By Paul Serban Agachi

ISBN-10: 3110289814

ISBN-13: 9783110289817

This publication offers tools, difficulties and instruments utilized in technique keep an eye on engineering. It discusses: technique wisdom, sensor procedure know-how, actuators, communique expertise and logistics in addition to layout and development of regulate structures and their operation. the data is going past the conventional technique engineering box by way of using an analogous rules to biomedical procedures, strength construction and administration of environmental matters.

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The magnitude in decibel units is defined by |H(jω )|dB = 20 lg |H(jω )|. 104) The Bode diagram of phase usually uses the radian unit (the degree unit may be also used). The magnitude and phase Bode diagrams are usually placed one below another, thus having the same logarithmically spaced abscissa lg(ω ), as presented in Fig. 15. This positioning allows the correlation between values of the magnitude and the phase at the same frequency lg(ω ) . Due to the decibel unit, the values of the magnitude situated above the abscissa axis correspond to modules having values higher than unity (amplification) and the values of the magnitude situated below the abscissa axis correspond to values of magnitude less than unity (attenuation).

70) t yzero-state (t) = ∫ C(t) ⋅ Φ (t, τ ) ⋅ B(τ ) ⋅ u(τ ) ⋅ dτ + D(t) ⋅ u(t). 71) t0 The term yzero-input is named zero-input response and represents the response of the system having the input equal to zero but nonzero initial conditions. The term yzero-state is named zero-state response and represents the response of the system having the initial conditions equal to zero but nonzero input. This summation is a consequence of the linear character of the system that possesses the effect superposition property.

Due to the decibel unit, the values of the magnitude situated above the abscissa axis correspond to modules having values higher than unity (amplification) and the values of the magnitude situated below the abscissa axis correspond to values of magnitude less than unity (attenuation). Values of the phase above the abscissa axis correspond to positive phase (leading phase) and value below the abscissa axis corresponds to negative phase (phase lag). The logarithmically spaced frequency allows the representation of the Bode magnitude and phase with a good resolution both for very low and for very high frequency values.

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Basic Process Engineering Control by Paul Serban Agachi


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