Open AccessNew Decentralized Control of Interconnected Systems
Author(s) -
Amal Zouhri,
Ismail Boumhidi
Publication year - 2020
Publication title -
international journal of engineering and advanced technology
Language(s) - English
Resource type - Journals
ISSN - 2249-8958
DOI - 10.35940/ijeat.d7357.049420
Subject(s) - control theory (sociology) , lemma (botany) , stability (learning theory) , controller (irrigation) , decentralised system , mathematics , lyapunov function , matrix (chemical analysis) , linear matrix inequality , control (management) , closed loop , stability conditions , computer science , mathematical optimization , control engineering , engineering , nonlinear system , discrete time and continuous time , materials science , artificial intelligence , ecology , composite material , biology , quantum mechanics , machine learning , agronomy , statistics , physics , poaceae
In this paper, we present a new decentralized H∞ control for interconnected systems, the interconnected system consists of several subsystems. The proposed approach based on Lyapunov functional and a H∞ criterion, employed to reduce the effect of interconnections between subsystems. In the first, we study the stability of the global system in closed loop using a criterion H∞, the stability conditions are presented in terms of LMI. In the second, to improve this approach, a Finsler’s lemma is used for the stability analysis by LMIs. Some sufficient conditions, ensuring all the closed-loop stability are supplied in terms of Linear Matrix Inequalities (LMIs), and the new feedback gain matrix of each local controller is obtained by solving the LMIs. Finally, the practice examples are given to illustrate the efficiency of the present method.