IEC 60050 - International Electrotechnical Vocabulary

IEVref:

351-41-08

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Status: Standard

Term:

state variable

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element of a vector x(t) in a system with the differential equations

$\dot{x} (t) = f [x (t), u (t)]$ state equation

$v (t) = g [x (t), u (t)]$ output equation,

and for linear systems

$\dot{x} (t) = A \cdot x (t) + B \cdot u (t)$ state equation

$v (t) = C \cdot x (t) + D \cdot u (t)$ output equation,

from which for known initial values of the vector elements at any given instant t₀ (often with t₀ = 0) and known course of the elements of the input vector u(t) the course of the elements of the output vector v(t) may be calculated starting at t₀

SEE: Figure 3.

Note 1 to entry: In case of discrete-time variables the describing equations are

x_i+1 = f (x_i, u_i) state equation

v_i = g (x_i, u_i) output equation,

and for linear systems

x_i+1 = Φ·x_i + H·u_i state equation

v_i = C·x_i + D·u_i output equation.

Note 2 to entry: This entry was numbered 351-21-08 in IEC 60050-351:2006.

Publication date:

2013-11

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