Zhang Wenguang, Yi Wenjun
National Key Laboratory Transient Physics, Nanjing University of Science and Technology, Nanjing, 210094, China.
ISA Trans. 2021 Nov;117:40-53. doi: 10.1016/j.isatra.2021.01.040. Epub 2021 Jan 27.
The adaptive integrated guidance and control issue of missiles with less sensor requirement is investigated in the optimal stabilization problem of an uncertain nonlinear system subjected to state and input constraints. The nonlinear system with partially unmeasurable states is transformed into the non-strict feedback form, firstly. Then, an adaptive observer is designed to approximate the full states, where a disturbance estimator is incorporated to suppress the unmatched external disturbances. Next, by employing a Barrier Lyapunov Function (BLF) and an auxiliary system to tackle the multiple constraints, an adaptive feedforward controller is raised to reduce the stabilization issue of the nonlinear system in non-strict feedback form to the equivalent control problem of an affine nonlinear system. Subsequently, an optimal controller is derived by utilizing adaptive dynamic programming (ADP) theory. The system stability is rigorously proved by using Lyapunov theory. Finally, simulations are performed to validate the effectiveness of the proposed control strategy.
在具有状态和输入约束的不确定非线性系统的最优镇定问题中,研究了对传感器要求较低的导弹自适应集成制导与控制问题。首先,将具有部分不可测状态的非线性系统转化为非严格反馈形式。然后,设计一个自适应观测器来逼近全状态,其中引入一个干扰估计器来抑制未匹配的外部干扰。接下来,通过采用障碍李雅普诺夫函数(BLF)和一个辅助系统来处理多重约束,提出一个自适应前馈控制器,将非严格反馈形式的非线性系统的镇定问题简化为仿射非线性系统的等效控制问题。随后,利用自适应动态规划(ADP)理论推导了最优控制器。利用李雅普诺夫理论严格证明了系统的稳定性。最后,进行仿真以验证所提出控制策略的有效性。