论文标题
优化基于国家依赖的Riccati方程的反馈控制的半线性表示
Optimizing semilinear representations for State-dependent Riccati Equation-based feedback control
论文作者
论文摘要
提出了针对非线性最佳反馈稳定的状态依赖性RICCATI方程（SDRE）方法的优化变体。所提出的方法是基于与动力学及其仿射组合相关的等效半线性表示的构建。选择最佳组合是为了最大程度地减少SDRE控制和最佳反馈定律之间的差异，该法律是由相应的汉密尔顿雅各比·贝尔曼（HJB）方程的解决方案所产生的。数值实验在闭环的稳定性方面评估了该方法的有效性，并且近乎最佳的性能。
An optimized variant of the State Dependent Riccati Equations (SDREs) approach for nonlinear optimal feedback stabilization is presented. The proposed method is based on the construction of equivalent semilinear representations associated to the dynamics and their affine combination. The optimal combination is chosen to minimize the discrepancy between the SDRE control and the optimal feedback law stemming from the solution of the corresponding Hamilton Jacobi Bellman (HJB) equation. Numerical experiments assess effectiveness of the method in terms of stability of the closed-loop with near-to-optimal performance.
