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Creators/Authors contains: "Lawrence, Liam S."

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Linear-Convex Optimal Steady-State Control

https://doi.org/10.1109/TAC.2020.3044275

Lawrence, Liam S.; Simpson-Porco, John W.; Mallada, Enrique (November 2021, IEEE Transactions on Automatic Control)

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Optimal Steady-State Control for Linear Time-Invariant Systems

https://doi.org/10.1109/CDC.2018.8619812

Lawrence, Liam S.; Nelson, Zachary E.; Mallada, Enrique; Simpson-Porco, John W. (December 2018, 2018 IEEE Conference on Decision and Control (CDC))

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.
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