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Research Overview

Complex Dynamic Systems: Decentralized Control and Computation

Complexity is a central problem in modern system theory and practice. Because of our intensive and limitless desire to build and control ever larger and more sophisticated systems, the orthodox concept of a high performance system driven by a central computer has become obsolete. New emerging notions are subsystems, interconnections, distributed intelligence, decentralized control, parallel processing, and automated factories, to mention a few. It is becoming apparent that a "well-organized complexity" is the way of the future.

Our accumulated experience in controlling large complex systems suggests three basic features that characterize complex systems:

  • Dimensionality
  • Information Structure Constraints
  • Uncertainty

The research status and prospects of decentralized control and computation of large complex systems have been described in the following survey papers and monographs:

Papers

DECENTRALIZED CONTROL AND COMPUTATION: STATUS AND PROSPECTS,Automatica Review of Control, vol. 20, 1996, pp. 131-141.

Books

LARGE SCALE AND DECENTRALIZED SYSTEMS, Wiley Encyclopedia of Electricaland Electronics Engineering, J. G. Webster (Ed.), John Wiley & Sons, New York, 1999, pp. 209-224. Co-author: A. I. Zecevic.

DECENTRALIZED CONTROL, The Control Handbook, W. S. Levine (Ed.), CRC Press, Boca Raton, FL, 1996, pp. 779-793. Co-author: M. E. Sezer.

Control of Complex Systems: Structural Constraints and Uncertainty

Control of Complex Systems

Aleksandar I. Zecevic and Dragoslav D. Siljak
Communication and Control Engineering
Springer Verlag, 2010

Decentralized Control of Complex Systems

Decentralized Control of Complex Systems

Volume 184 of Mathematics in Science and Engineering
Academic Press, 1991

Russian translation

Russian Translation
Mir Publishers, Moscow, Russia, 1994

Large-Scale Dynamic Systems: Stability and Structure

Large Scale Dynamic Systems 1978

North-Holland, 1978

Large Scale Dynamic Systems 2007

Reprint, Soft Cover
Dover Publications, 2007

Paper

PARAMETER SPACE METHODS FOR ROBUST STABILITY ANALYSIS AND CONTROL DESIGN

The objective of this research is to formulate methods for robust stabilization of uncertain systems. The basis for this research effort is described by the following survey paper and a book on nonlinear systems:

PARAMETER SPACE METHODS FOR ROBUST CONTROL DESIGN: A GUIDED TOUR, IEEE Transactions on Automatic Control, 34 (1989) 674-688.

This paper provides a review of past and recent (before 1989) contributions to the parameter space methods for analysis and design of robust control systems. Both the classical approach via characteristic equation and new methods based upon Lyapunov functions and Riccati equations are discussed. Directions for future research are indicated.

Books

Stability of Control Systems

Stability of Control Systems

Electrical Engineering Faculty, Beograd, Serbia
Forum Publishers, 1974

Nonlinear Systems: The Parameter Analysis and Design

Nonlinear Systems

John Wiley and Sons, 1969

Drago Siljak

Professor Emeritus, Department of Electrical Engineering

Email: dsiljak@scu.edu