Fault tolerant control (FTC) is the branch of control theory,
dealing with the control of systems that become faulty during
their operating life. Following the systems classification, as
linear and nonlinear models, FTC can be classified in two
different groups, linear FTC (LFTC) dealing with linear models,
and the one of interest to us in this paper, nonlinear FTC (NFTC),
which deals with nonlinear models. We present in this paper a
survey of some of the results obtained in these last years on NFTC.

Mouhacine Benosman

A Survey of Some Recent Results on Nonlinear Fault Tolerant Control

In order to study the dynamic behavior of ships navigating in severe environmental conditions it is imperative to develop their governing equations of motion taking into account the inherent nonlinearity of large-amplitude ship motion. The purpose of this paper is to present the coupled nonlinear equations of motion in heave, roll, and pitch based on physical grounds. The ingredients of the formulation are comprised of three main components. These are the inertia forces and moments, restoring forces and moments, and damping forces and moments with an emphasis to the roll damping moment. In the formulation of the restoring forces and moments, the influence of large-amplitude ship motions will be considered together with ocean wave loads. The special cases of coupled roll-pitch and purely roll equations of motion are obtained from the general formulation. The paper includes an assessment of roll stochastic stability and probabilistic approaches used to estimate the probability of capsizing and parameter identification.

R. A. Ibrahim

I. M. Grace

Modeling of Ship Roll Dynamics and Its Coupling with Heave and Pitch

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Mathematical Problems in Engineering is a broad-based journal publishing&nbsp;results of rigorous engineering research across all disciplines, carried out using mathematical tools.

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Chief Editor, Professor Guangming Xie, is currently a full professor of dynamics and control with the College of Engineering, Peking University. His research interests include complex system dynamics and control and intelligent and biomimetic robots.

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Mathematical Problems in Engineering

This Issue is now open for submissions.
Papers are published upon acceptance, regardless of the Special Issue publication date.

Mathematical Problems in Engineering

Models, Methods, and Applications of Dynamics and Control in Engineering Sciences: State of the Art

Models, Methods, and Applications of Dynamics and Control in Engineering Sciences: State of the Art

Articles

A Survey of Some Recent Results on Nonlinear Fault Tolerant Control

Modeling of Ship Roll Dynamics and Its Coupling with Heave and Pitch