Damping Robustness
Alain Oustaloup · 2014
The proof and validation of the damping robustness of the water relaxation on a porous dyke are presented in this chapter by a very progressive process, whose structure according develops the various study stages going from the object to its performances and to their experimental verification. It detects its non-integer nature by changing from the network to a non-integer derivative. The chapter demonstrates the insensitiveness of the relaxation damping ratio through: 1. an operational approach which leads to isodamping half-straight lines; 2. a frequency approach which leads to a frequency template. Damping robustness is here validated by the step response of an electronic circuit that achieves: 1. the most elementary transmittance (no zero at the numerator); 2. whose characteristic polynomial (denominator) is no other than the one of the differential equation governing the water relaxation on a porous dyke.