Title :
A Model predictive control scheme with ultimate bound for economic optimization
Author :
Alessandretti, Andrea ; Pedro Aguiar, A. ; Jones, Colin N.
Author_Institution :
Ecole Polytech. Fed. de Lausanne (EPFL), Lausanne, Switzerland
Abstract :
This paper presents a Model Predictive Control (MPC) scheme for nonlinear continuous-time systems where an economic stage cost, which is not a measure of the distance to a desired set point, is combined with a classic stabilizing stage cost. The associated control strategy leads to a closed-loop behavior that in a seamless way compromises between the convergence of the closed-loop state trajectory to a given steady-state and the minimization of the economic cost. More precisely, we derive a set of sufficient conditions under which the closed-loop state trajectory is ultimately bounded around the desired steady-state, with the size of the bound being proportional to the strength of the economic cost. Numerical results show the effectiveness of the proposed scheme on a simultaneous target estimation and tracking control problem.
Keywords :
closed loop systems; continuous time systems; convergence; costing; economics; nonlinear control systems; optimisation; predictive control; MPC; closed-loop behavior; closed-loop state trajectory; control strategy; convergence; economic cost minimization; economic optimization; economic stage cost; model predictive control; nonlinear continuous-time systems; stabilizing stage cost; steady-state; sufficient conditions; target estimation; tracking control problem; ultimate bound; Convergence; Economics; Observability; Optimization; Steady-state; Trajectory; Vehicles;
Conference_Titel :
American Control Conference (ACC), 2015
Conference_Location :
Chicago, IL
Print_ISBN :
978-1-4799-8685-9
DOI :
10.1109/ACC.2015.7170970