论文标题
非线性控制系统不变性熵的数值估计
Numerical Estimation of Invariance Entropy for Nonlinear Control Systems
论文作者
论文摘要
对于传感器和控制器之间具有数字通道的闭环控制系统，不变性熵的概念量化了最小的信息传输速率，在该信息传输速率上方可以使状态空间的给定紧凑子集成为不变性。在这项工作中，我们首次提出算法以数值计算不变性熵的上限。在三个示例中，我们知道了不变性熵的确切值，也可以通过其他方式估算，我们证明了我们算法获得的上限与实际值相同。此外，我们的算法还提供了与所获得的数据率结合相对应的静态编码器控制器方案。
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.
