Optimal Steady-State Control for Linear Time-Invariant Systems
Optimal Steady-State Control for Linear Time-Invariant Systems
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DOI：
10.1109/cdc.2018.8619812
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发表时间：
2018-10
期刊：
影响因子：
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通讯作者：
L. Lawrence;Zachary E. Nelson;Enrique Mallada;J. Simpson-Porco
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文献类型：
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作者：
L. Lawrence;Zachary E. Nelson;Enrique Mallada;J. Simpson-Porco
我们考虑的问题，设计一个反馈控制器，引导输入和输出的线性时不变系统的凸优化问题的最小值。该系统受到一个未知的干扰，确定由系统平衡约束定义的可行集。我们所提出的设计在稳态下强制执行Karush-Kuhn-Tucker最优性条件，而不将对偶变量纳入控制器。我们证明了输入和输出变量达到最优平衡，并概述了两个程序设计控制器，稳定的闭环系统。我们通过简单的例子和模拟来探索关键思想。
We consider the problem of designing a feedback controller that guides the input and output of a linear time-invariant system to a minimizer of a convex optimization problem. The system is subject to an unknown disturbance that determines the feasible set defined by the system equilibrium constraints. Our proposed design enforces the Karush-Kuhn-Tucker optimality conditions in steady-state without incorporating dual variables into the controller. We prove that the input and output variables achieve optimality in equilibrium and outline two procedures for designing controllers that stabilize the closed-loop system. We explore key ideas through simple examples and simulations.