IEEE Trans Cybern. 2023 Jul;53(7):4280-4291. doi: 10.1109/TCYB.2022.3165041. Epub 2023 Jun 15.
In this article, the proportional-integral observer design problem is studied for a class of multirate networked systems subject to constrained bit rate. The sensor sampling period is allowed to be different from the system updating period and, to facilitate the observer design, the underlying multirate system is cast into a general single-rate one by resorting to the lifting technique. In order to curb the communication burden and promote the data security, the encoding-decoding procedure is implemented on the sensor-to-observer channel to convert the measurement signals into binary codewords. A sufficient condition is first proposed to reveal the fundamental relationship between the bit-rate constraints and the decoding accuracy, and then the exponentially ultimate boundedness of the error dynamics is assessed with the aid of the Lyapunov method. Subsequently, the desired observer gains are determined by solving two optimization problems with the aim to achieve two distinct performance indices, namely, the smallest ultimate bound and the fastest decay rate. Finally, the validity of the developed observer design approach is thoroughly demonstrated via the simulation examples.
本文研究了一类具有约束比特率的多速率网络系统的比例积分观测器设计问题。允许传感器采样周期与系统更新周期不同，并借助提升技术，将基础多速率系统转换为一般的单速率系统，以便于观测器设计。为了抑制通信负担并提高数据安全性，在传感器到观测器通道上实施编码-解码过程，将测量信号转换为二进制码字。首先提出了一个充分条件，揭示了比特率约束与解码精度之间的基本关系，然后借助 Lyapunov 方法评估误差动态的指数最终有界性。随后，通过求解两个具有不同性能指标的优化问题，确定所需的观测器增益，即最小最终界和最快衰减率。最后，通过仿真示例充分验证了所提出的观测器设计方法的有效性。
