分层模糊广义预测控制及其在挠性航天器振动抑制中的应用

Hierarchical Fuzzy Generalized Predictive Control and Its Application in Vibration Suppression of Flexible Spacecraft

针对广义预测控制计算量大的缺陷,将自适应分层模糊逻辑系统(HFLS)引入广义预测控制,对参数未知线性系统提出一种直接自适应分层模糊广义预测控制方法。该方法直接利用HFLS设计广义预测控制器,并基于广义误差估计值对控制器参数和广义误差估计值中的未知向量进行自适应调整。文中证明了该方法可使广义误差收敛到原点的一个小领域内。由于控制结构中使用了HFLS,避免了模糊控制器中规则数目随系统变量个数呈指数增长问题。仿真结果表明:该方法能快速抑制挠性航天器的低频振动且稳态精度高。

By introducing adaptive hierarchical fuzzy logic system （HFLS） into the generalized predictive control strategy, a direct adaptive fuzzy generalized predictive control method for linear systems with unknown parameters is proposed to overcome the limitation of the large computation load of original generalized predictive control. The method directly employs HFLS to design generalized predictive controller in which the parameters and the unknown vectors in the estimation of generalized error are adjusted adaptively. It is proved that the proposed method can make the generalized error converges to a small neighborhood of the origin. By using HFLS in the control architecture, the problem that the number of rules in a fuzzy controller increases exponentially with the number of involving variables is avoided. The simulation results show that this method is effective for vibration suppression of flexible spacecraft and further it possesses a high precision of steadystate.