Decentralized and performance-constrained state-estimated fuzzy control for nonlinear differential-algebraic interconnected systems

• Published in: Information sciences 2024-07, Vol.673, p.120666, Article 120666
• Main Authors: Lee, Yi-Chen, Su, Che-Lun, Chang, Wen-Jer
• Format: Article
• Language: English
• Subjects: Decentralized fuzzy control; Mixed Performance constrained control; Nonlinear differential-algebraic interconnected systems; Observer-based feedback control
• ISSN: 0020-0255; 1872-6291
• DOI: 10.1016/j.ins.2024.120666

This paper introduces a decentralized and mixed performance-constrained state-estimated fuzzy control strategy designed for nonlinear differential-algebraic interconnected systems. Initially, the approach employs a Takagi-Sugeno (T-S) fuzzy model to approximate these complex systems. To address potential limitations within the interconnected systems, a Proportional-plus-Derivative (PD) state control method is integrated into the proposed control scheme. Additionally, an observer is constructed to estimate system states, enhancing the feasibility of the control method. System stability analysis is conducted using the free-weighing Lyapunov function approach, allowing designers to customize the weight matrix for desired control performance and facilitate controller design. Subsequently, a fuzzy controller is developed to ensure stability and meet both Passive-H∞ Performance (PHP) and H2 Control Performance (HCP) criteria. Finally, the effectiveness of the proposed design approach is validated through simulation results.