H(Infinity) Optimal Control Theory Over a Finite Horizon.

Abstract

In this report a finite horizon H infinity optimal control problem is treated. Results guaranteeing the existence of a unique optimal control and the worst exogenous input are derived. A criterion for the evaluation of the infimal H infinity norm is then given in terms of the least positive value for which a certain boundary value problem has a nontrivial solution. Once the infimal value is known, a noninfimal value can be selected and suboptimal H controllers can be synthesized. The problem of synthesizing suboptimal H controllers is also considered in a very general case. Without making use of any transformations, expressions for the output feedback controller are derived in terms of solutions of two dynamic Riccati equations. In the time-invariant case, the solutions of these equations usually converge to constant matrices.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1991
Accession Number
ADA240898

Entities

People

  • M. B. Subrahmanyam

Organizations

  • Naval Air Warfare Center Warminster

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aircrafts
  • Boundaries
  • Boundary Value Problems
  • Computations
  • Computers
  • Control Systems
  • Control Theory
  • Convergence
  • Differential Equations
  • Digital Computers
  • Equations
  • Feedback
  • Flight Control Systems
  • Inequalities
  • Riccati Equation
  • Three Dimensional
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

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