非线性控制系统不变熵的数值估计
Numerical Estimation of Invariance Entropy for Nonlinear Control Systems
摘要：
对于在传感器和控制器之间具有数字通道的闭环控制系统，不变熵的概念量化了信息传输的最小平均速率，在该最小平均速率之上，状态空间的给定紧凑子集可以变得不变。在这项工作中，我们提出了第一次的算法，数值计算上界的不变熵。用三个例子，其中的不变性熵的确切值是已知的，我们可以通过其他手段估计，我们证明了我们的算法得到的上限是相同的数量级的实际值。此外，我们的算法提供了一个静态的编码器控制器方案对应于所获得的数据速率界。
英文摘要：
For a closed-loop control system with a digital channel between the sensor and the controller, the notion of invariance entropy quantifies the smallest average rate of information transmission above which a given compact subset of the state space can be made invariant. In this work, we present for the first time an algorithm to numerically compute upper bounds of invariance entropy. With three examples, for which the exact value of the invariance entropy is known to us or can be estimated by other means, we demonstrate that the upper bound obtained by our algorithm is of the same order of magnitude as the actual value. Additionally, our algorithm provides a static coder-controller scheme corresponding to the obtained data-rate bound.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
