航空发动机T-S分布式系统自适应鲁棒滑模控制

Adaptive Robust Sliding Mode Control for

关键词:  航空发动机  分布式控制系统  T-S模糊模型  滑模控制  不确定性

Key words:  Aeroengine  Distributed control system  T-S fuzzy model  Sliding mode control  Uncertainty

摘要:

为提高航空发动机非线性不确定分布式控制系统的鲁棒性，考虑参数摄动，外部干扰，随机时延的影响，采用一种基于飞行包线划分的航空发动机T-S模糊模型，进行了鲁棒自适应滑模控制方法的研究。基于鲁棒[H∞]理论，针对模糊规则的状态空间模型，推导了滑模运动渐进稳定的充分条件，设计具有扰动抑制性能的鲁棒滑模面；基于并行分布补偿技术，采用与T-S模型相同的模糊规则，确定全局模糊滑模控制器设计策略，在此基础上，采用自适应技术估计未知干扰上界，设计了自适应滑模控制器，并证明了系统在控制器作用下的到达性。仿真结果表明该方法能够保证系统渐进稳定，对所考虑的不确定性因素鲁棒性较好，有效削弱了抖振，对不同工作点和干扰条件具有良好的适应性。

Abstract:

In order to improve the robustness of aeroengine nonlinear uncertain distributed control system(DCS)，considering the impact of parameter perturbation，external disturbance，as well as the random time delay，the robust adaptive sliding mode control method analysis was conducted by employing a class of aeroengine T-S fuzzy model based on flight envelop division. For each state space model of the fuzzy rules，the sufficient condition for the asymptotical stability of sliding mode motion was deduced based on robust [H∞] theory，and the robust sliding mode surface with disturbance rejection performance was designed. Then the global fuzzy sliding mode controller strategy was identified based on the parallel distributed compensation technology，which shares the same fuzzy rules with the T-S model. On this base，the adaptive sliding mode controller was designed，in which the unknown disturbance upper bound was estimated using the adaptive technology. Then the system’s reachability performed by the controller was proved. Simulation results show that the proposed method could confirm the system’s asymptotical stability. The system robustness against the considered uncertainties is strengthened，and the chattering is weakened effectively. Besides，the controller shows good flexibility to different working point and disturbance condition.