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Control and Power Portfolio Partnership
Control and Stability Analysis of Two-Wheeled Road Vehicles
Research Objectives: The broad purpose of our research is to use mathematical
models to study the stability and response behaviour of single-track road vehicles.
We aim to develop new classes of mathematical models that are in advance of
those currently available in the art. We will use these models to study nonlinear
instability phenomena that occasionally occur in motorcycles with catastrophic
consequences for the rider. More particularly, we aim:
- to improve on existing computer
models for motorcycle stability, steering and road profile response;
- to use these models to further
the current understanding of straight running stability;
- to use these models to determine
steady turning equilibrium states and to determine small perturbation stability
properties relative to these equilibria;
- to incorporate road profile
features into our motorcycle models and to study the dynamic behaviour of
the machine when it is excited this way. These simulations will be used
to find those circumstances most likely to cause large and dangerous responses.
- to discover the underlying
mechanisms which result in various forms of nonlinear instabilities. These
instabilities appear in practice and give rise to substantial difficulties
of control and danger to riders.
- to use our simulation models
to discover those aspects of the motorcycle design which limit its speed
of response to steering torque inputs and to thereby better understand the
problem of trading off stability for speed of response. In its linear form,
this is a classical control theoretic problem.
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