Abstract
This paper presents a solution to the problem of regulating a general nonlinear dynamical system to a time-varying economically optimal operating point. The system is characterized by a set of exogenous inputs as an abstraction of time-varying loads and disturbances. The economically optimal operating point is implicitly defined as a solution to a given constrained convex optimization problem, which is related to steady-state operation. The system outputs and the exogenous inputs represent respectively the decision variables and the parameters in the optimization problem. Complementarity systems are employed as building blocks to construct a dynamic controller that solves the considered regulation problem. The complementarity solution arises naturally via a dynamic extension of the Karush-Kuhn-Tucker optimality conditions for the steady-state related optimization problem.
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Jokic, A., Lazar, M., van den Bosch, P.P.J. (2008). Complementarity Systems in Constrained Steady-State Optimal Control. In: Egerstedt, M., Mishra, B. (eds) Hybrid Systems: Computation and Control. HSCC 2008. Lecture Notes in Computer Science, vol 4981. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78929-1_20
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DOI: https://doi.org/10.1007/978-3-540-78929-1_20
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