Results 161 to 170 of about 556,588 (202)

A Popov Criterion for Systems With Slowly Time-Varying Parameters

Proceedings of the 1997 American Control Conference (Cat. No.97CH36041), 1997
Summary: A Popov criterion is derived for systems with slowly time-varying parameters. The parameters and their time derivatives are assumed to take values in convex polytopes.
U Jonsson
exaly   +4 more sources

The Popov Criterion for Multiple-Loop Feedback Systems

IEEE Transactions on Automatic Control, 1980
Although analytic versions of the Popov criterion are available for multiple-loop feedback systems, it is difficult to get a graphical representation which is as useful as the single-loop one. This paper presents a graphical representation which provides a sufficient condition for the Popov criterion to hold in the multiple-loop case.
A Mees, D Atherton
exaly   +2 more sources

Design of Nonlinear Observers Using Popov's Criterion

IFAC Postprint Volumes IPPV / International Federation of Automatic Control, 2005
Abstract Recently there has been an intense activity in designing observers by means of the circle criterion. However, it is known that the use of Popov's criterion reduces the conservativeness of stability analysis based on the circle criterion, if further restrictions are satisfied by the nonlinearity.
Jaime A Moreno
exaly   +2 more sources

Estimating the Conservatism of Popov's Criterion for Real Parametric Uncertainties

Systems and Control Letters, 1997
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Eric Feron
exaly   +2 more sources

Stability Analysis With Popov Multipliers and Integral Quadratic Constraints

Systems and Control Letters, 1997
It is shown that a general form of Popov multipliers can be used in stability analysis based on integral quadratic constraints (IQC). The Popov multiplier is nonproper and a condition that the nominal plant is strictly proper will be imposed in order to ...
Ulf Jönsson
exaly   +2 more sources

LMI representation of the shifted Popov criterion

Automatica, 2000
The paper studies a stability condition for nonlinear feedback systems, called the shifted Popov criterion. The authors derive a linear matrix inequality representation of the shifted Popov criterion, both in the Lyapunov stability context and the input-output stability context, when the linear part of the nonlinear feedback system is finite ...
Yuji Kakutani, Tomomichi Hagiwara, Mituhiko Araki   +2 more
openaire   +3 more sources

On the Generalization of the Multivariable Popov Criterion for Slope-Restricted Nonlinearities

2024 IEEE 63rd Conference on Decision and Control (CDC)
Masaaki Nagahara, Takeshi Hatanaka
exaly   +2 more sources

A symmetric multivariable Popov criterion

Proceedings of the 36th IEEE Conference on Decision and Control, 2002
There have been many developments and applications of the Popov criterion. This paper generalises the version of the multivariable Popov criterion presented by Moore and Anderson (1968), extending the range of systems for which stability can be proved. The new generalisation is compared with more contemporary presentations of the Popov criterion.
P. Weston, I. Postlethwaite
openaire   +1 more source

On the Popov criterion

International Journal of Control, 1973
It is reasonable to expect that the ‘ Popov criterion ’ for the stability of systems containing an arbitrary, finite number of non-linear feedback elements can be improved when the hypothetical transfer function considered in the ‘ Popov criterion ’ is assumed to satisfy meaningful requirements.
openaire   +1 more source

A nonlinear Popov criterion

Proceedings of the 36th IEEE Conference on Decision and Control, 2002
A nonlinear Popov criterion is derived in the framework of integral quadratic constraints (IQC). The use of IQCs gives increased flexibility in the choice of Popov parameters. We also show how Popov IQCs can be derived for nonlinear operators with dynamics.
openaire   +1 more source