SOME RESULTS ON CONTROL SYSTEMS WITH MIXED PERTURBATIONS
Nusret Tan1 and Derek P. Atherton2
1 Inonu Univ., Eng. Faculty, Electrical and Electronics Eng., 44069, Malatya, Turkey. ntan@inonu.edu.tr
2 Univ. of Sussex, School of Eng. and Information Tech., Falmer, Brighton BN1 9QT UK. d.p. atherton@sussex.ac.uk
The paper considers control systems with parametric as well as unstructured uncertainty. Parametric uncertainty is modelled by a transfer function whose numerator and denominator polynomials are independent polynomials with affine linear uncertainty. The unstructured uncertainty is modelled as norm bounded perturbations and perturbations consisting of a family of nonlinear sector bounded feedback gains. Using the geometric structure of the value set of polynomials with affine linear uncertainty, some results are presented for determination of the robust small gain theorem, robust performance, strict positive realness and absolute stability problem of control systems with parametric as well as unstructured uncertainty.
Keywords: Nonlineer control systems; Robust stability; Robust performance; Popov criterion; Uncertain linear systems; Envelopes Affine
Session slot T-We-M15: Robust Analysis I/Area code 2e : Robust Control

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