Nonlinear regulation: The piecewise linear approach
Nonlinear regulation: The piecewise linear approach
复制标题
DOI：
10.1109/tac.1981.1102596
复制
发表时间：
1981
影响因子：
6.8
通讯作者：
Eduardo Sontag
中科院分区：
文献类型：
--
作者：
Eduardo Sontag
本文通过使用（离散时间）分段线性系统来处理非线性控制问题。这些系统的下一个状态和输出映射都由PL映射描述，即，通过在有限多面体划分的每个分量上仿射的映射。各种结果的状态和输出反馈，观察员，和逆，线性系统的标准，PL系统证明。然后，这些结果中的许多被用于研究更一般的（离散和连续时间）系统，使用适当的近似。
This paper approaches nonlinear control problems through the use of (discrete-time) piecewise linear systems. These are systems whose next-state and output maps are both described by PL maps, i.e., by maps which are affine on each of the components of a finite polyhedral partition. Various results on state and output feedback, observers, and inverses, standard for linear systems, are proved for PL systems. Many of these results are then used in the study of more general (both discrete- and continuous-time) systems, using suitable approximations.