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Dynamic programming for impulse controls

Authors
Publisher
Elsevier Ltd
Publication Date
Volume
32
Issue
2
Identifiers
DOI: 10.1016/j.arcontrol.2008.08.001
Keywords
  • Closed-Loop Impulse Control
  • Feedback Strategy
  • Dynamic Programming
  • Variational Inequality
  • Generalized Controls
  • High-Order Impulses
  • Nonlinear Analysis
  • Bang-Bang Control
  • Fast Controls
  • Oscillating Systems
  • Finite Time
Disciplines
  • Computer Science

Abstract

Abstract This paper describes the theory of feedback control in the class of inputs which allow delta-functions and their derivatives. It indicates a modification of dynamic programming techniques appropriate for such problems. Introduced are physically realizable bang-bang-type approximations of the “ideal” impulse-type solutions. These may also serve as “fast” feedback controls which solve the terminal control problem in arbitrary small time. Examples of damping high-order oscillations in finite time are presented.

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