Proportional-Integral Observer Design for Multirate-Networked Systems Under Constrained Bit Rate: An Encoding–Decoding Mechanism
研究了多速率网络化系统在比特率受限下的比例积分观测器设计问题，通过编解码机制降低通信负担并提升数据安全性，利用李雅普诺夫方法分析误差有界性，并优化观测器增益以实现最小终极界和最快衰减率。
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.