Validated discretization and robust controller design for nonlinear sampled-data control
Validated discretization and robust controller design for nonlinear sampled-data control
复制标题
用于非线性采样数据控制的经过验证的离散化和鲁棒控制器设计
DOI：
10.1109/cdc.2015.7403368
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Yasuaki Oishi
中科院分区：
文献类型：
--
作者：
Oishi Yasuaki;Mio Kobayashi and Tetsuya Yoshinaga;Yasuaki Oishi
考虑具有性能保证的多项式非线性对象的采样数据控制。特别地，对给定的连续时间非线性对象用显式误差界近似离散化，并设计了对误差界具有鲁棒性的离散时间控制器。带有误差界的离散化基于一种经过验证的计算技术，鲁棒控制器设计基于线性表示。这种方法的一个优点是，可以根据二次控制性能进行设计，例如，在给定的采样时间内保证性能。它还可以考虑到系统的样本间行为。通过一个简单的算例验证了该方法的有效性。
Sampled-data control of a polynomial nonlinear plant is considered with performance guarantee. In particular, a given continuous-time nonlinear plant is approximately discretized with an explicit error bound and a discrete-time controller is designed so as to be robust against the error bound. Discretization with an error bound is based on a technique from validated computation and robust controller design is based on a linear-like representation. An advantage of this approach is that the design can be made with respect to the quadratic control performance, for example, and the performance is guaranteed for a given sampling time. It can also take into account the intersample behavior of the system. The proposed approach is applied to a simple example and shows its efficacy.