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

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.