论文标题

通过侧面信息控制LQG对高斯通道的控制方案

Schemes for LQG Control over Gaussian Channels with Side Information

论文作者

Lev, Omri, Khina, Anatoly

论文摘要

我们考虑控制不稳定的标量线性植物在功率受限的加性白色高斯噪声(AWGN)通道上的问题,在该通道中,控制器/接收器可以访问控制系统状态的额外噪声测量。为此,我们将嘈杂的测量视为侧面信息,并将问题与接收器的侧面信息相关联的问题。我们认为,明智的基于模量的方案会改善其线性对应物,并避免由于传感器/发射器处侧面信息的无知而避免发射功率大大增加。我们证明了我们的技术对设置的有用性,i)传感器忽略了控制目标,控制操作和先前的控制器状态估计,ii)系统输出跟踪仅通过积分控制操作在控制器上可用的所需参考信号。

We consider the problem of controlling an unstable scalar linear plant over a power-constrained additive white Gaussian noise (AWGN) channel, where the controller/receiver has access to an additional noisy measurement of the state of the control system. To that end, we view the noisy measurement as side information and recast the problem to that of joint source-channel coding with side information at the receiver. We argue that judicious modulo-based schemes improve over their linear counterparts and allow to avoid a large increase in the transmit power due to the ignorance of the side information at the sensor/transmitter. We demonstrate the usefulness of our technique for the settings where i) the sensor is oblivious of the control objectives, control actions and previous controller state estimates, ii) the system output tracks a desired reference signal that is available only at the controller via integral control action.

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