Computational Nonlinear Control.

Abstract

The goals of this research project were the development of control and estimation algorithms for nonlinear systems which are computationally feasible with robust performance despite numerical and modeling errors. The approach was based on the recent generalization of linear worst case (H-infinity) controllers to nonlinear systems. The construction of nonlinear H-infinity controllers depends on the solution of two PDE's of Hamilton-Jacobi type. The first is the one associated with the problem of H-infinity suboptimal control by state feedback that has appeared previously in the work of several authors. Numerical methods to compute a Taylor series solution term by term have been developed. The second PDE is a new Hamilton Jacobi equation associated with H-infinity suboptimal estimation. A hybrid computational method to solve such problems has been developed.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1997
Accession Number
ADA326104

Entities

People

  • Arthur J. Krener

Organizations

  • University of California

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Computational Science
  • Computations
  • Differential Equations
  • Dynamics
  • Equations
  • Feedback
  • Mathematics
  • Nonlinear Systems
  • Observation
  • Observers
  • Riccati Equation

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis