Let the nonlinear dynamic system of the “black box” type with two input (x1(t), x2(t)) and one output signals is modeled by a quadratic polynomial of Volterra. In the paper, a method of identification of Volterra polynomials is given for the vector case. The basis of this approach is the product integration method that was extended onto case of multi-dimensional convolutions.
Let procedure for identification of quadratic Volterra polynomial is already implemented and one of input signals, say x1(t), is control.
The problems is to select a dynamic water discharge of heat-transfer x1(t), which provides needed heat-transfer temperature at the exit of the heat exchange device at given x2(t). Formulated problem of the automatic control is reduced to a bilinear Volterra equation of the first kind in x1(t). The efficiency of this approach is illustrated on an etalon model of heart exchange device.
Note. Abstracts are published in author's edition
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© 1996-2000, Institute of computational Techologies SB RAS, Novosibirsk
© 1996-2000, Siberian Branch of Russian Academy of Science, Novosibirsk