Economic optimization using model predictive control with a terminal cost

By R. Amrit, James B. Rawlings, David Angeli. Annual Reviews in Control, 2011

429 citations recorded by the source corpus.

Subfields: Cardiology and Cardiovascular Medicine, Control and Systems Engineering, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/b37a2f5e94fa40d1962034c79fa4fd133b928805

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Cardiology and Cardiovascular Medicine

In Control and Systems Engineering

In Electrical and Electronic Engineering

Citations in the corpus

Asymptotic stability and transient optimality of economic MPC without terminal conditions (2014, background): “, in [1, 3] in an averaged infinite horizon sense.”
Safe Reinforcement Learning Using Robust MPC (2019, background): “While the literature on RL does not discuss the properties of the cost function (or rather reward function in RL), the distinction is relevant in relation to the stability properties of the closed-loop system and a thorough discussion on economic MPC can be found in [30], [31], [32].”
Approximation Properties of Receding Horizon Optimal Control (2016, background): “Its importance for receding horizon control was first observed in [5,6].”
On Average Performance and Stability of Economic Model Predictive Control (2012, neutral): “Av[u1] ⊆ [0, 1].”
NMPC without terminal constraints (2012, background): “In a series of papers (Angeli et al. [2009], Angeli and Rawlings [2010], Diehl et al.”
Using Nonlinear Model Predictive Control for Dynamic Decision Problems in Economics (2015, background): “, Amrit et al. (2011); Angeli et al. (2009); Angeli and Rawlings (2010); Diehl et al.”
Fundamentals of economic model predictive control (2012, methodology): “Ṽf ( f (x,κ f (x)))−Ṽf (x)≤−(`(x,κ f (x))+ `(xs,us) −λ ( f (x,κ f (x)))−λ (x)) =−L(x,κ f (x))+L(xs,us) Having demonstrated that the pair (Ṽf ,L) satisfies Assumption 3 and noting that dissipativity once again guarantees that (22) holds, one can use the same proof techniques used for terminal regions”
A tutorial review of economic model predictive control methods (2014, background): “As argued in [4,141], the use of a (terminal) region is superior to the point-wise terminal constraint.”
Online Optimal Control with Linear Dynamics and Predictions: Algorithms and Regret Analysis (2019, background): “In the control community, studies on the above problem focus on economic model predictive control (EMPC), which is a variant of model predictive control (MPC) with a primary goal on optimizing economic costs [9, 10, 11, 12, 13, 14, 15, 16].”
On the role of dissipativity in economic model predictive control (2015, methodology): “…and studied in the literature, using different assumptions and/or additional terminal constraints or cost terms, see, e.g., (Angeli et al., 2012; Amrit et al., 2011; Heidarinejad et al., 2012; Müller et al., 2013b; Grüne, 2013; Ferramosca et al., 2014) and the recent survey article by Ellis…”