Residence time control

Author

Meerkov, Semyon M. ; Runolfsson, Throdur

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA

Volume

33

Issue

4

fYear

1988

fDate

4/1/1988 12:00:00 AM

Firstpage

323

Lastpage

332

Abstract

The problem of residence time controllability in dynamical systems with stochastic perturbations is formulated. The solution is given for linear systems with small, additive, white-noise perturbation. It is shown that the existence of the desired residence time controller depends on the relationship between the column spaces of the control and noise matrices. If the former includes the latter, any residence time is possible. If this inclusion does not occur, the achievable residence time is bounded: lower and upper estimates of this bound are given. For each of these cases, controller-design techniques are suggested and illustrative examples are considered. The development is based on an asymptotic version of the large deviations theory

Keywords

control system synthesis; controllability; linear systems; perturbation techniques; controller-design; dynamical systems; linear systems; noise matrices; residence time controllability; stochastic perturbations; white-noise perturbation; Aircraft; Automatic control; Control systems; Control theory; Controllability; Laser beams; Linear systems; Modems; Size control; Stochastic systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.192186

Filename

192186