Zhang Jianhua, Pu Jinzhu, Ren Mifeng, Zhang Qichun
State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing, 102206, China.
School of Control and Computer Engineering, North China Electric Power University, Beijing, 102206, China.
ISA Trans. 2023 Aug;139:135-142. doi: 10.1016/j.isatra.2023.05.006. Epub 2023 May 16.
In this paper, a non-Gaussian disturbance rejection control algorithm for a class of nonlinear multivariate stochastic systems is studied. Based on the moment-generating functions obtained from the deduced probability density functions of the output tracking errors, a new criterion representing the stochastic properties of the system is proposed, motivated by a minimum entropy design. A time-variant linear model can be established by the sampled moment-generating functions. Using this model, a control algorithm is developed that minimizes the newly developed criterion. Moreover, a stability analysis is performed for the closed-loop control system. Finally, simulation results of a numerical example demonstrate the effectiveness of the presented control algorithm. The contribution and novelty of this work can be summarized as follows: (1) a novel non-Gaussian disturbance rejection control scheme is proposed based on the minimum entropy principle, (2) the randomness of the multi-variable non-Gaussian stochastic nonlinear system is attenuated based on the new performance criterion, (3) a theoretical convergence analysis has been given for the proposed control system, and (4) a potential framework has been established for the design of a general stochastic system control.
本文研究了一类非线性多变量随机系统的非高斯干扰抑制控制算法。基于从推导的输出跟踪误差概率密度函数中获得的矩生成函数，受最小熵设计的启发，提出了一种表示系统随机特性的新准则。通过采样的矩生成函数可以建立一个时变线性模型。利用该模型，开发了一种使新提出的准则最小化的控制算法。此外，对闭环控制系统进行了稳定性分析。最后，一个数值例子的仿真结果证明了所提出控制算法的有效性。这项工作的贡献和新颖性可总结如下：（1）基于最小熵原理提出了一种新颖的非高斯干扰抑制控制方案；（2）基于新的性能准则减弱了多变量非高斯随机非线性系统的随机性；（3）对所提出的控制系统进行了理论收敛分析；（4）为一般随机系统控制的设计建立了一个潜在的框架。
