Kth -Order Extended Linearization.

Abstract

For a given nonlinear system, consider the design of a nonlinear control law such that the following properties hold. First, as in the extended linearization method, linearizations of the closed-loop system about constant operating points of the closed-loop system achieve specified, linear design objectives. Second, the Taylor series expansion of the closed-loop state equation about any constant operating point is such that terms of order 2, 3..., k are zero. or at least are minimized in a certain sense. Conditions under which this can be achieved, while simple to state, are restrictive. Keywords: Nonlinear Control Systems; Control Theory.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1988
Accession Number
ADA194786

Entities

People

  • Jianliang Wang
  • Wilson J. Rugh

Organizations

  • Johns Hopkins University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Closed Loop Systems
  • Control Systems
  • Control Theory
  • Differential Equations
  • Electrical Engineering
  • Engineering
  • Equations
  • Equations Of State
  • Feedback
  • Linear Systems
  • Nonlinear Systems
  • Notation
  • Observers
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Software Engineering