基于LMI的航空发动机鲁棒H_∞控制器设计

 研究了系统矩阵均具有参数不确定性系统的非标准H_∞鲁棒控制问题。基于 LMI的H_∞控制器设计方法,给出了参数不确定性系统用 3个线性矩阵不等式表征的非标准H_∞控制问题可解的充分必要条件,采用“内点法”求解线性矩阵不等式,可得使闭环系统对于所有可能的参数不确定性均二次稳定且传递函数的H∞ 范数 γ有界的鲁棒控制解。该方法应用于非“标准”系统——某型双转子涡喷发动机稳态双变量调节控制器的设计,通过在气动热力学模型上的仿真结果表明,取得了良好的结果。

ROBUST H∞ CONTROLLER DESIGN FOR AERO-ENGINE BASED ON LMI

In this paper the non standard robust H ∞ control problem for the systems with parameter uncertainty in all system matrices is investigated. Based on the Linear Matrix Inequality H_∞ controller designing approach, the necessary and sufficient condition that the non standard H_∞ control problem for the systems with parameter uncertainty can be solved is obtained in terms of three linear matrix inequalities. Applying the interior point methods to solve the LMIs, the robust control solutions that stabilize the close loop system quadratically and guarantee the H_∞ norm of transfer function of close loop system bound γ for all possible uncertainties are constructed. This method is applied to design the steady state two variable regulating controller of a non standard system——a certain double spool turbojet aero engine. And through the simulation results on aero thermodynamic model, it shows that a preferable effect is achieved.