Direct Methodology for Constrained System Analysis with Applications to Aircraft Dynamics
Anuj S. Vora,Nandan K. Sinha +1 more
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TLDR
Tools based on the bifurcation and continuation method have been found to be extremely useful for studying multiparameter nonlinear dynamical systems under state and parameter-constrained condition.Abstract:
Tools based on the bifurcation and continuation method have been found to be extremely useful for studying multiparameter nonlinear dynamical systems under state and parameter-constrained conditionread more
Citations
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Routes to chaos in the post-stall dynamics of higher-dimensional aircraft model
G. Rohith,Nandan K. Sinha +1 more
TL;DR: Using tools from nonlinear dynamics based on bifurcation analysis, phase portrait, Poincaré map and amplitude spectrum analysis techniques, existence of quasi-periodic, period-doubling and intermittency routes to chaos are established in the post-stall dynamics of an F-18 High-Alpha Research Vehicle model with external steady wind as the driving agent.
Journal ArticleDOI
Improved pilot training via bifurcation analysis and robust control for aircraft loss of control problems
G. Rohith,Nandan K. Sinha +1 more
TL;DR: A simulator for improved pilot training based on bifurcation and continuation techniques is presented and a robust control-based loss of control handling module is also presented for developing non-intuitive strategies for Loss of control prevention and recovery.
Dissertation
A methodology for predicting and mitigating loss of control incidents for general aviation aircraft
Nonlinearity Index Aircraft Spin Motion Analysis With Dynamic Inversion Spin Recovery Controller Design
TL;DR: Newman et al. as mentioned in this paper extended the previous work of Tapolcai utilizing nonlinearity index theory to quantitatively analyze nonlinearities in an aircraft model and to augment these undesirable nonlinear characteristics with feedback control.
References
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Book
Nonlinear dynamics and Chaos
TL;DR: The logistic map, a canonical one-dimensional system exhibiting surprisingly complex and aperiodic behavior, is modeled as a function of its chaotic parameter, and the progression through period-doubling bifurcations to the onset of chaos is considered.
Book
Aircraft Control and Simulation
Brian L. Stevens,Frank L. Lewis +1 more
TL;DR: Equations of Motion Building the Aircraft Model Basic Analytical and Computational Tools Aircraft Dynamics and Classical Design Techniques Modern Design Techniques Robustness and Multivariable Frequency-Domain Techniques Digital Control Appendices Index.
AUTO-07p: Continuation and bifurcation software for ordinary differential equations
Eusebius J. Doedel,Alan R Champneys,Fabio Dercole,T. F. Fairgrieve,Yu. A. Kuznetsov,B. Oldeman,Randy Paffenroth,Björn Sandstede,X. J. Wang,C. H. Zhang +9 more
Journal ArticleDOI
MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs
TL;DR: The sparsity of the discretized systems for the computation of limit cycles and their bifurcation points is exploited by using the standard Matlab sparse matrix methods.
Book
Flight Stability and Automatic Control
TL;DR: In this article, the authors present a mathematical review of Laplace transforms and matrix algebra for control system analysis techniques for aircraft Autopilot design and demonstrate the application of classic control theory to aircraft autopilot designs.