controller design are illustrated on a practical design problem