【摘要】 提出了基于线性矩阵不等式(Linear Matrix Inequality,LMI)的带有时滞的离散分段线性系统状态反馈最优控制规律,并将其应用于航空发动机控制器设计中。基于某型双轴航空涡扇发动机地面试车非线性模型,使用小偏差法建立了该发动机离散线性状态空间模型。基于线性模型,实现了基于LMI的控制器增益的计算,并在非线性模型上进行了仿真试验。仿真结果表明,在大工况范围下,LMI控制器较传统的PID控制器,能有效缩短发动机的动态响应时间并降低超调量。更多还原

【Abstract】 The state feedback optimal control theory based on the linear matrix inequality(LMI) for the discrete piecewise linear system with time delay was designed and proved,and was used in the aero-engine discrete linear model control.A discrete linear system was get based on the nonlinear model made by a certain type two-spool turbofan engine ground test data,and controller was obtained by using the MATLAB LMI toolbox.Simulation based on the engine ground test data model shows that the state feedback optimal controller performs better than the traditional PID controller in the dynamic response ability and robustness of the engine.更多还原