弹性飞机的混合H_2/H_∞最优PID控制器参数优化  

Parametric optimization for mixed H_2/H_∞ optimal PID controller of a flexible aircraft

作　　者：章萌[1,2] 李爱军[2] 刘世民 

机构地区：[1]鲁东大学电子与电气工程学院,烟台264025 [2]西北工业大学自动化学院,西安710072 [3]中航工业第一飞机设计研究院第6研究所,西安710089

出　　处：《振动与冲击》2011年第10期197-202,共6页Journal of Vibration and Shock

基　　金：航空科学基金(20080553018)

摘　　要：基于弹性飞机的降阶模型设计控制器时需要考虑模型降阶带来的降阶误差,这就需要设计的控制器具有较强的鲁棒性。为此,以某弹性飞机12阶模型为例,研究了基于弹性飞机降阶模型的混合H2/H∞最优PID控制器的参数优化。首先基于平衡截断法得到了6阶降阶模型。然后,根据全阶模型和降阶模型的频域降阶误差选取了合适的鲁棒加权函数。之后,给出了闭环系统跟踪误差H2范数的一种简化计算方法用于H2/H∞优化指标的计算。最后基于差分进化算法进行了混合H2/H∞最优PID控制器的参数寻优。仿真结果表明,与H∞混合灵敏度控制器相比,优化得到的混合H2/H∞最优PID控制器具有更强的鲁棒性,能同时镇定参数和非参数两种不确定性。对弹性形变模态也有较好的抑制作用,刚性模态也取得了很好的响应效果。Generally,a flexible aircraft＇s controller is designed based on a reduced-order model.But there are reduction errors due to model reduction,so it is needed to design a controller with strong robustness.In order to solve the problem,mixed H2/H∞ optimal PID controller parametric optimization was studied based on a reduced-order model of a flexible aircraft with 12-order.Firstly,the balanced truncation reduction method was employed to get a reduced-order model with 6-order.Secondly,the suitable robust weighting functions were selected based on the model reduction errors in frequency domain.And then,in order to compute the H2/H∞ performance index,a simplified computation method of H2 norm of system errors was proposed.At last,a difference evolution algorithm was employed to optimize the parameters of the mixed H2/H∞ optimal PID controller.Simulation results indicated that the order of the mixed H2/H∞ optimal PID controller can stabilize the parameter and non-parameter uncertainties simultaneously.The stabilization of elastic structure deformation and the control requirement of rigid modes were also accomplished effectively.

关 键 词：弹性飞机 最优PID控制器 参数优化 H2/H∞优化指标 差分进化算法 

分 类 号：V249[航空宇航科学与技术—飞行器设计]