ON THE 'ADIABATIC APPROXIMATION' FOR DESIGN OF CONTROL LAWS FOR LINEAR, TIME-VARYING SYSTEMS.

Bernard Friedland, Jack Richman, Douglas E. Williams

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

Control laws are often designed for linear, time-varying processes by solving the algebraic Riccati equation for the optimum control law at each instant of time. Such designs may be called adiabatic approximations. Although they are not optimum, they can result in closed-loop systems which perform well. The stability of systems designed using the adiabatic approximation can be assessed by the second method of Lyapunov. Stability is assured if a readily computed test matrix, F, which depends on the rate of change of the parameters of the system, is negative-definite.

Original languageEnglish (US)
Pages (from-to)62-63
Number of pages2
JournalIEEE Transactions on Automatic Control
VolumeAC-32
Issue number1
DOIs
StatePublished - Jan 1 1987
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'ON THE 'ADIABATIC APPROXIMATION' FOR DESIGN OF CONTROL LAWS FOR LINEAR, TIME-VARYING SYSTEMS.'. Together they form a unique fingerprint.

Cite this