MPC/LQG for Infinite-Dimensional Systems Using Time-Invariant Linearizations

机译：使用时不变线性化的MPC / LQG用于无限维系统

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We provide a theoretical framework for model predictive control of infinite-dimensional systems, like, e.g., nonlinear parabolic PDEs, including stochastic disturbances of the input signal, the output measurements, as well as initial states. The necessary theory for implementing the MPC step based on an LQG design for infinite-dimensional linear time-invariant systems is presented. We also briefly discuss the necessary ingredients for the numerical computations using the derived theory.

机译：我们为无限维系统的模型预测控制提供了理论框架，例如非线性抛物线PDE，包括输入信号的随机干扰，输出测量以及初始状态。提出了实现基于LQG设计的无穷维线性时不变系统MPC步骤的必要理论。我们还将简要讨论使用派生理论进行数值计算的必要成分。

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《IFIP TC 7 conference on system modeling and optimization》|2013年|217-224|共8页
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Peter Benner; Sabine Hein;
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机译：无限大离散时不变线性系统的最优输入输出稳定
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机译：无限维离散时不变线性系统的最优状态反馈输入输出镇定
4. Comparison of Model Predictive Control (MPC) and Linear-Quadratic Gaussian (LQG) Algorithm for Electrohydraulic Steering Control System [J] . Alexander Mitov, Jordan Kralev, Tsonyo Slavov, E3S Web of Conferences . 2020,第10期

机译：电液转向系统模型预测控制（MPC）和线性二次高斯（LQG）算法的比较
5. MPC/LQG for Infinite-Dimensional Systems Using Time-Invariant Linearizations [C] . Peter Benner, Sabine Hein IFIP TC 7 Conference . 2013

机译：MPC / LQG使用时间不变线性化的无限维系统
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机译：通过利用AFD型算法，频域系统识别线性时间不变的单输入单输出二维系统和多输入多输出1维系统
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机译：无限维实希尔伯特空间中分裂DC程序的混合近端线性化算法
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机译：使用时不变线性化的无限维系统的mpC / LQG
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机译：有限维非线性系统的线性和双线性无限维表示

MPC/LQG for Infinite-Dimensional Systems Using Time-Invariant Linearizations

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