RESEARCH OVERVIEW

"simplicity breeds contempt"

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

LARGE SCALE AND DECENTRALIZED SYSTEMS, Wiley Encyclopedia of Electrical and 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.

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

BOOKS

Control of Complex Systems: Structural Constraints and Uncertainty
Control of Complex Systems: Structural Constraints and Uncertainty
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
Decentralized control of complex systems (Russian Version)
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