Title
Functional Nonlinear Model Predictive Control Based on Adaptive Dynamic Programming.
Abstract
This paper presents a functional model predictive control (MPC) approach based on an adaptive dynamic programming (ADP) algorithm with the abilities of handling control constraints and disturbances for the optimal control of nonlinear discrete-time systems. In the proposed ADP-based nonlinear MPC (NMPC) structure, a neural-network-based identification is established first to reconstruct the unknown system dynamics. Then, the actor-critic scheme is adopted with a critic network to estimate the index performance function and an action network to approximate the optimal control input. Meanwhile, as the MPC strategy can effectively determine the current control by solving a finite horizon open-loop optimal control problem, in the proposed algorithm, the infinite horizon is decomposed into a series of finite horizons to obtain the optimal control. In each finite horizon, the finite ADP algorithm solves the optimal control problem subject to the terminal constraint, the control constraint, and the disturbance. The uniform ultimate boundedness of the closed-loop system is verified by the Lyapunov approach. Finally, the ADP-based NMPC is conducted on two different cases and the simulation results demonstrate the quick response and strong robustness of the proposed method.
Year
DOI
Venue
2019
10.1109/TCYB.2018.2859801
IEEE transactions on cybernetics
Keywords
Field
DocType
Optimal control,Dynamic programming,Artificial neural networks,System dynamics,Mathematical model,Predictive control,Heuristic algorithms
Dynamic programming,Mathematical optimization,Optimal control,Nonlinear system,Model predictive control,Robustness (computer science),System dynamics,Artificial neural network,Nonlinear model,Mathematics
Journal
Volume
Issue
ISSN
49
12
2168-2275
Citations 
PageRank 
References 
15
0.50
0
Authors
5
Name
Order
Citations
PageRank
Lu Dong1151.18
Jun Yan217913.72
Xin Yuan3151.18
Haibo He43653213.96
Changyin Sun515012.21