Nonlinear Stochastic Systems with Network-Induced Phenomena

Recursive Filtering and Sliding-Mode Design

  • Jun Hu
  • Zidong Wang
  • Huijun Gao

Table of contents

  1. Front Matter
    Pages i-xv
  2. Jun Hu, Zidong Wang, Huijun Gao
    Pages 1-21
  3. Jun Hu, Zidong Wang, Huijun Gao
    Pages 23-61
  4. Jun Hu, Zidong Wang, Huijun Gao
    Pages 217-219
  5. Back Matter
    Pages 221-223

About this book


This monograph introduces methods for handling filtering and control problems in nonlinear stochastic systems arising from network-induced phenomena consequent on limited communication capacity. Such phenomena include communication delay, packet dropout, signal quantization or saturation, randomly occurring nonlinearities and randomly occurring uncertainties.

The text is self-contained, beginning with an introduction to nonlinear stochastic systems, network-induced phenomena and filtering and control, moving through a collection of the latest research results which focuses on the three aspects of:

·        the state-of-the-art of nonlinear filtering and control;

·        recent advances in recursive filtering and sliding mode control; and

·        their potential for application in networked control systems,

and concluding with some ideas for future research work. New concepts such as the randomly occurring uncertainty and the probability-constrained performance index are proposed to make the network models as realistic as possible. The power of combinations of such recent tools as the completing-the-square and sums-of-squares techniques, Hamilton‒Jacobi‒Isaacs matrix inequalities, difference linear matrix inequalities, and parameter-dependent matrix inequalities is exploited in treating the mathematical and computational challenges arising from nonlinearity and stochasticity.

Nonlinear Stochastic Systems with Network-Induced Phenomena establishes a unified framework of control and filtering which will be of value to academic researchers in bringing structure to problems associated with an important class of networked system and offering new means of solving them. The significance of the new concepts, models and methods presented for practical control engineering and signal processing will also make it a valuable reference for engineers dealing with nonlinear control and filtering problems.


Communication Delay Network-induced Phenomena Nonlinear Systems Packet Dropout Randomly-occurring Uncertainties Recursive Filtering Signal Quantization Signal Saturation Sliding-mode Design Stochastic Systems

Authors and affiliations

  • Jun Hu
    • 1
  • Zidong Wang
    • 2
  • Huijun Gao
    • 3
  1. 1.Department of Applied MathematicsHarbin University of Science and TechnologyHarbinChina
  2. 2.Department of Information Systems and ComputingBrunel UniversityUxbridgeUnited Kingdom
  3. 3.Research Institute of Intelligent Control and SystemsHarbin Institute of TechnologyHarbinChina

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-08710-8
  • Online ISBN 978-3-319-08711-5
  • Buy this book on publisher's site