In order to improve the precision attack ability of roll guided projectile, an optimal nonlinear sliding mode controller is investigated. Based on optimization theory, nonlinear sliding manifold is designed. The control surface deflection law is obtained, and the system state quickly reaches the sliding manifold, and then sliding mode happens. The controller achieves tracking the control commands. Numerical results show that the nonlinear controller achieves excellent tracking performance, exhibits excellent ability to deal with the roll guided projectile nonlinear coupling and exhibits insensitivity to parameter variations over a wide flight envelope.%为了提高制导炮弹的精确打击能力,研究了一种非线性滑模变结构控制器.利用近似最优控制理论确定了非线性滑模面,并设计了舵面的控制律,使得系统状态快速达到并保持在滑模面,采用指数趋近律和饱和函数减轻了滑模控制带来的抖振,实现对控制指令的跟踪.仿真表明,设计的非线性控制器能有效处理制导炮弹的非线性耦合问题,快速响应控制指令,并且在气动参数摄动时体现出较强的鲁棒性,具有良好的工程应用前景.
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