多性能指标约束下的涡扇发动机大包线抗扰控制

Disturbance rejection control of turbofan engine large envelope with multiple performance indicators constraints

中文关键词  涡扇发动机  大包线  非线性变参数模型  状态扰动  多性能指标约束

英文关键词  turbofan engines  large envelope  nonlinear parameter-varying model  state disturbance  multiple performance indicators constraints

中文摘要

      针对涡扇发动机系统会受到状态扰动且需满足给定的多性能指标约束问题, 本文基于大包线非线性变参数模型, 设计了一种鲁棒非线性控制器. 首先, 将状态扰动对系统的影响看作系统参数的不确定性; 其次, 将性能指标约束转化为对系统状态误差的约束, 通过设计指数衰减函数, 限制系统的状态误差, 进而使系统满足期望的性能指标; 最后, 采用多项式平方和技术, 得到了控制器的可解性条件, 并通过Lyapunov稳定性理论证明了闭环系统的稳定性. 仿真结果说明, 本文提出的控制方法使得涡扇发动机对状态扰动有明显的抑制作用, 且闭环系统满足给定的动态和稳态性能指标.

英文摘要

      To provide prescribed multiple performances for turbofan engine subject to state disturbances, a robust nonlinear controller is designed based on the large-envelope nonlinear parameter-varying (NPV) model in this paper. Firstly, the influence of state disturbances on the turbofan system is regarded as the parameter uncertainty in the system parameters. Then, constraints on performance indicators are translated into constraints on state error. Next the exponential decay function is designed to limit the state error, so that the system can meet the prescribed performance indicators. Finally, the solvability conditions of the controller are obtained via sum of squares (SOS) technique, and the stability of the closed-loop system is proved by the Lyapunov stability theory. Simulation results on a two-axis turbofan engine show that the proposed control method can effectively suppress state disturbances on the turbofan engine and the control system meets the given performance index constraints such as adjustment time, overshoot, and steady-state error.