Stochastic Model Predictive Control with adaptive constraint tightening for non-conservative chance constraints satisfaction

Automatica ◽  
2018 ◽  
Vol 96 ◽  
pp. 32-39 ◽  
Author(s):  
Diego Muñoz-Carpintero ◽  
Guoqiang Hu ◽  
Costas J. Spanos
2017 ◽  
Vol 93 (1) ◽  
pp. 126-139 ◽  
Author(s):  
Joel A. Paulson ◽  
Edward A. Buehler ◽  
Richard D. Braatz ◽  
Ali Mesbah

2021 ◽  
pp. 1-19
Author(s):  
ZUOXUN LI ◽  
KAI ZHANG

Abstract A stochastic model predictive control (SMPC) algorithm is developed to solve the problem of three-dimensional spacecraft rendezvous and docking with unbounded disturbance. In particular, we only assume that the mean and variance information of the disturbance is available. In other words, the probability density function of the disturbance distribution is not fully known. Obstacle avoidance is considered during the rendezvous phase. Line-of-sight cone, attitude control bandwidth, and thrust direction constraints are considered during the docking phase. A distributionally robust optimization based algorithm is then proposed by reformulating the SMPC problem into a convex optimization problem. Numerical examples show that the proposed method improves the existing model predictive control based strategy and the robust model predictive control based strategy in the presence of disturbance.


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