四翼变掠角飞行器模糊建模及受约束飞行控制

Fuzzy modeling and constrained flight control of four-wing variable sweep aircraft

针对四翼变掠角飞行器具有强非线性和控制量受约束的特点,对其爬升平飞过程进行了多项式模糊建模及受约束多项式模糊飞行控制律设计。首先,对四翼变掠角飞行器建立了气动模型和非线性动力学模型;基于该非线性动力学模型采用鸽群算法进行轨迹优化得到参考轨迹,进而构建了飞行器的多项式模糊模型。然后,采用平方和理论设计了控制受约束的多项式模糊飞行控制律,并基于Lyapunov理论分析了系统的渐近稳定性。最后,通过MATLAB仿真验证了所设计的控制器能使飞行器在有初始偏差的情况下准确地跟踪参考轨迹;进一步,与常规线性二次型调节器方法进行了仿真对比,结果表明本文设计的多项式模糊控制器能够避免控制量饱和。

For the characteristics of strong nonlinearity and constrained control amount of four-wing variable swept angle aircraft,the polynomial fuzzy modeling and constrained polynomial fuzzy flight control law of the climbing and flat flying are performed.Firstly,the aerodynamic model and nonlin-ear dynamic model of the four-wing variable swept angle aircraft were established.Based on this nonlinear dynamic model,the pigeon flock algorithm is used to optimize the trajectory to obtain the reference trajectory,and then the polynomial fuzzy model of the aircraft is constructed.Then,the polynomial fuzzy flight control law that controls the constrained polynomial is designed using the sum of squares theory,and the asymptotic stability of the system is analyzed based on the Lyapunov theo-ry.Finally,the MATLAB simulation verifies that the designed controller can enable the aircraft to accurately track the reference trajectory in the case of initial deviation.Furthermore,compared with the conventional linear quadratic regulator method,the results show that the polynomial fuzzy con-troller designed in this paper can avoid the saturation of the amount of control.