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Determination of self-excited and transient oscillations in nonlinear control systems by the control area

Determination of self-excited and transient oscillations in nonlinear control systems by the control area

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© The Institution of Electrical Engineers
Published

It is shown that the concept of the control area can be used successfully for determining the parameters of self-excited and transient oscillations in nonlinear control systems. To this end, the general relationships are presented from which the parameters of oscillations can be obtained and the procedure is accompanied by examples.

Inspec keywords: stability; nonlinear systems

Other keywords: transient oscillations; control area; stability; nonlinear control systems; self excited oscillations

Subjects: Nonlinear control systems; Stability in control theory

References

    1. 1)
      • B.N. Petrov . (1967) , Modern methods for the design of control systems.
    2. 2)
      • E.P. Popov . (1962) , The dynamics of automatic control systems.
    3. 3)
      • N. Minorsky . (1969) , Theory of nonlinear control systems.
    4. 4)
      • Obradović, I.J.: `A new adaptive control system based upon the areas enclosed between the input and output plots', 11th joint automatic control conference, 1970, Atlanta, Ga., USA, p. 227–236.
    5. 5)
      • E.P. Popov , I.P. Pal'tov . (1960) , Approximate methods for the analysis of nonlinear control systems.
    6. 6)
      • I.J. Obradović . Die Abweichungsfläche bei Schnellregelvorgängen. Arch. Elektrotech. , 382 - 390
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