New Decentralized Control of Interconnected Systems
Amal Zouhri1, Ismail Boumhidi2
1Amal Zouhri*, Department of physics, Sidi Mohammed Ben Abdellah University, Faculty of Sciences Dhar EL Mahraz, LEESI Laboratory, B.P. 1796 Fès-Atlas, 30003, Fez, Morocco.
2Ismail Boumhidi, Department of physics, Sidi Mohammed Ben Abdellah University, Faculty of Sciences Dhar EL Mahraz, LEESI Laboratory, B.P. 1796, Fès-Atlas, 30003, Fez, Morocco.
Manuscript received on March 26, 2020. | Revised Manuscript received on April 27, 2020. | Manuscript published on April 30, 2020. | PP: 2252-2260 | Volume-9 Issue-4, April 2020. | Retrieval Number: D7357049420/2020©BEIESP | DOI: 10.35940/ijeat.D7357.049420
Open Access | Ethics and Policies | Cite | Mendeley
© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: : 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.
Keywords: Interconnected system, H∞ control, decentralized state feedback, linear matrix inequality (LMI).