Control of nonlinear systems with Markovian parameter changes

Author

Mariton, M.

Author_Institution

Matra Sep Imagerie et Informatique, St. Quentin-en-Yvelines, France

Volume

36

Issue

2

fYear

1991

fDate

2/1/1991 12:00:00 AM

Firstpage

233

Lastpage

238

Abstract

The control of hybrid systems in which a totally observed state process is generated by a nonlinear stochastic differential equation whose parameters are functions of a random jump process called the plant regime is considered. Regime transitions typically represent target maneuvers in a tracking system. The control task is split between a jump detection and identification (JDI) filter and a discrete adaption, or reconfiguration. A design that takes into account the errors of the JDI device and the plant nonlinearities to produce a near-optimal passively adaptive control law with an easily implemented affine structure is presented

Keywords

Markov processes; adaptive control; control nonlinearities; filtering and prediction theory; nonlinear control systems; nonlinear differential equations; optimal control; stochastic systems; JDI filter; Markovian parameter changes; affine structure; control; hybrid systems; jump detection; near-optimal passively adaptive control law; nonlinear stochastic differential equation; plant nonlinearities; plant regime; random jump process; target maneuvers; totally observed state process; tracking system; Adaptive control; Control systems; Differential equations; Error correction; Filters; Hybrid power systems; Nonlinear control systems; Nonlinear systems; Stochastic systems; Target tracking;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.67303

Filename

67303