An integrated design procedure is developed for a modified Smith predictor and associated controller for linear time-delay systems having transfer functions of the formk1,Aexp (—sT)/B, whereAandBare monic polynomials in s of degreen—landn, respectively.Ais Hurwitz andBhas a single right-half-plane root ats= λ. Forl=1,2,3, an augmented PI controller guarantees asymptotic stability for λTless than anl-dependent limit. The procedure forl= 3 is extended tol= 4 with the introduction of derivative action into the controller. Design arguments are on root locus topology, and on Nyquist analysis applied to an auxiliary system.