Hoo Control of Nonlinear Systems: A Convex Characterization

Abstract

The so-called nonlinear X,-control problem in state space is considered with an emphasis on developing machinery with promising computational properties. Both state feedback and output feedback %,-control problems for a class of nonlinear systems are characterized in terms of continuous positive definite solutions of algebraic nonlinear matrix inequalities which are convex feasibility problems. The issue of existence of solutions to these nonlinear matrix inequalities (NLMIs) is justified.

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Document Details

Document Type
Technical Report
Publication Date
Oct 22, 1993
Accession Number
ADA464337

Entities

People

  • John Doyle
  • Wei-min Lu

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Banach Space
  • Closed Loop Systems
  • Control Theory
  • Convex Sets
  • Differential Equations
  • Electrical Engineering
  • Equations
  • Feedback
  • Inequalities
  • Lyapunov Functions
  • Materials
  • Nonlinear Systems
  • Numbers
  • Partial Differential Equations
  • Real Numbers
  • Standards
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Operations Research

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers