Aiming Control.
Abstract
The problem of aiming control is formulated as the problem of residence time controllability in dynamical systems with stochastic perturbations. The solution is given for linear systems with small, additive, white noise perturbation. It is shown that the existence of the desired aiming controller depends on the relationship between the column spaces of the control and noise matrices. If the former includes the latter, any precision of aiming is possible. If this inclusion does not occur, the precision is bounded, and we give lower and upper estimates of this bound. For each of these cases, aiming controller design techniques are suggested and illustrative examples are considered. The development is based on an asymptotic version of the large deviations theory.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1987
- Accession Number
- ADA188464
Entities
People
- S. M. Meerkov
- T. Runolfsson
Organizations
- University of Michigan