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现有的航空发动机变增益控制器设计多将非线性系统表述为仿射参数依赖形式的LPV系统,在工作状态变化对系统参数特性变化影响较大的情况下存在精确度和保守性问题。为此,提出一种将被控对象表述为更精确的参数多项式依赖形式的LPV模型,并基于多项式平方和规划方法和切换控制相结合,进行鲁棒变增益控制器综合。这种方法考虑航空发动机高压转子转速大范围变化情况,在不同设计点设计具有公共Lyapunov函数的子系统控制器,再根据gap-metric计算子系统间广义距离进行切换控制,从而保证发动机在不同高度和马赫数下都具有良好的控制效果。仿真实验表明,在航空发动机不同转速下,都具有良好的性能和控制精度,并能够实现在包线内不同高度和马赫数下,有效对目标进行变增益控制。
The existing design of variable-gain controllers for aeroengines mostly expresses the nonlinear systems as affine parameter-dependent forms of LPV systems. The precision and the conservative problems exist when the working states have a great influence on the changes of system parameters. For this reason, an LPV model is proposed to express the controlled object as a more precise parametric polynomial dependent form. Based on the combination of polynomial squared sum programming method and switching control, a robust variable gain controller synthesis is proposed. This method takes into account the wide range of rotor speeds of aero-engine high-voltage rotors, designs a subsystem controller with a common Lyapunov function at different design points, and then controls the switching based on the gap-metric to calculate the generalized distance between the subsystems so as to ensure that the engine can operate at different heights And the Mach number has a good control effect. The simulation results show that at different speeds of aeroengines, they have good performance and control precision, and can effectively control the gain of the target under different heights and Mach numbers in the envelope.