Sliding-mode control design for a class of systems with non-matching nonlinearities and disturbances

  • Authors:

  • Bill M. Diong

  • Affiliations:

  • Department of Electrical and Computer Engineering, The University of Texas at EI Paso, EI Paso, Texas

  • Venue:
  • International Journal of Systems Science
  • Year:
  • 2004

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Abstract

A novel sliding-mode control design is proposed for the class of single-input nonlinear systems with non-matching nonlinearities and/or disturbances. This class of systems includes dual-spin spacecraft and rotational proof mass actuators that are used for suppressing translational oscillation. The sliding-mode control law is designed via an L2-norm bounding technique that ensures, under certain conditions, asymptotic stability of the system when the disturbances satisfy the matching condition or are zero; otherwise, it ensures system stability with an a priori bound on the transmission gain of the disturbances through the system for non-zero non-matching disturbances. Simulation results for a rotational proof mass actuator or dual-spin spacecraft example illustrate the excellent responses obtained by applying the control laws derived from this proposed design procedure.