We consider the problem of designing feedback controllers which robustly regulate the inputs and outputs of a linear time-invariant dynamic system to the solution of a steady-state constrained optimization problem. Inspired by traditional approaches for reference tracking and disturbance rejection, we outline a constructive design framework for this problem which we call optimal steady-state control. The key idea in the approach is that a representation of the steady-state optimality conditions should be embedded in the feedback loop. Ideas from robust and nonlinear control can be leveraged to obtain closed-loop stability certificates, and practically-minded low-gain controller designs are discussed. The framework is illustrated with applications to modernized frequency control in power transmission systems.

John W. Simpson-Porco is an Assistant Professor in the Edward S. Rogers Sr. Department Electrical and Computer Engineering at the University of Toronto. His research focuses on feedback control theory and applications of control and optimization in power and energy systems. John received his B.Sc. degree in Engineering Physics from Queen's University in 2010, and his PhD in Mechanical Engineering from the University of California, Santa Barbara in 2015. He was previously an Assistant Professor of Electrical and Computer Engineering at the University of Waterloo, Waterloo, Canada. Prof. Simpson-Porco is a recipient of the Automatica Paper Prize and the IEEE PES Technical Committee Working Group Recognition Award for Outstanding Technical Report. He is currently an Associate Editor for IEEE Transactions on Smart Grid.

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