Stabilisation and control of a class of discrete-time nonlinear stochastic output-dependent system with random missing measurements

Authors

Mehrdad Saif, University of Windsor
Bing Liu, University of Windsor
Huijin Fan, Huazhong University of Science and Technology

Document Type

Article

Publication Date

8-3-2017

Publication Title

International Journal of Control

Volume

90

Issue

8

First Page

1678

Keywords

backstepping, Discrete-time nonlinear stochastic systems, missing measurements, observer, stochastic stability

Last Page

1687

Abstract

Control and stabilisation of a class of discrete-time output-dependent nonlinear stochastic system subject to missing measurements is tackled in this article. First, a Bernoulli-distributed white sequence satisfying a known conditional probability distribution is introduced into the output measurement equation to describe the missing measurement phenomenon. Then, an observer-based controller is designed by employing the backstepping technique and the stability of the resulting closed-loop system is investigated by utilising the Lyapunov stability theory. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed control scheme.

DOI

10.1080/00207179.2016.1219066

ISSN

00207179

E-ISSN

13665820

Recommended Citation

Saif, Mehrdad; Liu, Bing; and Fan, Huijin. (2017). Stabilisation and control of a class of discrete-time nonlinear stochastic output-dependent system with random missing measurements. International Journal of Control, 90 (8), 1678-1687.
https://scholar.uwindsor.ca/electricalengpub/282