2 × 2拟线性双曲系统的边界反馈控制：预测综合与鲁棒性分析
Boundary Feedback Control of 2x2 Quasilinear Hyperbolic Systems: Predictive Synthesis and Robustness Analysis
摘要：
针对一类具有单边界控制输入的拟线性双曲型系统，提出了一种预测反馈控制方法。假设精确的模型知识，收敛到原点，或跟踪在不受控制的边界，在有限的时间内实现。提供了一个鲁棒性证书，表明至少在对系统系数的更严格的假设下，该控制方法相对于模型、测量和控制输入中的小误差具有固有的鲁棒性。严格的，虽然保守的条件上的时间导数的初始条件和控制收敛速度的设计参数，以确保全局存在的解的初始条件与任意无穷范数。
英文摘要：
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, are 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.
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