On a Class of Minimum Energy Controls Related to Spline Functions

Abstract

The problem of determining a minimum energy control for a dynamically interconnected set of p single-input single out-put finite-dimensional linear time-varying dynamical systems, for which the outputs are constrained to assume prescribed values at different points in time is considered. It is shown that the solution (optimal controller) is obtained by performing a linear operation on an appropriate vector-valued generalized interpolating spline.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1975
Accession Number
ADA027846

Entities

People

  • A. N. Netravali
  • R. J. Defigueiredo

Organizations

  • Rice University

Tags

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Approximation Theory.