Title :
On Constrained Steady-State Regulation: Dynamic KKT Controllers
Author :
Andrej Jokic;Mircea Lazar;Paul P. J. van den Bosch
Author_Institution :
Dept. of Electr. Eng., Eindhoven Univ. of Technol., Eindhoven, Netherlands
Abstract :
This technical note presents a solution to the problem of regulating a general nonlinear dynamical system to an 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. The proposed solution is based on a specific dynamic extension of the Karush-Kuhn-Tucker optimality conditions for the steady-state related optimization problem, which is conceptually related to the continuous-time Arrow-Hurwicz-Uzawa algorithm. Furthermore, it can be interpreted as a generalization of the standard output regulation problem with respect to a constant reference signal.
Keywords :
"Steady-state","Environmental economics","Nonlinear dynamical systems","Constraint optimization","Optimal control","Time varying systems","Nonlinear control systems","Control systems","Production facilities","Production systems"
Journal_Title :
IEEE Transactions on Automatic Control
DOI :
10.1109/TAC.2009.2026856