Zhou Xuejun, Dai Ying, Ghaderpour Ebrahim, Mohammadzadeh Ardashir, D'Urso Pierpaolo
College of Physics and Electronic Information, Yan'an University, Yan'an, 716000, Shaanxi, China.
School of Architecture and Civil Engineering, Shenyang University of Technology, Shenyang, 110870, Liaoning, China.
Heliyon. 2024 Sep 21;10(19):e38279. doi: 10.1016/j.heliyon.2024.e38279. eCollection 2024 Oct 15.
In this paper, a model free control method for a class of discrete time nonlinear systems is introduced. A type-3 fuzzy system estimates the unknown parameters required by the control system. The control system only uses the input and output data of the plant and therefore does not need to know its mathematical equations. On the other hand, the phenomenon of output saturation is a challenging problem for all control systems, addressed in detail in the proposed method. The convergence of the proposed method is guaranteed, and the control system is very robust in the face of changes in the dynamics of the plant. The simulation results on discrete-time nonlinear systems show that the proposed method is very accurate despite the high speed of convergence. In addition, the proposed method is robust for modeling uncertainties and has a better root mean square error and step response time compared to the other methods. Also, a comparison has been made between type-1 to type-3 fuzzy systems and control system based on trial and error, which shows firstly the importance of the presence of fuzzy system and secondly the superiority of type-3 fuzzy system compared to the other two types.
本文介绍了一类离散时间非线性系统的无模型控制方法。一个3型模糊系统估计控制系统所需的未知参数。该控制系统仅使用被控对象的输入和输出数据，因此无需知道其数学方程。另一方面，输出饱和现象对所有控制系统来说都是一个具有挑战性的问题，在所提出的方法中对此进行了详细讨论。所提方法的收敛性得到保证，并且该控制系统在面对被控对象动态变化时非常鲁棒。离散时间非线性系统的仿真结果表明，所提方法尽管收敛速度快，但非常精确。此外，所提方法对建模不确定性具有鲁棒性，并且与其他方法相比具有更好的均方根误差和阶跃响应时间。同时，还对1型到3型模糊系统以及基于试错法的控制系统进行了比较，结果首先表明了模糊系统存在的重要性，其次表明了3型模糊系统相对于其他两种类型的优越性。
