Attenuation of Persistant Laplace Transform (infinity)-Bounded Disturbances for Nonlinear Systems

Abstract

A version of nonlinear generalization of the Laplace transform(exp 1)-control problem, which deals with the attenuation of persistent bounded disturbances in Laplace transform(infinity)-sense, is investigated in this paper. The methods used in this paper are motivated by Shamma(1994). The main idea in the Laplace transform (exp 1)-performance analysis and synthesis is to construct a certain invariant subset of the state-space such that achieving disturbance rejection is equivalent to restricting the state-dynamics to this set. The concepts from viability theory, nonsmooth analysis, and set-valued analysis play important roles. In addition, the relation between the Laplace transform (exp 1)-control of a continuous-time system and the Laplace transform (exp 1)-control of its Euler approximated discrete-time systems is established.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1995
Accession Number
ADA464629

Entities

People

  • John M. Doyle
  • Wei-min Lu

Organizations

  • California Institute of Technology

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Attenuation
  • Banach Space
  • Closed Loop Systems
  • Control Systems
  • Convex Sets
  • Difference Equations
  • Differential Equations
  • Electrical Engineering
  • Engineering
  • Equations
  • Feedback
  • Inclusions
  • Linear Systems
  • Losses
  • Nonlinear Systems
  • Theorems

Fields of Study

  • Engineering
  • Mathematics

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  • Calculus or Mathematical Analysis
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