Issues of numerical accuracy and stability in inverse simulation

Lu, L., Murray-Smith, D. and Thomson, D.G. (2008) Issues of numerical accuracy and stability in inverse simulation. Simulation Modelling Practice and Theory, 16(9), pp. 1350-1364. (doi: 10.1016/j.simpat.2008.07.003)

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Publisher's URL: http://dx.doi.org/10.1016/j.simpat.2008.07.003

Abstract

Inverse simulation algorithms based on integration have been widely applied to predict the control input time histories required for aircraft to follow ideally defined manoeuvres. Several different inverse simulation algorithms are available but these different methods are all subject to a number of numerical and stability problems, such as high frequency oscillation effects and also lower frequency oscillatory phenomena termed "constraint oscillations". Difficulties can also arise in applications involving discontinuous manoeuvres, discontinuities within the model or input constraints involving actuator saturation. This paper has shown that the dynamic response properties of the internal system are the cause of the so-called "constraint oscillation" phenomenon. In addition, a new inverse simulation approach based on the constrained derivative-free Nelder–Mead search-based optimisation method has been developed to eliminate problems of discontinuities and saturation. Simulation studies involving nonlinear ship models suggest that this new approach leads to improved properties in terms of convergence and numerical stability.

Item Type:Articles
Keywords:Inverse Simulation, Model Inversion, Numerical Stability
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Thomson, Dr Douglas and Murray-Smith, Professor David
Authors: Lu, L., Murray-Smith, D., and Thomson, D.G.
Subjects:T Technology > TL Motor vehicles. Aeronautics. Astronautics
College/School:College of Science and Engineering > School of Engineering > Autonomous Systems and Connectivity
Research Group:Flight Dynamics
Journal Name:Simulation Modelling Practice and Theory
ISSN:1569-190X
ISSN (Online):0929-2268

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
370951Improved inverse simulation using nonlinear predictive methodsDouglas ThomsonEngineering & Physical Sciences Research Council (EPSRC)GR/S91024/01Aerospace Sciences