Near- Optimal State Estimation for Interconnected Systems.

Abstract

A new algorithm is proposed for estimating the state of a nonlinear stochastic system when only noisy observations of the state are available. The state estimation problem is formulated as a modal-trajectory maximum-likelihood estimation problem. The resulting minimization problem is analogous to the nonlinear tracking problem in optimal control theory. By viewing the system as an interconnection of lower-dimensional subsystems and applying the so-called epsilon-coupling technique, which originated in the study of the sensitivity of control systems to parameter variations, a near-optimal state estimation algorithm is derived which has the properties that all computations are performed at the subsystem level and only linear equations need to be solved. The principal attraction of the method is that significant reductions in the computational requirements relative to other approximate algorithms can be achieved when the system is large-dimensional. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1973
Accession Number
AD0764111

Entities

People

  • Terry B. Cline

Organizations

  • Iowa State University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computations
  • Control Systems
  • Control Theory
  • Couplings
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Maximum Likelihood Estimation
  • Observation
  • Sensitivity
  • Trajectories

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Statistical inference.