| Citation: | CHEN Y F，GUO Y Q，MAO H T. Design of time-delay robust cascade PI controller for turboshaft engine[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（3）：597-605 （in Chinese） doi: 10.13700/j.bh.1001-5965.2021.0273
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To address the problem of system performance degradation caused by time delay in the distributed control system of turboshaft engines, this study proposes a method for designing a time-delay robust cascade PI controller based on linear matrix inequalities (LMIs) method. Firstly, the PI controller structure of the inner and outer loops of the cascade controller of the turboshaft engine is obtained according to the internal model control (IMC) method. The constraints in the form of LMI are given by the frequency loop shaping method, which ensures that the system has the desired performance. Then, gradient approximation method is used to derive stability constraints of the system based on the Routh-Hurwitz criterion. Finally, the digital simulation is carried out on the distributed nonlinear simulation platform for the turboshaft engine. The simulation results show that when the power demand drops by 5% with 0.04 s time delay, the adjustment time of the system is less than 5 s, and the power turbine speed overshoot does not exceed 0.5%, with the maximum fuel rate being 67% of the legacy control loop. This shows that the proposed method can effectively deal with the time delay in the turboshaft engine with distributed control system, and ensure the desired system performance at a lower cost .
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