Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/22420
Title: Enhanced Control of Nonlinear Cyber-Physical Systems: A Higher-Order Relaxation Matrix-Based Convex Optimization Algorithm
Authors: Gao, Jingjing
Xie, Xiangpeng
Xia, Jianwei
Stojanović, Vladimir
Journal: IEEE Transactions on Automation Science and Engineering
Issue Date: 2025
Abstract: This paper investigates the static output feedback (SOF) control problem of T-S fuzzy systems based on higher-order Lyapunov functions (HO-LFs). Firstly, to alleviate the conservatism of controller design, an advanced high-order time-varying relaxation matrix (HO-TVRM) approach is proposed. The HO-TVRM approach can completely adapt to the homogeneous polynomial analysis framework and effectively utilize the potential characteristics of fuzzy control to broaden the feasible domain of the reference problem. Secondly, to deal with the non-convex constraints caused by SOF control, a more flexible switching sequence convex optimization (SSCO) algorithm is developed, which adopts a switching-type optimization variable structure and combines variable-weight-based switching mechanism to alternately linearize non-convex terms during the iteration process. As a result, a convex optimization problem that approximates the original problem is obtained. Finally, simulations are presented to testify the effectiveness of the relaxed SOF control strategy.
URI: https://scidar.kg.ac.rs/handle/123456789/22420
Type: article
DOI: 10.1109/TASE.2025.3584831
ISSN: 1545-5955
Appears in Collections:Faculty of Mechanical and Civil Engineering, Kraljevo

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