Please aknowledge this paper with problem description and solution attempt:
DOI https://doi.org/10.1115/DSCC2019-8949
@proceedings{10.1115/DSCC2019-8949,
author = {Rocchetta, Roberto and Crespo, Luis G. and Kenny, Sean P.},
title = "{Solution of the Benchmark Control Problem by Scenario Optimization}",
volume = {Volume 2},
series = {Dynamic Systems and Control Conference}, year = {2019}, month = {10},
doi = {10.1115/DSCC2019-8949}, url = {https://doi.org/10.1115/DSCC2019-8949}}######################################################################
###### [1] proposed and analyzed4 designs ###########################
######################################################################
# Candidate controller design
# 𝒮𝒫1(𝒟,0) 𝒮𝒫1(𝒟,.05) 𝒮𝒫2(𝒟) Nominal
# 𝑎4 0.2238 0.5375 0.7600 0.5503
# 𝑎3 0.6811 1.3346 1.9491 1.4175
# 𝑎2 3.1275 2.4206 3.0497 2.6531
# 𝑎1 2.3615 2.1689 2.7344 2.4802
# 𝑎0 1.1833 0.8084 1.0594 1.0000
# 𝑏3 −0.0982 2.4802 −0.0831 -0.1324
# 𝑏2 0.4702 0.6146 0.6358 0.3533
# 𝑏1 0.5886 0.5265 0.7752 0.6005
# 𝑏0 0.0777 0.0716 0.0981 0.0728
See presentation of the challenge (presented at the Julia Reach Workshop 2022) problem for more details:
