Brief Control of linear jump systems in noise

  • Authors:

  • David D. Sworder;John E. Boyd

  • Affiliations:

  • Department of Electrical and Computer Engineering, University of California, San Diego, La Jolla, CA 92093-0407, USA;Cubic Defense Systems, Inc., 9333 Balboa Ave Box 85587, San Diego, CA 92186, USA

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1999

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Abstract

The equations of state evolution of a linear-jump system have a hybrid structure in which a modal-state process indexes the model of dynamic evolution of the base state. When the state measurements are noisy, the intrinsic nonlinearities in the system make it difficult to achieve acceptable performance with control algorithms based upon conventional estimators. Effective control reconfiguration requires that the correlation between the state and modal errors be computed. This paper presents an estimation algorithm that can be used in this context. It is shown by an example that closed-loop performance is improved when certain cross moments are utilized.