MATHEMATICS COLLOQUIUM
Speaker: Nandam Kumar Sinha.
Title: Bifurcation Analysis and Control of Aircraft
Flight Dynamics in Constrained Trims.
Affiliation: IIT - Bombay, India.
Date: Friday, September 27, 2002.
Place and Time: Room 101 - Love Building, 3:35-4:30 pm.
Refreshments: Room 204 - Love Building, 3:00 pm.
Abstract.
A standard bifurcation analysis (SBA) technique, which requires one of the
control parameters of a dynamical system to vary in a continuation and other
control parameters to be kept fixed, has been extensively used in the past
to investigate nonlinear behavior of a large class of dynamical systems.
However, it is found that the SBA methodology is not adequate for
bifurcation analysis of constrained dynamics of dynamical systems, which
essentially requires manipulation of more than one control parameter at a
time. As most of the dynamical systems are often required to perform under
some constrained conditions while being free to manipulate all the controls
available, it becomes justifiable to look for a bifurcation analysis
methodology that would allow investigation of such constrained conditions.
An extended bifurcation analysis (EBA) methodology is developed for this
purpose, and illustrated with application to investigate constrained flights
of an aircraft. The analysis carried out by using the EBA technique closely
resembles the actual physical conditions. Further, application of the EBA
methodology in bifurcation control is explored, and illustrated with design
of flight control laws; both, control interconnect and feedback laws. It is
found that the EBA technique provides an efficient and economical way to
design controllers that are based on intuitive ideas.
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