Constrained Cost Fuzzy Control via Decentralized Design Approach for Nonlinear Descriptor Interconnected Systems

• Published in: Machines (Basel) Vol. 11; no. 6; p. 666
• Main Authors: Chang, Wen-Jer, Su, Che-Lun, Ku, Cheung-Chieh, Sun, Chein-Chung
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.06.2023
• Subjects: Analysis; Autonomous vehicles; constrained cost fuzzy control; Control systems design; Control theory; Controllers; Cost control; Design; Economic aspects; Energy consumption; Fuzzy control; Fuzzy sets; Investment analysis; Liapunov functions; Linear matrix inequalities; Mathematical analysis; Mathematical functions; Mathematical models; Methods; nonlinear descriptor interconnected systems; Robotics; Robust control; System effectiveness; Takagi–Sugeno fuzzy model; Weighting functions
• ISSN: 2075-1702; 2075-1702
• DOI: 10.3390/machines11060666

This paper proposes a decentralized robust constrained cost fuzzy controller (DRCCFC) design for nonlinear descriptor interconnected systems (DIS) with uncertainties. The considered nonlinear DIS is modeled using Takagi–Sugeno fuzzy model (T-S FM) with fuzzy rules and strong interconnections. To derive sufficient stability conditions, the quadratic Lyapunov function (QLF) and free-weighting function (FWF) are defined. In contrast to the existing control approaches, the proportional–derivative feedback (PDF) control is introduced in this paper. Using the PDF control techniques, the regular and causal problems of the system can be solved easily. Based on the PDF control technique and constrained cost control (CCC) function, a set of fuzzy controllers are designed to effectively control the Takagi–Sugeno descriptor interconnected systems (T-S DIS). Then, the proposed sufficient conditions for the T-S DIS are derived in the form of linear matrix inequalities using the Schur complement technique. Finally, two simulation examples are provided to demonstrate the validity of the proposed control scheme.