基于区域极点配置的航空发动机全包线/LPV控制

根据发动机相似工作原理以及平方和(Sun of squares, SOS)规划,基于发动机全飞行包线的换算线性变参数(Linear parameter varying, LPV)模型,提出了一种基于区域极点配置的航空发动机全包线切换/ LPV控制方法。根据发动机相似换算参数,建立换算状态变量模型。以高压换算转速为调度参数,利用多项式拟合得到全包线慢车以上的换算LPV模型。考虑基于区域极点配置的/LPV控制问题,将LPV闭环系统的极点配置在复平面上一个期望的区域内,并将LPV闭环系统稳定性条件转化为SOS约束,进行控制器求解。基于Lyapunov理论,设计全包线的切换LPV控制器,保证切换闭环系统Lyapunov意义下稳定。仿真结果表明,设计的切换LPV控制器能保证全包线内系统稳定且具有较好的鲁棒性能和动态响应性能。

/LPV Control for Aero-engine in Full Flight Envelope Based on Guardian Maps Theory

Based on the similarity theory and the SOS(sum of squares) programming, taking into account a corrected piecewise LPV(linear parameter varying) model of aero-engine in the whole flight envelope, a switching /LPV control based on the guardian maps theory is proposed. According to the corrected variables, the state space model is converted to the corrected state space model. The corrected high-pressure speed is adopted as the scheduling variable and to fit a corrected LPV model. By incorporating technique and the guardian maps theory, a set of controllers are designed such that the closed loop poles of LPV system lie in a desired area. The stability conditions of the closed loop LPV system are converted to SOS constraints and the controllers are obtained by solving the problem of SOS programming. A switching LPV control for aero-engine in the full envelope is proposed based on the Lyapunov theory. The switching LPV controller can ensure the stability of the closed-loop. The validity and performance of the theoretical results are demonstrated through the numerical simulation.