T-S模糊跟踪控制在飞行器控制回路中的应用研究

Study on Application of T-S Fuzzy Tracing Control in the Design of the Control Loop of Aerocraft

针对飞行器控制回路设计中的跟踪问题,给出了采用分布并行补偿控制技术的Takagi-Sugeno模糊控制系统实现无静态误差跟踪的定理,利用线性参变系统二次稳定的充要条件证明了满足某飞行器俯仰通道二次稳定的公共正定矩阵P的存在性,考虑控制输入限制和气动参数在其标称值的30%范围内变化的控制品质,利用Matlab软件的LMI工具箱设计了满足闭环系统二次稳定的T-S模糊跟踪控制器,数字仿真的结果表明所设计的控制器满足总体设计的要求。

For the tracing problem in the design of the control loop of aerocraft, a theorem is given which guarantees the Takagi-Sugeno（T-S） fuzzy control systems using parallel distributed compensation technology to realize no static-error tracing. Using the sufficient and necessary condition of quadratic stability for linear parameter varying system, the existence of the common positive matrix P which ensures the quadratic stability of the pitch channel of some aerocraft is proved. Taking other control characters of input limit and the aerodynamic parameters varying within 30~ of their nominal values into consideration, The T-S fuzzy tracing controller which ensures quadratic stability of the close loop system is designed using the LMI toolbox of Matlab software. The results of digital simulation prove the designed controller meet the demands of global frame.