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Delay-dependent stabilization of a class of nonlinear time-delay systems with time-varying input and state delays

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3 Author(s)
Luna, J.M. ; Electr. & Comput. Eng. Dept., Univ. of New Mexico, Albuquerque, NM, USA ; Abdallah, C.T. ; Erwin, R.S.

In this paper we provide stabilization criteria for a class of nonlinear systems with time-varying state and input delays. The nonlinear system is assumed to be separable into a nominal linear part and an additive nonlinear perturbation satisfying the linear growth constraint. The time-varying delays as well as their time derivatives are assumed to be bounded above. A linear state-feedback controller is chosen to close the control loop. The validation of this approach is carried out through two simulation examples. The first example uses a theoretical model with all the conditions established in our main result. The second simulation consists of an attitude control problem using Modified Rodrigues Parameters.

Published in:

American Control Conference (ACC), 2012

Date of Conference:

27-29 June 2012