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针对航空发动机全包线内参数变化范围较大,单一控制器很难保证全包线内的控制效果的问题,提出了基于切换多胞线性变参数(LPV)的发动机全包线中间状态控制方法.根据发动机的进口条件将飞行包线分为相互重叠的子区域,将多胞理论及状态重置切换方法引入控制器求解,给出了能够保证切换多胞LPV系统鲁棒稳定的线性矩阵不等式(LMI)条件;利用求解出的Lyapunov矩阵设计各子区域的LPV控制器,并结合几何位置调度策略实现子区域LPV控制;利用局部重叠的滞后切换策略和状态重置切换律实现全包线内各控制器的切换,并证明了该闭环切换系统的稳定性.最终以某型涡扇发动机为研究对象进行仿真验证,结果表明:采用该控制方法稳态误差能够控制在0.1%以内,超调量不大于0.5%.
Aiming at the problem that the control parameters in the all-envelop are difficult to be guaranteed by a single controller because of the wide range of parameters in the aero-engine all-envelop, a method for controlling the all-enveloping state of the engine based on the multi-linear variable parameter (LPV) According to the inlet conditions of the engine, the flight envelopes are divided into overlapping subregions, and the multi - cell theory and the state reset switching method are introduced into the controller to solve the problem. The linear matrix inequalities which can guarantee robust stability of switched LPV systems are given. (LMI). Using the obtained Lyapunov matrix, the LPV controller of each subregion is designed, and the subregion LPV control is implemented in combination with the geometric position scheduling strategy. The local overlapping lag switching strategy and the state reset switching law are used to realize the all- The switching of each controller and the stability of the closed-loop switching system are proved.Finally a certain type of turbofan engine is simulated and verified by the simulation results. The results show that the steady-state error can be controlled within 0.1% The amount is not more than 0.5%.