论文标题
边界控制系统的基于转换的反馈法律的迟到
Late lumping of transformation-based feedback laws for boundary control systems
论文作者
论文摘要
考虑了带有无限输入操作员的无限维线性系统的后倾斜反馈设计。所提出的方案适用于基于后替代和基于平坦的设计的近似，并依赖于将反馈分解为有界和无限部分的分解。近似仅适用于有界的部分，而没有边界的部分则允许确切实现。基于光谱结果，建立了闭环动力学与所需动力学的收敛性。通过双重性，相似的结果适用于具有边界观察系统的观察者输出注入增长的近似值。根据双曲线无限维系统，展示和说明了所提出的设计和近似步骤。
Late-lumping feedback design for infinite-dimensional linear systems with unbounded input operators is considered. The proposed scheme is suitable for the approximation of backstepping and flatness-based designs and relies on a decomposition of the feedback into a bounded and an unbounded part. Approximation applies to the bounded part only, while the unbounded part is assumed to allow for an exact realization. Based on spectral results, the convergence of the closed-loop dynamics to the desired dynamics is established. By duality, similar results apply to the approximation of the observer output-injection gains for systems with boundary observation. The proposed design and approximation steps are demonstrated and illustrated based on a hyperbolic infinite-dimensional system.
