基于状态相关Riccati方程的非线性模型预测控制

K. Belarbi, H. Boumaza, B. Boutamina
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引用次数: 1

摘要

在这项工作中,我们介绍了一种基于所谓的状态相关Riccati方程(SDRE)的非线性模型预测方法。在这种方法中,首先将模型转换为类似于线性状态空间表示的形式。然后基于与线性二次型调节器的相似性构造代数Riccati方程,得到稳定的NMPC。该方法要求在每个采样周期求得Riccati方程的解。仿真结果相当令人鼓舞。
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Nonlinear model predictive control based on state dependent Riccati equation
In this work, we introduce an approach to nonlinear model predictive based on the so-called state dependent Riccati equation, SDRE. In this approach, the model is first cast in a form similar to the linear state space representation. Then the algebraic Riccati equation is constructed based on a similarity with the linear quadratic regulator to obtain stable NMPC. The method requires the solution of the Riccati equation at each sampling period. Simulation results are quite encourageing.
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