Worst-Case Design of Optimal Controllers Over a Finite Horizon

Abstract

A worst-case optimal control problem is posed and solved making use of a minimax formulation. The emphasis is on the synthesis of optimal controllers whereas the usual H infinity methods give conditions for the synthesis of suboptimal ones. The solution for the nonzero initial condition case is expressed as a state feedback controller. Two dynamic Riccati equations need to be solved to synthesize the optimal controller in this case. Also formulas giving the variation in performance in terms of parameter variations are derived.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1991
Accession Number
ADA232353

Entities

People

  • M. B. Subrahmanyam

Organizations

  • Naval Air Warfare Center Warminster

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Aircrafts
  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Computations
  • Degradation
  • Engineering
  • Equations
  • Feedback
  • Integrals
  • Intervals
  • Linear Systems
  • Mathematical Analysis
  • New York
  • Numbers
  • Riccati Equation
  • Theorems

Readers

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