H(infinity) Control of Nonlinear Systems: A Class of Controllers

Abstract

Abstract The standard state space solutions to the Em control problem for linear time invariant systems are generalized to nonlinear time-invariant systems. A class of nonlinear -controllers are parameterized as nonlinear fractional transformations on contractive, stable free nonlinear parameters. As in the linear case, the E, control problem is solved by its reduction to four simpler special state space problems, together with a separation argument. Another byproduct of this approach is that the sufficient conditions for control problem to be solved are also derived with this machinery. The solvability for nonlinear H infinity-control problem requires positive definite solutions to two parallel decoupled Hamilton-Jacobi inequalities and these two solutions satisfy an additional coupling ' condition. An illustrative example, which deals with a passive plant, is given at the end.

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Document Details

Document Type
Technical Report
Publication Date
May 13, 1993
Accession Number
ADA463068

Entities

People

  • John Doyle
  • Wei-min Lu

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Calculus Of Variations
  • Closed Loop Systems
  • Control Systems
  • Control Theory
  • Convex Sets
  • Dissipation
  • Equations
  • Feedback
  • Gain
  • Inequalities
  • Linear Systems
  • Lyapunov Functions
  • Mathematical Programming
  • Nonlinear Systems
  • Numbers
  • Riccati Equation
  • Standards

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Operations Research

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers