基于间隙度量的鲁棒LPV控制律设计

Robust LPV control design using the gap metric

针对高超声速飞行器飞行包线范围广和模型参数不确定性大的问题,提出了基于间隙度量的鲁棒线性变参数(LPV,Linear Parameter-Varying)控制律设计方法.该方法将间隙度量引入LPV控制器设计中,提出了基于最优间隙度量的凸分解策略,并将其应用于多胞顶点的分解和鲁棒LPV控制器的自增益调参,以降低控制器的保守性;考虑模型的参数不确定性求取多胞LPV系统的顶点模型并设计顶点控制器,以提高顶点边界附近LPV控制器的鲁棒性;以某型高超声速飞行器为对象设计了鲁棒LPV控制器.仿真结果表明:该方法能降低大包线内控制器的保守性,实现高超声速飞行器在整个设计包线内精确的指令跟踪,并且在模型参数存在大的不确定性情况下仍保证系统的鲁棒性能和稳定性.

A new robust linear parameter-varying （LPV） controller design method based on gap-metric was presented for the wide flight envelope and strong model parameters uncertainties of hypersonic vehicle. A new convex decomposition strategy with the optimal gap-metric was proposed. In order to reduce the conserva tiveness of the controller, self-scheduled LPV control was implemented using the new strategy. Vertex models of the polytopic LPV system were solved considering the model parameters uncertainties to improve the robust ness of the controller nearby the vertex boundary. The new design approach was applied to the hypersonic ve hicle. Simulation results show that this new method can reduce the conservativeness of traditional LPV control lers. The command tracking and robustness of the LPV control system are in satisfactory performances. The ro- bust performance and stability of the system under strong parameters uncertainties are also guaranteed.