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Application of frequency-domain stability criteria to certain nonlinear position control systems

Application of frequency-domain stability criteria to certain nonlinear position control systems

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Results are obtained by the construction of a quadratic form of Lyapunov function, following the method of McGee and MacLellan. A comparison with Fallside and Ezeilo shows that, for certain systems containing a nonlinearity which is a function of several variables, previously established sufficient conditions for stability are substantially weakened.

References

    1. 1)
      • R.W. McGee , G.D.S. Maclellan . Stability of non-linear multivariable control systems. Proc. IEE. , 590 - 591
    2. 2)
      • F. Fallside , J.O.C. Ezeilo . Application of the second method of Lyapunov to the stability of certain position control systems containing a back-e.m.f. non-linearity. Proc. IEE. , 1855 - 1866
    3. 3)
      • Partovi, S., Nahi, N.E.: `Absolute stability of dynamic systems containing non-linear functions of several state variables', IFAC symposium on multivariable control systems, 1968, .
    4. 4)
      • V.M. Popov . Absolute stability of non-linear systems of automatic control. Automat. Remote Control , 857 - 875
    5. 5)
      • R.E. Kalman . Lyapunov functions for the problem of Lur'e in automatic control. Proc. Nat. Acad. Sci. USA , 201 - 205
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Comment: Criterion for the stability of a fourth-order position control system
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