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Geometry and Inverse Optimality in Global Attitude Stabilization
Theproblemofgloballystabilizingtheattitudeofarigidbodyisconsidered.Topologicalandgeometricproperties of the space of rotations relevant to the stabilization problem are discussed. Chevalley' sExpand
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Timescale Analysis for Nonlinear Dynamical Systems
Insight into the behavior and simplie ed control of a nonlinear dynamical system can be gained by analyzing the timescale structure. Near an equilibrium point, the eigenvalues and eigenvectors forExpand
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ENTRY TRAJECTORY TRACKING LAW VIA FEEDBACK LINEARIZATION
Asasteptowardextendingthetwo-dimensional(longitudinal)entrypredictive/trackingguidanceschemeusedby the U.S. Space Shuttle Orbitertothreedimensions, a control law fortrackinga three-dimensionalExpand
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Achieving good performance in global attitude stabilization
TLDR
The problem of globally stabilizing the attitude of a rigid body is considered. Expand
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Identifying Time-Scale Structure for Simplified Guidance Law Development
Guidance law development for aerospace vehicles can be significantly simplified by reducing the order of the vehicle dynamic model. Identifying timescale separation in the system dynamics isExpand
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Re-entry trajectory planning for a reusable launch vehicle
TLDR
The Shuttle's two-dimensional entry trajectory planning method is extended to threedimensions. Expand
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A new invariance property of Lyapunov characteristic directions
Lyapunov exponents and direction fields are used to characterize the time-scales and geometry of general linear time-varying (LTV) systems of differential equations. We bring to light new invarianceExpand
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Tracking Law for A New Entry Guidance Concept
TLDR
Introduction A new entry guidance concept is developed for an unpowered lifting vehicle. Expand
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Geometric structure of multiple time-scale nonlinear systems
Abstract The geometric structure of finite-dimensional nonlinear systems with dynamics on multiple time-scales is studied by analyzing the time-scale structure present in the associated linearExpand
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