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A strictly proper transfer function is a transfer function where the degree of the numerator is less than the degree of the denominator. The difference between the degree of the denominator (number of poles) and degree of the numerator (number of zeros) is the relative degree of the transfer function.
The transfer function of a two-port electronic circuit, such as an amplifier, might be a two-dimensional graph of the scalar voltage at the output as a function of the scalar voltage applied to the input; the transfer function of an electromechanical actuator might be the mechanical displacement of the movable arm as a function of electric ...
Proper morphism, in algebraic geometry, an analogue of a proper map for algebraic varieties; Proper transfer function, a transfer function in control theory in which the degree of the numerator does not exceed the degree of the denominator; Proper equilibrium, in game theory, a refinement of the Nash equilibrium; Proper subset; Proper space ...
In control system theory, and various branches of engineering, a transfer function matrix, or just transfer matrix is a generalisation of the transfer functions of single-input single-output (SISO) systems to multiple-input and multiple-output (MIMO) systems. [1] The matrix relates the outputs of the system to its inputs.
Any given transfer function which is strictly proper can easily be transferred into state-space by the following approach (this example is for a 4-dimensional, single-input, single-output system): Given a transfer function, expand it to reveal all coefficients in both the numerator and denominator.
Any given transfer function which is strictly proper can easily be transferred into state-space by the following approach (this example is for a 4-dimensional, single-input, single-output system)): Given a transfer function, expand it to reveal all coefficients in both the numerator and denominator. This should result in the following form:
For example, a simple differentiator, such as a voltage-driven capacitor or a velocity-driven mass, has an improper transfer function and therefore an infinite frequency response at infinity.Roesser 14:37, 27 July 2007 (UTC) — Preceding unsigned comment added by 71.167.60.210
The expression () = () + () is referred to as the closed-loop transfer function of the system. The numerator is the forward (open-loop) gain from r {\displaystyle r} to y {\displaystyle y} , and the denominator is one plus the gain in going around the feedback loop, the so-called loop gain.