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Minimax State/Residual-Energy Constrained Shapers for Flexible Structures: Linear Programming Approach
Authors
Vossler, M.,and Singh, T.
Source
ASME Journal of Dynamic Systems, Measurement and Control,
132(3).
Abstract
The focus of this paper is on the design of shaped profiles subject to transient state
constraints and terminal energy limits. The issue of robustness to modeling errors is
addressed by formulating a minimax optimization problem in a linear programming
framework, permitting the generation of near-globally optimal shaped profiles. To illustrate
the proposed technique, a deflection-limited/residual energy constrained, controller
design for flexible structures undergoing rest-to-rest maneuvers will be presented. Techniques
for improving robustness by the addition of state sensitivity equations, which
increases the robustness in the vicinity of the nominal model, are explored. Results for the
benchmark oscillator illustrate the benefit of the proposed approach over traditional
designs.
@article{Singh10_DSMC,
Author = {M. Vossler and T. Singh},
Journal = {ASME Journal for Dynamic Systems, Measurement and Control},
Month = {March},
Title = {Minimax State/Residual-Energy Constrained Shapers for Flexible Structures: Linear Programming Approach},
Volume = {132},
Number = {3},
Year = {2010}
}
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