基于ADP的导引控制一体化全状态受限反演控制

Integrated Guidance and Control Design Using ADP and Backstepping with Full-state Constraints

针对导引控制一体化设计中状态受限及非线性最优问题,提出了一种结合反演控制与自适应动态规划(ADP)技术,考虑全状态受限的新型导引控制一体化设计方法.首先,将状态受限的严格反馈系统通过坐标变换转化为非状态受限系统.然后,采用前馈反演控制与反馈最优控制相结合的设计思路,利用ADP技术在线求解非线性HJB方程得到最优解.最后通过李亚普诺夫理论证明了系统的闭环稳定性与所有信号的一致有界性.与传统方法的对比仿真验证了该设计方法的可行性与优越性.

In terms of the state constraint and nonlinear optimality problem in the integrated guidance and control(IGC)design, a novel IGC design that considers full-state constraints is proposed by combining backstepping and adaptive dynamic programming(ADP). In the first step,a strict feedback system with state constraints is converted into one with no state constraints through coordinate conversion. Then the feed-forward controller design and feedback controller design are combined. The ADP technology is used to solve the nonlinear HJB equation online. Lastly,Lyapunov theory is employed to demonstrate that the closed-loop system is stable and all the signals are bounded. The contrastive simulation results demonstrate the effectiveness and the superiority of the proposed algorithm.