Frequency-domain stability theorem for the Lurie system with multiple nonlinearities specified by sector and slope information

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Frequency-domain stability theorem for the Lurie system with multiple nonlinearities specified by sector and slope information

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© The Institution of Electrical Engineers
Published

A frequency-domain inequality, which is a sufficient condition for the absolute stability of the Lurie system, with m non-linearities, is derived. This inequality is an extension of the multidimensional Popov criterion obtained without slope information on the nonlinearities.

Inspec keywords: stability

Other keywords: Lurie system with multiple nonlinearities; frequency domain stability theorem

Subjects: Stability in control theory

References

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      • A.G. Dewey , E.I. Jury . A stability inequality for a class of nonlinear feedback systems. IEEE Trans. , 54 - 62
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      • R.W. Mcgee , G.D.S. Maclellan . Stability of nonlinear multivariable control systems. Proc. IEE , 4 , 590 - 591
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      • A.G. Dewey . On the stability of feedback systems with one differentiable nonlinear element. IEEE Trans. , 485 - 491
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      • S. Purkayastha , A.K. Mahalanabis . An extended MKY lemma and its application. IEEE Trans. , 366 - 367
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