© 2005

Quantitative Measure for Discrete Event Supervisory Control

  • Asok Ray
  • Vir V. Phoha
  • Shashi P. Phoha

Table of contents

  1. Front Matter
    Pages i-xx
  2. Theory of Language Measure and Supervisory Control

    1. Front Matter
      Pages 1-1
    2. Asok Ray, Xi Wang
      Pages 3-37
    3. Asok Ray, Jinbo Fu, Constantino Lagoa
      Pages 39-69
    4. Constantino Lagoa, Jinbo Fu, Asok Ray
      Pages 71-93
    5. Ishanu Chattopadhyay, Asok Ray
      Pages 95-130
  3. Engineering and Software Applications of Language Measure and Supervisory Control

    1. Front Matter
      Pages 131-131
    2. Xi Wang, Peter Lee, Asok Ray, Shashi Phoha
      Pages 133-156
    3. Xi Wang, Asok Ray, Peter Lee, Jinbo Fu
      Pages 157-181
    4. Murat Yasar, Jinbo Fu, Asok Ray
      Pages 183-205
    5. Vir Phoha, Amit Nadgar, Asok Ray, Shashi Phoha
      Pages 207-238
    6. Xin Xu, Vir V. Phoha, Asok Ray, Shashi Phoha
      Pages 239-259
  4. Back Matter
    Pages 261-264

About this book


Never before has there been a quantitative approach designed to optimize supervisory decision and control for discrete event systems. The text pioneers a formal system for supervision of human-engineered complex systems, to compare different supervisory models, thereby maximizing potential for achieving high performance. It offers exciting implications for both military and commercial engineering systems. 

Quantitative Measure for Discrete Event Supervisory Control presents a novel method for discrete-event decision and control of complex systems, and provides applications for burgeoning technological needs in engineering (i.e., multi-agent human and robotic systems, aircraft, and electric power generation systems), as well as control of software systems and malicious executables. Using Supervisory Control Theory (SCT), a tool to model and control human engineered complex systems, this text initiates new concepts in quantitative treatment of SCT, as a much needed augmentation to existing research on the diagnosis and control of SCT. This survey is the first comprehensive treatment of a language-theoretic quantitative approach to discrete event supervisory decision and control.

• Summarizes fundamental materials in supervisory decision and control before integrating new method to quantitatively measure performance

• Presents formal theory to support the quantitative approach, thus outlining an effective model for discrete event decision and control of human-engineered complex systems

• Outlines diverse and practical implications for the materials in the commercial and military Command, Control, Computer, Communication, Intelligence, Surveillance, and Reconnaissance (C4ISR) systems

• Illuminates significant mathematical foundations and proofs for reader understanding of quantification processes, while avoiding nonessential mathematical details and applications

• Develops and describes methods that have been successfully classroom-tested in Pennsylvania State University and Louisiana Tech University

Compiling some of the leading research in the field, this self-contained volume contains essential techniques and advanced applications for researchers or graduate students in computer engineering, computer science, and applied mathematics. Additionally, the book may be an important resource for students in other disciplines, such as the biological sciences, management sciences, social sciences, and economics.


Diagnose algorithms automata automata theory computer computer network control control theory formal language identification information system modeling operating system optimal control robot

Editors and affiliations

  • Asok Ray
    • 1
  • Vir V. Phoha
    • 2
  • Shashi P. Phoha
    • 3
  1. 1.The Pennsylvania State UniversityUniversity ParkUSA
  2. 2.Louisiana Tech UniversityRustonUSA
  3. 3.N.I.S.T.-Information Technology LaboratoryGaithersburgUSA

About the editors

Dr. Asok Ray, Distinguished Professor of Mechanical Engineering, Pennsylvania State University. Previously worked at Carnegie Mellon University, Massachusetts Institute of Technology, Charles Stark Draper Laboratory, and MITRE. Fellow of IEEE; Fellow of ASME; Associate Fellow of AIAA; Professional Engineer. Editor of IEEE Transactions on Aerospace and Electronic Systems; Editorial Board Member, Advances in Industrial Control Series, Springer-Verlag, London; Associate editor of IEEE Transactions on Control Systems Technology; Associate Editor, The International Journal of Structural Health Monitoring (IJSHM); Associate Editor, International Journal of Flexible Manufacturing Systems; Past Associate Editor, ASME Journal of Dynamic Systems, Measurement, and Control (1992-1995). Author of over 350 research publications and book chapters including a Springer-Verlag, London monograph, Intelligent Seam Tracking for Robotic Welding (1993). More details are available at


Dr. Vir V. Phoha, Associate Professor of Computer Science in the College of Engineering and Science at Louisiana Tech University. Has won various distinctions including outstanding research faculty and faculty circle of excellence award at Northeastern State University, Oklahoma, and as a student was awarded President’s Gold medal for academic distinction. Author of over 35 publications and author of two books: (1) Internet Security Dictionary, Springer-Verlag (2002) and (2) Foundations of Wavelet Networks and Applications, CRC Press/Chapman Hall (2002).


Dr. Shashi Phoha, Director of Information Science and Technology Division at the Applied Research Laboratory and Professor of Electrical and Computer Engineering, Pennsylvania State University. Founder and Director of a University/Industry consortium for establishing a National Information Infrastructure Interoperability Testbed, funded by DARPA. Member of the Board of Directors of the International Consortium CERES Global Knowledge Network, along with representatives of thirteen other international universities. On the Board of Directors of Autonomous Undersea Vehicle Technology Consortium for International Cooperation Between Research, Technology, Industry and Applications. Panelist on the National Information Infrastructure Standards Panel (ANSI). Author of over 150 scholarly articles and book chapters. M.S. Cornell University, Ph.D. Michigan State University.

Bibliographic information

Industry Sectors
IT & Software


From the reviews:

"This book presents a novel method for discrete event decision and control of complex systems, e.g. electric power generation, aircraft problems and multi-agent human and robotic systems. … The book would be of interest to research workers and graduate students in engineering robotics, computer science and applied mathematics … a rather original and mind provoking book." (Robotica, Vol. 24, 2006)

"This is a monograph that is designed to reach a readership of researchers and graduate students in engineering and science. It will also provide a very useful text for many cyberneticians and systemists who have interests in the areas covered and have a mathematical background to graduate level. … forms a major source for course studies as well as being an excellent reference for readers who wish to learn more about this approach to the study of supervisory decision and control for discrete event systems." (W. R. Howard, Kybernetes, Vol. 35 (7-8), 2006)