© 2010

Stochastic Distribution Control System Design

A Convex Optimization Approach

  • Shows the reader how to expand the use of stochastic control methods beyond those usually available in a broad range of industrial process environments

  • Uses linear matrix inequality methods to allow the reader to control parameter determination and assess closed-loop performance


Part of the Advances in Industrial Control book series (AIC)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Developments in Stochastic Distribution Control Systems

  3. Structural Controller Design for Stochastic Distribution Control Systems

  4. Two-step Intelligent Optimization Modeling and Control for Stochastic Distribution Control Systems

  5. Statistical Tracking Control – Driven by Output Statistical Information Set

  6. Fault Detection and Diagnosis for Stochastic Distribution Control Systems

  7. Conclusions

    1. Front Matter
      Pages 171-171
  8. Back Matter
    Pages 179-195

About this book


Stochastic distribution control (SDC) systems are widely seen in practical industrial processes, the aim of the controller design being generation of output probability density functions for non-Gaussian systems. Examples of SDC processes are: particle-size-distribution control in chemical engineering, flame-distribution control in energy generation and combustion engines, steel and film production, papermaking and general quality data distribution control for various industries. SDC is different from well-developed forms of stochastic control like minimum-variance and linear-quadratic-Gaussian control, in which the aim is limited to the design of controllers for the output mean and variances.

An important recent development in SDC-related problems is the establishment of intelligent SDC models and the intensive use of linear-matrix-inequality-based (LMI-based) convex optimization methods. Within this theoretical framework, control parameter determination can be designed and stability and robustness of closed-loop systems can be analyzed. Stochastic Distribution Control System Design describes the new framework of SDC system design and provides a comprehensive description of the modelling of controller design tools and their real-time implementation. The book starts with a review of current research on SDC and moves on to some basic techniques for modelling and controller design of SDC systems. This is followed by a description of controller design for fixed-control-structure SDC systems, PDF control for general input- and output-represented systems, filtering designs, and fault detection and diagnosis (FDD) for SDC systems. Many new LMI techniques being developed for SDC systems are shown to have independent theoretical significance for robust control and FDD problems.

This monograph will be of interest to academic researchers in statistical, robust and process control, and FDD, process and quality control engineers working in industry and as a reference for graduate control students.



Tracking algorithm chemical engineering fault detection fuzzy industrial process model modeling neural network optimization robust control stability time delay

Authors and affiliations

  1. 1.Institute of Automation Science and Electrical EngineeringBeihang UniversityBeijingChina
  2. 2.Northeastern UniversityShenyangChina
  3. 3.School of Electrical and Electronic EngineeringUniversity of ManchesterManchesterUK

About the authors

Author 1: Professor Lei Guo:

2003–present: Full professor with research activities on stochastic control, nonlinear control, filter design and fault detection, in Institute of Automation, BUAA, Beijing, P R China. He is also affiliated as a full professor with Research Institute of Automation, Southeast University, China.

2002–2003: Research fellow at Dept. Paper Science, UMIST, Manchester, UK.

2001–2002: Research associate in Department of Automobile and Aeronautical Engineering, Loughborough University, UK;

2000–2001: Research associate in Department of Mechanical Engineering, Glasgow University, UK;

1999–2000: Postdoctoral research fellow in IRCCyN, CNRS, Nantes, France, sponsored by Pays de la Loire project.

Following Professor Guo's previous work on stochastic distribution control at UMIST, his recent research is mainly focused on the new developments of non-Gaussian filtering algorithms for signal processing and the shape control of stochastic distributions using LMIs. This includes the developments of nonlinear observers and LMI techniques for adaptive tuning rules for nonlinear systems.

Professor Lei Guo will (with John Bailleul of Boston University) be general chair of the IEEE Conference on Decision and Control and Chinese Control Conference being held jointly in Shanghai in December 2009.

Author 2: Professor Hong Wang:

1982: Received the BSc (first class) degree in Electrical Engineering from Huainan University of Technology, Anhui, P.R. China

1984: Received the MEng (first class) in Automatic Control from Huazhong Univ.Science & Tech, Wuhan, P.R. China

1987: Received the PhD degree in Power Systems Automation from Huazhong Univ. Science & Tech., Wuhan, P.R. China, received an outstanding PhD thesis award and three best papers awards.

2004–present: Professor in Process Control, Director of the Control Systems Centre, School of Electrical and Electronics Engineering, The University of Manchester (formally UMIST), Manchester, working on the control of stochastic distributions for stochastic systems, fault diagnosis and fault tolerant control andcomplex systems modeling.

2002–2003: Professor in Process Control, Control Systems Centre, UMIST, Manchester.

1999–2002: Reader in Process Control at UMIST, working on stochastic distribution control, fault diagnosis and complex systems modeling.

1997–1999: Senior lecturer in Process Control at UMIST, working on stochastic distribution control, fault diagnosis and complex systems modeling.

Prof Wang is a fellow of IEE, fellow of InstMC and IEEE Senior Member, and acted as an associate editor for the leading control theory journal (IEEE Transactions on Automatic Control), board member for 4 international journals, and a member of the IFAC Safeprocess Committee, the IFAC Adaptive and Learning Systems Commitee and a member of the IFAC Stochastic Systems Committee. He is the originator of probability density function shape control and has published 190 papers in international journals and conferences (25 invited papers). He is the leading author of 3 books.

His research activites have been focused on: i. stochastic distribution control and filtering of general non-Gaussian dynamic stochastic systems and closed-loop entropy minimization; ii. fault detection, diagnosis and fault-tolerant control for dynamic systems; iii. artificial-neural-network-based control systems design and applications to complex systems such as papermaking, combusion systems and systems biology; and iv. plant-wide modeling, fault diagnosis and optimization.

Bibliographic information

Industry Sectors
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Oil, Gas & Geosciences


From the reviews:

“The book deals with numerous methods of the design of stochastic distribution control systems. … It includes the recent results and presents the dynamic development of research in this field. Since the stochastic distribution control is an interesting approach as well from theoretical point of view as in many applications the publishing of this book seems to be very valuable. … The book provides complementary material for graduate courses.” (Leslaw Socha, Zentralblatt MATH, Vol. 1226, 2012)