A Robust Stability and Control Theory for Hybrid Dynamical Systems

Abstract

The objectives of this work are 1) to develop a robust stability theory for hybrid dynamical systems, both in continuous time and discrete time, including a complete theory on the existence of smooth Lyapunov functions (which are the major workhorse for the analysis of non-hybrid dynamical systems) for hybrid systems; 2) to exploit this theory in developing tools for the design of robust feedback control algorithms for hybrid dynamical systems; and 3) to apply the developed control concepts to problems relevant to the Army's mission, ie.g., autonomous vehicles and network centric control.

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Document Details

Document Type
Technical Report
Publication Date
Sep 30, 2006
Accession Number
ADA470821

Entities

People

  • Andrew R. Teel
  • João P. Hespanha

Organizations

  • University of California, Santa Barbara

Tags

Communities of Interest

  • Human Systems
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Automatic
  • Autonomous Vehicles
  • Calculus Of Variations
  • Collision Avoidance
  • Control Systems
  • Control Theory
  • Difference Equations
  • Differential Equations
  • Equations
  • Feedback
  • Hybrid Systems
  • Lyapunov Functions
  • Nonlinear Systems
  • Systems Engineering
  • Time Domain

Fields of Study

  • Mathematics

Readers

  • Joint Military Operations and Doctrine.
  • Mathematical Modeling and Probability Theory.
  • Robotics and Automation.

Technology Areas

  • Autonomy
  • Autonomy - Autonomous System Control