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Decomposition of existence and stability analysis of periodic solutions of systems with impacts: Application to bipedal walking robot

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3 Author(s)
L. Fridman ; Department of Control, Division of Electrical Engineering, National Autonomous University of Mexico UNAM, Mexico D.F., Mexico ; Y. Aoustin ; F. Plestan

The decomposition of the problem of existence and stability for fast periodic solutions of singularly perturbed nonlinear systems with the impact effects is considered. With this aim, theorem for existence and stability of fixed points for corresponding Poincare sections is proved. These results are applied for the decomposition of the control design problem for bipedal robots with heavy torsos.

Published in:

Decision and Control, 2008. CDC 2008. 47th IEEE Conference on

Date of Conference:

9-11 Dec. 2008