广义参数不确定性系统输出反馈控制器设计

Application of Gu H ∞ Control Theory to Design of Controller of Twin Spool Turbojet Engine

对状态空间表达式所有矩阵均含有参数不确定性的鲁棒Ｈ∞控制问题，基于干扰抑制下的二次稳定理论，建立了将其转化为Ｈ∞控制问题的等价关系，提出了一种线性动态输出反馈控制器的设计方法，该控制器在允许的参数不确定范围内使被控对象稳定且使干扰抑制在Ｈ∞范数的一定值内。最后在某型双转子涡喷发动机气动热力学非线性模型上对所述算法进行了仿真验证。

Output feedback controller of turbojet engine is a system with norm bounded parameter uncertainties. When applying K. Gu′s theory to its design, we found it necessary to solve two problems: (1) singularity of H ∞ controller, (2) control system with integrator. We derived eqs.(2) through (6) to solve these two problems theoretically. As a result, theoretically the twin spool turbojet engine can be stabilized and a prescribed level of H ∞ disturbance attenuation for all admissible uncertainties can be guaranteed. Figs. 2 through 5 give simulation results. They show preliminarily that our theoretical solution looks promising.