采用PSOGSA算法的水电机组调节系统非线性鲁棒控制研究

Study on nonlinear robust control of hydropower unit regulation system using PSOGSA algorithm

针对含有非线性与不确定性水电机组调节系统,本文提出并设计了基于粒子群与引力搜索混合算法(PSOGSA)的非线性鲁棒H2/H∞控制策略对其进行控制。首先,建立了水电机组调节系统整体精细化模型,其中水轮机模型采用BP神经网络描述予以描述。然后,采用输出反馈线性化理论以及线性矩阵不等式(LMI)设计非线性鲁棒H_(2)/H_(∞)控制器,以确保系统在存在扰动情况下具有良好的鲁棒H_(2)/H_(∞)性能。此外,为了使控制器的控制性能最优化,通过PSOGSA算法对控制器加权函数参数进行寻优操作。最后,通过仿真表明,本文提出的基于PSOGSA的非线性鲁棒H_(2)/H_(∞)控制策略在提高水电机组调节系统的稳定性以及抗干扰能力上具有优势,也为实际水电机组控制应用提供一种有效的参考方案。

In addressing the nonlinear and uncertain characteristics of hydroelectric unit regulation systems(HURS),this paper presents a new design of a nonlinear robust H_(2)/H_(∞) control strategy based on Particle Swarm Optimization and Gravitational Search Algorithm(PSOGSA).Firstly,a refined comprehensive model of a HURS is developed,with the turbine model described by BP neural networks.Then,the output feedback linearization theory and linear matrix inequalities were used to design a nonlinear robust H_(2)/H_(∞) controller to ensure the system’s good robust H_(2)/H_(∞) performance against disturbances.A PSOGSA algorithm is adopted to optimize the parameters of the weighted functions of the controller so as to achieve its optimal performance.Simulation results indicate this PSOGSA-based nonlinear robust H_(2)/H_(∞) control strategy has advantages in improving the HURS stability and capability against disturbances,providing an effective approach for practical HURS design.