Partial asymptotic stabilization of nonlinear distributed parameter systems (Q705430)
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scientific article; zbMATH DE number 2131531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Partial asymptotic stabilization of nonlinear distributed parameter systems |
scientific article; zbMATH DE number 2131531 |
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Partial asymptotic stabilization of nonlinear distributed parameter systems (English)
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31 January 2005
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The paper develops the problems of modelling and control for mechanical systems consisting of coupled absolutely rigid and elastic parts. First, the author considers the abstract Cauchy problem in a Banach space and proves the basic results on partial asymptotic stability. Then he establishes a mathematical model of a hybrid system consisting of a rigid body and several elastic beams. Within the framework of the Lagrangian formalism, he obtains the equations of motion for such an infinite-dimensional system. To this model he applies the above results, develops a stabilizing feedback law, and establishes sufficient conditions for asymptotic stability and stabilizability. Finally, some simulation results are presented.
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stabilization
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nonlinear control
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partial stability
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Lyapunov function
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infinite-dimensional systems
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coupled rigid and elastic parts
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hybrid system
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rigid body
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elastic beams
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