Lei Huijie, Zhang Yanwei, Lu Xikun
School of Electronic Information and Electrical Engineering, Anyang Institute of Technology, Anyang, 455000, People's Republic of China.
Henan Angang Zhoukou Co., Ltd, Anyang, 455000, People's Republic of China.
Sci Rep. 2024 Dec 30;14(1):31999. doi: 10.1038/s41598-024-83641-8.
Prescribed performance technology is a promising methodology that has received wide attention in control communities owing to its quantitative description for the steady-state and transient performance of control systems in recent years. Simplifying controller design, reducing system regulation time and preventing system divergence can all be achieved through the improved transient performance of parameter estimation. Unfortunately, in system identification communities, few papers on the transient performance of parameter identification are published because of difficulties in designing the error variable reflecting this performance. To resolve the above problem, this study provides an available solution by integrating the prescribed performance technology into the design of the estimator. We introduce an adaptive prescribed performance parameter identification of Hammerstein-like systems subject to the quantised observations. Firstly, a low-pass filter and forcing variables are developed to construct the transient performance error expression. An improved prescribed performance function that characterises the error bound of the parameter estimation is then introduced. Secondly, the identification error transformation is used to obtain a new system by transforming the raw system such that a constraint condition is avoided. A novel adaptive law is proposed to guarantee the original parameter identification with prescribed performance. Finally, simulation and process examples are given to state the finding results.
规定性能技术是一种很有前景的方法，近年来因其对控制系统稳态和瞬态性能的定量描述而在控制领域受到广泛关注。通过改进参数估计的瞬态性能，可以实现简化控制器设计、缩短系统调节时间和防止系统发散。不幸的是，在系统辨识领域，由于设计反映这种性能的误差变量存在困难，很少有关于参数辨识瞬态性能的论文发表。为了解决上述问题，本研究通过将规定性能技术集成到估计器设计中提供了一种可行的解决方案。我们介绍了一种受量化观测影响的类Hammerstein系统的自适应规定性能参数辨识方法。首先，开发了一个低通滤波器和强迫变量来构建瞬态性能误差表达式。然后引入一个改进的规定性能函数来表征参数估计的误差界。其次，利用辨识误差变换通过对原始系统进行变换得到一个新系统，从而避免了一个约束条件。提出了一种新颖的自适应律来保证具有规定性能的原始参数辨识。最后，给出了仿真和过程实例来说明研究结果。
