H (infinity) Control for Impulsive Disturbances: A State-Space Solution

Abstract

In this paper we formulate and study an interesting (sub)optimal H(at infinity) control problem related to the attenuation of impulsive disturbances to a class of linear systems. Among the motivating factors is the need to study control problems related to mechanical systems subject to impulsive forces, e.g. active control of the suspension system of a vehicle, accurate pointing of guns, stabilization of an antenna on the space station subject to impact from space debris, or active damping of vibrations of flexible structures caused by impact forces. A reasonable control objective in all these problems is to design a stabilizing controller to minimize the induced operator norm from the impulsive disturbances to the controlled outputs. We derive necessary and sufficient conditions for the existence of a (sub)optimal controller, and give a procedure to compute such a controller when one exists.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1994
Accession Number
ADA455581

Entities

People

  • P.S.Krishnaprasad
  • Q. F. Wei
  • W. P. Dayawansa

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Electrical Engineering
  • Engineering
  • Flexible Structures
  • Information Operations
  • Linear Systems
  • Military Research
  • Space Debris
  • Space Stations
  • Universities

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Explosive Engineering.
  • Structural Dynamics.

Technology Areas

  • Space
  • Space - Orbital Debris
  • Space - Spacecraft Maneuvers