Robust Decentralized Pole Assignment

Authors:	Ashari Alireza Esna, University of Tehran, Iran (Islamic Republic of) Labibi Batool, K. N. Toosi University of Technology, Iran (Islamic Republic of)
Topic:	5.4 Large Scale Complex Systems
Session:	Large Scale Complex Systems I- Theory
Keywords:	Decentralized control, eigenstructure assignment, robust stability, large-scale systems, eigenvalue, and eigenvectors.

Abstract

This paper considers the problem of assigning the closed-loop eigenvalues of linear large-scale systems in a desired stable region using decentralized control. A new method for robust decentralized control of the system via eigenstructure assignment of the subsystems is given. Based on the matrix perturbation theory, sufficient conditions for eigenstructure of each isolated subsystem are derived, when these conditions are satisfied, the closed-loop poles of the overall system will be assigned in the desirable region. Also, a new robustness measure is proposed, which does not need to calculate the eigenvectors and condition numbers. So the proposed measure has less computational burden than many of similar robustness measures. Based on the presented results, a new algorithm for decentralized robust pole assignment is suggested to design output feedback or state feedback.