有噪信道上通信受限的反馈控制系统的最优性能
Optimal Performance of Feedback Control Systems with Limited Communication over Noisy Channels
摘要：
考虑了传感器和控制器之间具有噪声信道的离散时间随机反馈控制系统。传感器内存有限。传感器每次都通过信道发送编码符号并更新其存储器。控制器接收所发送的符号的噪声版本，并且基于其所有过去的观察和动作来生成控制动作。该控制动作动作被反馈到系统中。在每个阶段，系统都会产生瞬时成本，这取决于设备的状态和控制动作。目标是选择编码、存储器更新和控制策略，以最小化有限时域上的期望总成本，或无限时域上的期望贴现成本，或无限时域上的期望单位时间平均成本。对于每种情况，我们得到一个顺序分解的最优化问题。结果被扩展到的情况下，当传感器使一个不完美的观察系统的状态。
英文摘要：
A discrete time stochastic feedback control system with a noisy communication channel between the sensor and the controller is considered. The sensor has limited memory. At each time, the sensor transmits encoded symbol over the channel and updates its memory. The controller receives a noisy version of the transmitted symbol, and generates a control action based on all its past observations and actions. This control action action is fed back into the system. At each stage the system incurs an instantaneous cost depending on the state of the plant and the control action. The objective is to choose encoding, memory updating and control strategies to minimize the expected total costs over a finite horizon, or the expected discounted cost over an infinite horizon, or the expected average cost per unit time over an infinite horizon. For each case we obtain a sequential decomposition of the optimization problem. The results are extended to the case when the sensor makes an imperfect observation of the state of the system.
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。
