Research Papers

Stochastic Sampled-Data Control for H Stabilization of Transport Reaction Systems

[+] Author and Article Information
R. Rakkiyappan

Department of Mathematics,
Bharathiar University,
Coimbatore 641 046,
Tamil Nadu, India
e-mail: rakkigru@gmail.com

S. Dharani

Department of Mathematics,
Bharathiar University,
Coimbatore 641 046,
Tamil Nadu, India
e-mail: sdharanimails@gmail.com

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received January 4, 2014; final manuscript received February 17, 2015; published online April 24, 2015. Assoc. Editor: YangQuan Chen.

J. Dyn. Sys., Meas., Control 137(8), 081009 (Aug 01, 2015) (12 pages) Paper No: DS-14-1005; doi: 10.1115/1.4030087 History: Received January 04, 2014; Revised February 17, 2015; Online April 24, 2015

This paper investigates the problem of stochastic sampled-data H control for a class of parabolic systems governed by one-dimensional semilinear transport reaction systems with external disturbances. A sampled-data controller design is developed by introducing the time-varying delay in the control input signals. The m sampling periods are considered whose occurrence probabilities are known constants and satisfy Bernoulli distribution. Since discontinuous Lyapunov functional copes well with problems of sampled-data control systems, a discontinuous Lyapunov functional is constructed based on the extended Wirtinger’s inequality. With this new approach, sufficient conditions that guarantee the asymptotic mean-square stabilization of the considered systems and the L2-gain analysis are derived in terms of linear matrix inequalities (LMIs), which can be solved by any of the available software.

Copyright © 2015 by ASME
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Fig. 1

Solution of Eq. (12) under the Dirichlet boundary condition




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In