Title :
Decentralized stabilization of large-scale systems via State-feedback and using descriptor systems
Author :
Labibi, Batool ; Lohmann, Boris ; Sedigh, Ali Khaki ; Maralani, Parviz Jabedar
Author_Institution :
Dept. of Control, K. N. Toosi Univ. of Technol., Tehran, Iran
Abstract :
In this paper a new method for decentralized stabilization of a large-scale system in general form via state-feedback is presented. An appropriate descriptor system is defined for a large-scale system, such that the new system is in input-decentralized form. The interactions between the subsystems are considered as uncertainty. Sufficient conditions for stability of the closed-loop uncertain system are introduced. By appropriately assigning the eigenstructure of each isolated subsystem, these conditions are satisfied. This is accomplished by using the method suggested by Patton and Liu, such that the effects of the interconnections between the subsystems are compensated via the combination of genetic algorithms and gradient-based optimization.
Keywords :
closed loop systems; decentralised control; eigenstructure assignment; genetic algorithms; large-scale systems; stability; state feedback; uncertain systems; closed-loop uncertain systems; decentralized stabilization; descriptor systems; eigenstructure assignment; genetic algorithms; gradient-based optimization; input decentralized form; large scale systems; state feedback; uncertainty; Automatic control; Control systems; Eigenvalues and eigenfunctions; Genetic algorithms; Large-scale systems; Robustness; Stability; Sufficient conditions; Uncertain systems; Uncertainty;
Journal_Title :
Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on
DOI :
10.1109/TSMCA.2003.818463