A New Saturation Control for Uncertain System Using Diffeomorphism Approach: Application to Turbofan Engine

• Published in: IEEE transactions on industrial informatics Vol. 20; no. 6; pp. 8861 - 8872
• Main Authors: Lu, Sirong, Pan, Muxuan, Cheng, Ke, Sun, Qinqin
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01.06.2024; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Aerospace engines; Aircraft engine; Aircraft propulsion; Control systems; diffeomorphism; Engine noise; Engines; Flight envelopes; hardware-in-the-loop (HIL) test; Hardware-in-the-loop simulation; inequality constraints; Isomorphism; Mapping; Noise control; Noise measurement; Nonlinear control; Nonlinear systems; Nonlinearity; Robust control; Safety; Tracking control; Turbofan engines; Uncertainty
• ISSN: 1551-3203; 1941-0050
• DOI: 10.1109/TII.2024.3376775

This article presents a novel robust control scheme for nonlinear systems subject to asymmetric inequality saturation, modeling errors, and noise. The control scheme aims to achieve dynamic tracking targets while ensuring safe and low-noise operation of aero-engines. First, diffeomorphism theory is incorporated using the tangent function to establish an invertible mapping between a bounded input and an unbounded auxiliary input. In addition, the mapping can suppress noise. Second, a robust tracking control has been proposed for the reconstructed unbounded auxiliary system. The control consists of two parts: one to reduce nonlinearities, and the other to enhance tracking accuracy. Consequently, even under severe conditions, such as input saturation, the aero-engine system can guarantee uniform boundedness and uniform ultimate boundedness. Through numerical simulations and hardware-in-the-loop experiments, it is demonstrated that the diffeomorphism-based robust control enables smooth operation of the turbofan engine within safety limits, while maintaining high control quality across the complete flight envelope.