RECURSIVE DISTRIBUTIONS OF POLES AND ZEROS FOR LINEAR PHASE VARIATIONS

This paper discusses two recursive distributions of poles and zeros that permit the synthesis of a transmittance whose phase variations are linear in respect to logarithmic variations of the frequency, slope and magnitude being adjusted through two parameters. One of the resulting transmittances is particularly attractive for the synthesis of a CRONE controller if constraints on closed loop pole locations or on sensitivity functions energies are imposed. The resulting transmittance also permits to obtain a state space description of the open and closed loop systems, representation required if a Linear Parameter Varying (LPV) system is controlled.