具有能量约束的线性二次高斯系统的最优控制与能量调度
Optimal Control and Energy Scheduling for Linear-Quadratic-Gaussian System with Energy Harvesting Constraints
摘要: 本文考虑了一种带有能量收集约束的能量传输反馈线性二次高斯(LQG)系统的最优控制器合成。该系统面临着选择传输能量给控制器以及每个能量操作成本和能量收集约束的选择。目标是共同选择传输能量和控制器，以在控制性能和成本之间保持最佳平衡。在一定的假设下，这个问题可以分解为两个优化问题：一个用于最优控制器合成，另一个用于最优传输能量选择。最优控制器合成子问题由Riccati方程描述，而最优传输能量选择策略则通过解决某个马尔可夫决策过程(MDP)来找到。最后，我们通过仿真验证了上述方法的有效性。
Abstract: In this paper, we consider the optimal controller synthesis of an energy-transmission-feedback Linear-Quadratic Gaussian (LQG) system with energy harvesting constraints. The system is presented with the choice of transmission energy to the controller along with the cost of operating each energy and energy harvesting constraints. The objective is to jointly select the transmission energy and the controller that would maintain an optimal balance between the control performance and the cost. Under certain assumptions, this problem can be solved in two optimization problems: one for optimal controller synthesis and the other for optimal transmission energy selection. The optimal controller synthesis subproblem is characterized by Riccati equations and the optimal transmission energy selection policy is found by solving a certain Markov-Decision-Process (MDP). In the end, we verify the effectiveness of the above method through a simulation.
文章引用：杨修远. 具有能量约束的线性二次高斯系统的最优控制与能量调度[J]. 理论数学, 2024, 14(4): 375-383. https://doi.org/10.12677/pm.2024.144146

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