Global Asymptotic Controllability Implies Input to State Stabilization

Abstract

The main problem addressed in this paper is the design of feedbacks for globally asymptotically controllable (GAC) control affine systems that render the closed loop systems input to state stable with respect to actuator errors. Extensions for fully nonlinear GAC systems with actuator errors are also discussed. Our controllers have the property that they tolerate small observation noise as well.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2005
Accession Number
ADA437316

Entities

People

  • Eduardo D. Sontag
  • Ludovic Rifford
  • Michael Malisoff

Organizations

  • Rutgers University–New Brunswick

Tags

DTIC Thesaurus Topics

  • Actuators
  • Applied Mathematics
  • Closed Loop Systems
  • Control Systems
  • Control Theory
  • Dynamics
  • Equations
  • Feedback
  • Inequalities
  • Integrators
  • Lyapunov Functions
  • Mathematics
  • Nonlinear Dynamics
  • Nonlinear Systems
  • Observation
  • Sampling
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.