Accession Number:

ADA464629

Title:

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

Descriptive Note:

Technical memo.

Corporate Author:

CALIFORNIA INST OF TECH PASADENA CONTROL AND DYNAMICAL SYSTEMS

Personal Author(s):

Report Date:

1995-01-01

Pagination or Media Count:

33.0

Abstract:

A version of nonlinear generalization of the Laplace transformexp 1-control problem, which deals with the attenuation of persistent bounded disturbances in Laplace transforminfinity-sense, is investigated in this paper. The methods used in this paper are motivated by Shamma1994. 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.

Subject Categories:

  • Numerical Mathematics
  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE