基于二阶滑模控制理论的新型滚转稳定控制器

为了降低导弹飞行中不确定因素等对弹体滚转稳定的影响,设计两种新型基于二阶滑模控制理论的滚转稳定控制器,即基于二阶滑模控制理论的控制器与基于super-twisting算法的控制器.第一种控制器能够稳定地控制滚转角收敛至期望值,而第二种控制器不仅能够有效降低气动参数不确定性对弹体滚转控制造成的影响,而且能控制滚转角速度在有限时间内收敛至期望值,并有效抑制滑模算法固有的抖振现象.通过构造Lyapunov函数对所设计控制器的稳定性进行理论验证,将所设计的两种控制器与基于线性滑模控制理论的控制器和基于终端滑模控制理论的控制器进行仿真对比,并考虑不同攻角条件下气动参数的影响,以验证所设计的控制器的有效性、快速性和鲁棒性.

Novel roll stabilization controllers based on second-order sliding mode control theory

In order to counteract the undesired performance resulted from the rolling instability during the engagement phase, two novel methods for roll stabilization controllers based on the second-order sliding mode theory are proposed, which are based on the second-order sliding mode and the super-twisting algorithm, respectively. The first method can drive the roll angle converge to the desired value, while the second method not only can reduce the effect from the uncertainties in the aerodynamical parameters, but also can drive the roll rate converge to the desired value in finite time and stay in it. The chattering from the sliding mode algorithm can also be suppressed efficiently. The stabilization of the proposed controllers can be verified by constructing the Lyapunov function. The two proposed controllers and other reference controllers, which are respectively based on the linear sliding mode and the terminal sliding mode theories, are simulated contrastly and the effect from dynamic parameters in different attack angles is taken into account. The effectiveness, rapidity and robustness of the proposed controller is also verified by simulations.