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A Distributionally Robust Optimization Based Method for Stochastic Model Predictive Control

delete2022-11-01
delete97
PRE
AI
B
Bin Li
谭
谭元 (Yuan Tan)
吴
吴爱国 (Ai‐Guo Wu) *
G
Guang‐Ren Duan
DOI:10.1109/TAC.2021.3124750delete
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摘要

摘要

En 中文
Two stochastic model predictive control algorithms, which are referred to as distributionally robust model predictive control algorithms, are proposed in this article for a class of discrete linear systems with unbounded noise. Participially, chance constraints are imposed on both of the state and the control, which makes the problem more challenging. Inspired by the ideas from distributionally robust optimization (DRO), two deterministic convex reformulations are proposed for tackling the chance constraints. Rigorous computational complexity analysis is carried out to compare the two proposed algorithms with the existing methods. Recursive feasibility and convergence are proven. Simulation results are provided to show the effectiveness of the proposed algorithms.
Keyword:
Optimization
Stochastic processes
Predictive control
Prediction algorithms
Convergence
Computational complexity
Chebyshev approximation
Chance constraints
distributionally robust optimization (DRO)
stochastic model predictive control (SMPC)

期刊

IEEE Transactions on Automatic Control 封面图
IEEE Transactions on Automatic Control
IF:
7
论文数:
1.3W
被引数:
6.7W

机构

S
southeast university - china
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0
论文数: 831
被引数: 0
H
Harbin Institute of Technology
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7.2K
论文数: 2.1K
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S
Sichuan University
学者数:
8.7K
论文数: 2.0K
被引数: 0
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