Izvorni znanstveni članak
https://doi.org/10.1080/00051144.2023.2203552
A novel robust extended dissipativity state feedback control system design for interval type-2 fuzzy Takagi-Sugeno large-scale systems
Mojtaba Asadi Jokar
; Electrical and Electronic Engineering Department, Shahed University, Tehran, Iran
Iman Zamani
; Electrical and Electronic Engineering Department, Shahed University, Tehran, Iran
Mohammad Manthouri
; Electrical and Electronic Engineering Department, Shahed University, Tehran, Iran
Mohammad Sarbaz
; Electrical and Electronic Engineering Department, Shahed University, Tehran, Iran
Sažetak
Recently, systems have become large in their model and dynamic. To apply control algorithms, serious problems appear that need to be solved. Two significant problems are modelling the dynamics of the large-scale system and reducing effects of perturbations. In this paper, we use the advantage of large-scale systems modelling based on the type-2 fuzzy Takagi–Sugeno model to cover the uncertainties caused by large-scale systems modelling. The advantage of using membership function information is the reduction of conservatism resulting from stability analysis. Also, this paper uses the extended dissipativity robust control performance index to reduce the effect of external perturbations on the large-scale system, which is a generalization of H∞
, L2−L∞
, passive and dissipativity performance indexes and control gains can be achieved through solving linear matrix inequalities (LMIs). Hence, the whole closed-loop system is asymptotically stable. Finally, the effectiveness of the proposed method is demonstrated by two practical examples.
Ključne riječi
Membership function dependent; type-2 fuzzy; large-scale system; extended dissipativity; state feedback
Hrčak ID:
315893
URI
Datum izdavanja:
18.5.2023.
Posjeta: 36 *