论文标题
无限维非线性系统的输出调节：收缩半群的转发方法
Output regulation of infinite-dimensional nonlinear systems: a forwarding approach for contraction semigroups
论文作者
论文摘要
本文讨论了非线性收缩半群的稳健输出调节问题的问题。在为系统添加了整体操作之后，我们根据所谓的转发方法设计了一个反馈定律。对于小恒定的扰动，我们为存在局部指数稳定的平衡提供了足够的条件，在该平衡中，输出与参考相吻合。在其他假设下，实现了全球渐近稳定性。在半线性系统的情况下，研究了所有这些条件，并给出了应用的示例。
This paper deals with the problem of robust output regulation of systems governed by nonlinear contraction semigroups. After adding an integral action to the system, we design a feedback law based on the so-called forwarding approach. For small constant perturbations, we give sufficient conditions for the existence of a locally exponentially stable equilibrium at which the output coincides with the reference. Under additional assumptions, global asymptotic stability is achieved. All these conditions are investigated in the case of semilinear systems, and examples of application are given.
