面向大不确定性的价值迭代主动鲁棒控制方法

Value Iterative Active Robust Control Method for Large Uncertainty

  • 摘要: 针对具有部分不可观测状态的大不确定性系统最优控制问题,提出一种基于输出反馈的自适应价值迭代控制方法。首先,构建一种基于RBF(径向基函数)神经网络的状态观测器,用于估计系统中不可观测的状态量,基于李雅普诺夫稳定性理论设计网络权值自适应律,实现了不可观测状态的渐近估计。其次,建立融合RBF神经网络观测器的VI(价值迭代)框架,基于系统输出和输入数据流求解代数Riccati方程,获得系统最优控制律。利用李雅普诺夫方法完成了稳定性和收敛性分析,证明了闭环系统是一致最终有界的。最后,针对高超声速飞行器大范围机动时产生的大不确定性和部分不可观测状态,设计了自适应鲁棒控制器并开展仿真实验,结果表明所设计的控制器在存在大范围机动不确定性的情况下仍能保持系统的稳定与优良跟踪性能。

     

    Abstract: For the optimal control problem of large uncertainty systems with partially unobservable states, an output feedback adaptive value iteration control method is proposed. Firstly, a state observer based on RBF (Radial Basis Function) neural network is constructed to estimate the unobservable states of the system; based on Lyapunov stability theory, an adaptive law for network weights is designed, achieving asymptotic estimation of the unobservable states. Secondly, a VI (Value Iteration) framework incorporating the RBF neural network observer is established; based on the system output and input data streams, the algebraic Riccati equation is solved to obtain the optimal control law of the system. Stability and convergence analyses are completed using the Lyapunov method, proving that the closed-loop system is uniformly ultimately bounded. Finally, for the large uncertainties and partially unobservable states generated during large-scale maneuvers of hypersonic vehicles, an adaptive robust controller is designed and simulation experiments are conducted; the results show that the designed controller can maintain system stability and excellent tracking performance even in the presence of large-scale maneuver uncertainties.

     

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