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Finite-Time Distributed Economic Dispatch Over Network Systems With Coupled Local Costs

Majid Firouzbahrami, Amin Nobakhti

2022IEEE Control Systems Letters34 citationsDOI

Abstract

This letter addresses the problem of economic dispatch for network systems where the local cost functions are coupled through their decision variables. Using Lyapunov based techniques, a continuous-time algorithm is developed which guarantees finite-time convergence to the optimal solution. This makes it possible to predetermine the system convergence time based on the initial conditions. Unlike many previous studies, the local cost functions in this letter can be nonconvex and coupled through their decision variables. It is only required that their sum is strongly convex. To verify the effectiveness of the proposed results, an illustrative example is studied.

Topics & Concepts

Convergence (economics)Economic dispatchMathematical optimizationLyapunov functionComputer scienceRegular polygonConvex functionFinite setMathematicsEconomicsNonlinear systemElectric power systemGeometryMathematical analysisPower (physics)Economic growthQuantum mechanicsPhysicsDistributed Control Multi-Agent SystemsMicrogrid Control and OptimizationAdaptive Dynamic Programming Control