Boundary Feedback Control of 2x2 Quasilinear Hyperbolic Systems: Predictive Synthesis and Robustness Analysis

• 成果类型: Article
• 署名作者: Strecker, Timm; Aamo, Ole Morten; Cantoni, Michael
• 署名单位: University of Melbourne; Norwegian University of Science & Technology (NTNU)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3083564
• 发表日期: 2022
• 页码: 1397-1413
• 关键词: robustness; trajectory; Mathematical model; Feedback control; CONTROLLABILITY; Backstepping; uncertainty; Distributed parameter systems; Nonlinear systems; robust stability

摘要

We present a predictive feedback control method for a class of quasilinear hyperbolic systems with one boundary control input. Assuming exact model knowledge, convergence to the origin or tracking at the uncontrolled boundary is achieved in finite time. A robustness certificate is provided, showing that at least under more restrictive assumptions on the system coefficients, the control method has inherent robustness properties with respect to small errors in the model, measurements, and control input. Rigorous, although conservative conditions on the time derivative of the initial condition and on the design parameter controlling the convergence speed are given to ensure global existence of the solution for initial conditions with arbitrary infinity-norm.