Discontinuous control of the Brockett integrator

The problem of asymptotic stabilization of the Brockett integrator (1983) has been addressed and solved in the last years with a variety of methods and approaches. In particular several discontinuous control laws guaranteeing exponential convergence in an open and dense set have been proposed. In th...

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Published inProceedings of the 36th IEEE Conference on Decision and Control Vol. 5; pp. 4334 - 4339 vol.5
Main Author Astolfi, A.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1997
Subjects
Control systems
Convergence
Educational institutions
Equations
Feedback
Kinematics
Nonlinear control systems
Satellites
Signal design
Systems engineering and theory
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ISBN0780341872
9780780341876
ISSN0191-2216
DOI10.1109/CDC.1997.649532

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Abstract The problem of asymptotic stabilization of the Brockett integrator (1983) has been addressed and solved in the last years with a variety of methods and approaches. In particular several discontinuous control laws guaranteeing exponential convergence in an open and dense set have been proposed. In this work we show that all such discontinuous controllers can be obtained as special cases of a more general class of controllers. Furthermore, the problem of stabilization with bounded control is also discussed and solved. Finally, we address the problem of controlling the kinematic model of an under-actuated satellite.
AbstractList The problem of asymptotic stabilization of the Brockett integrator (1983) has been addressed and solved in the last years with a variety of methods and approaches. In particular several discontinuous control laws guaranteeing exponential convergence in an open and dense set have been proposed. In this work we show that all such discontinuous controllers can be obtained as special cases of a more general class of controllers. Furthermore, the problem of stabilization with bounded control is also discussed and solved. Finally, we address the problem of controlling the kinematic model of an under-actuated satellite.
Author Astolfi, A.
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Snippet The problem of asymptotic stabilization of the Brockett integrator (1983) has been addressed and solved in the last years with a variety of methods and...
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StartPage 4334
SubjectTerms Control systems
Convergence
Educational institutions
Equations
Feedback
Kinematics
Nonlinear control systems
Satellites
Signal design
Systems engineering and theory
Title Discontinuous control of the Brockett integrator
URI https://ieeexplore.ieee.org/document/649532
Volume 5
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