Backstepping-Based Decentralized Fault-Tolerant Control of Hypersonic Vehicles in PDE-ODE Form

• 成果类型: Article
• 署名作者: Zhao, Dong; Jiang, Bin; Yang, Hao
• 署名单位: Nanjing University of Aeronautics & Astronautics
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3059689
• 发表日期: 2022
• 页码: 1210-1225
• 关键词: actuators; Vehicle dynamics; Mathematical model; aerodynamics; vibrations; Fault tolerant systems; Fault tolerance; Actuator faults; backstepping control technique; cycle-small-gain theorem; decentralized fault-tolerant control (FTC); Euler-Bernoulli beam (EBB) partial differential equation ordinary differential equation (PDE-ODE) cascade system

摘要

This article develops a decentralized actuator fault compensation scheme for hypersonic vehicles, using a model transform based backstepping control design. Different from the actuator dynamics represented by second-order ordinary differential equations (ODE) studied in the existing literature, a new actuator dynamics is studied in this article, modeled by a fourth-order partial differential equation (PDE), i.e., Euler-Bernoulli beam (EBB) equation. An invertible model transformation is introduced to transform the EBB PDE-ODE cascade system into a heat-like PDE-ODE cascade system and a new target system is constructed from a two-step backstepping procedure. A novel decentralized fault-tolerant control scheme is proposed for the heat-like PDE-ODE cascade system and the well-posedness of the system solutions is analyzed. The closed-loop system stability and the well-posedness property of the original EBB PDE-ODE cascade system are ensured. Simulation results illustrate the effectiveness of the proposed fault compensation scheme.