Model Reduction and Robust Control
People
Description
Engineers commonly use reduced models for controller design. Without guarantees
about the interaction of the neglected dynamics with the feedback control law,
testing and intuition must be relied on for confidence in the performance of the
overall system. This research seeks to develop a framework wherein the validity
of reduced models and restrictions resulting from reduction can be rigorously
treated. Focusing on Lagrangian systems, we study the robustness of feedback
control laws designed for reduced models when applied to the actual systems
(from which the reduced models were derived). We hope to complement existing
work on robust nonlinear control and Lagrangian systems.
An application for this research arises in the design of heavy trucks for safe
performance. Advanced Vehicle Control Systems (AVCS) - in the form of either
driver assistance systems or full automation - hold considerable promise for
increasing heavy vehicle safety. Unfortunately, the complexity of truck dynamics
makes it difficult to determine exactly what constitutes a safe truck and, even
more so, to realize the benefits of implementing advanced control systems on
such vehicles. The initial goal of the project is to establish a framework of
performance measures that successfully cover the range of often competing safety
demands (such as yaw stability, rollover avoidance, and stopping distance) faced
by heavy trucks. These performance measures will provide a basis for evaluating
the safety benefits of active systems designed using reduced models. Being able
to quantify the uncertainties introduced by model reduction will lead to greater
confidence in the controller designs.
Results
Our first task was to build a library of
references containing information on heavy truck mechanical
properties. These resources will provide realistic parameters for
simulation and model evaluation.
We have compiled a list of common heavy truck safety performance measures along with test maneuvers
used by industry and researchers to evaluate these measures.
For future model reduction work, we have developed a baseline model of a
tractor semi-trailer combination using ADAMS dynamic analysis software
(below right, truck beginning to roll over). The model accurately
represents the PATH experimental vehicle, a Freightliner FLD120 tractor
with 45-foot semi-trailer (below left, photo taken at test site in Crow's
Landing, CA).
Reports and Publications
Sponsors
Work in Progress
We are currently validating the ADAMS heavy truck model by comparing
simulation results to actual test data from the PATH vehicle.
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