Flight dynamics and optimal design of a tethered satellite with wings in free molecular flow

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/77372/1/AIAA-1993-96-412.pd

The Michigan aero instructional software project - TODOR meets the world-wide web

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76121/1/AIAA-1998-2790-621.pd

The Method of Averaging for Euler's Equations of Rigid Body Motion

We formulate the method of averaging for perturbations of Euler's equations of rotational motion. Euler's equations are three strongly nonlinear coupled differential equations that can be viewed as a three dimensional oscillator. The method of averaging is used to determine the long-term influence of perturbation terms on the motion by averaging about the nominal rigid body motion. The treatment is applicable to a large class of motions including precession with large nutation – it is not restricted to small motions about simple spins or nearly axi-symmetric bodies. Three examples are shown that demonstrate the accuracy of the method's predictions.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/43321/1/11071_2004_Article_140889.pd

A BENCHMARK PROBLEM FOR NONLINEAR CONTROL DESIGN

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57785/1/BenchmarkIJRNCproblemIJRNC1998.pd

EXPERIMENTAL IMPLEMENTATION OF INTEGRATOR BACKSTEPPING AND PASSIVE NONLINEAR CONTROLLERS ON THE RTAC TESTBED

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57811/1/BenchmarkIJRNCBuppIJRNC1998.pd

Adaptive Asymptotic Tracking of Spacecraft Attitude Motion with Inertia Matrix Identification

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57789/1/AhmedSCAdaptiveControlJGCD1998.pd

Adaptive Autocentering Control for an .Active Magnetic Bearing Supporting a Rotor with Unknown Mass Imbalance

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57790/1/LumAutocenteringTCST1996.pd

Global Asymptotic Stabilization of a Spinning Top With Torque Actuators Using Stereographic Projection

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57817/1/CJWan1997.pd

Phugoid motion for grazing-entry trajectories at near-circular speeds

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/77023/1/AIAA-26742-801.pd

Synchronization of perturbed non-linear Hamiltonians

We propose a new method based on Lie transformations for simplifying perturbed Hamiltonians in one degree of freedom. The method is most useful when the unperturbed part has solutions in non-elementary functions. A non-canonical Lie transformation is used to eliminate terms from the perturbation that are not of the same form as those in the main part. The system is thus transformed into a modified version of the principal part. In conjunction with a time transformation, the procedure synchronizes the motions of the perturbed system onto those of the unperturbed part.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/42559/1/10569_2004_Article_BF00692993.pd