Robust Optimal Digital Control of Uncertain Multi-Rate Sampled-Data Systems

Abstract

This report presents a new digital redesign method for robust control of a sampled data uncertain system using an observer based digital controller. The multiple segment trapezoidal rule together with interval arithmetic is utilized to find a digital interval model of the original continuous time uncertain system. A dual concept of the digital interval modeling which captures the intersample states of the original continuous time uncertain system is used to discretize a predesigned continuous time state feedback robust controller so that the states of the digitally controlled continuous time uncertain system closely match those of the original analogously controlled continuous time uncertain system. A discrete time observer is constructed from the original continuous time observer such that the estimated states of the redesigned discrete time observer match those of the original continuous time observer at the sampling instants. Using the newly digitally redesigned observer based controllers, the resulting dynamic states of the digitally controlled sampled data uncertain systems are able to closely match those of the original analogously controlled continuous time uncertain systems.

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Document Details

Document Type
Technical Report
Publication Date
Jan 31, 1998
Accession Number
ADA344559

Entities

People

  • Chen Guanrong
  • Leang-san Shieh

Organizations

  • University of Houston

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Classification
  • Computer Science
  • Control
  • Control Systems
  • Control Theory
  • Conversion
  • Electronics
  • Feedback
  • Intervals
  • Linear Systems
  • Observers
  • Power Converters
  • Probability Distributions
  • Simulations
  • Systems Science
  • Time Intervals

Readers

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