The forming of electrical excitations by using rules of time scaling
Bogdan Grzywacz · 2004
The paper deals with synthesis of such signals controlling the voltage or current sources supplying electrical circuits and systems, the circuit or system response y(t), i.e. voltage (or current) associated with chosen element of circuit or output signal of system (e.g. rotational speed of electric motor, output temperature of electro-heat process) can be tuned according to rules of time scaling. It means, that "reference" response y(t) can be modified to the form y(A/sup -1/ t), where A - constant, positive number. In certain applications the coefficient A can be replaced by a positive function A(t). Thus, one can "speed up" or "slow down" the response of system, conserving the consecutive amplitudes of reference response y(t). The considered algorithms, basing on state space representation of systems, can be applied to linear circuits and systems as well as nonlinear ones, those described by "standard" form of nonlinear state equation system.