Reference
S. Liu, A. Sadowska,
J. R. D.
Frejo, A. Núñez,
E. F.
Camacho, H. Hellendoorn, and B. De Schutter, "Robust receding horizon
parameterized control for multi-class freeway networks: A tractable
scenario-based approach,"
International Journal of Robust and
Nonlinear Control, vol. 26, no. 6, pp. 1211-1245, Apr. 2016.
Abstract
In this paper, we propose a tractable scenario-based Receding Horizon
Parameterized Control (RHPC) approach for freeway networks. In this approach, a
scenario-based min-max scheme is used to handle uncertainties. This scheme
optimizes the worst case among a limited number of scenarios that are
considered. The use of parameterized control laws allows us to reduce the
computational burden of the robust control problem based on the multi-class
METANET model w.r.t. conventional model predictive control. To assess the
performance of the proposed approach, a simulation experiment is implemented,
in which scenario-based RHPC is compared with nominal RHPC, standard control
ignoring uncertainties, and standard control including uncertainties. Here, the
standard control approaches refer to state feedback controllers (such as
PI-ALINEA for ramp metering). A queue override scheme is included for extra
comparison. The results show that nominal RHPC approaches and standard control
ignoring uncertainties may lead to high queue length constraint violations, and
including a queue override scheme in standard control may not reduce queue
length constraint violations to a low level. Including uncertainties in
standard control approaches can obviously reduce queue length constraint
violations, but the performance improvements are minor. For the given case
study, scenario-based RHPC performs best as it is capable of improving control
performance without high queue length constraint violations.
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BibTeX
@article{LiuSad:15-045,
author = {Liu, Shuai and Sadowska, Anna and Frejo, Jos{\'{e}} Ram{\'{o}}n
D. and N{\'{u}}{\~{n}}ez, Alfredo and Camacho, Eduardo F. and
Hellendoorn, Hans and De Schutter, Bart},
title = {Robust Receding Horizon Parameterized Control for Multi-Class
Freeway Networks: {A} Tractable Scenario-Based Approach},
journal = {International Journal of Robust and Nonlinear Control},
volume = {26},
number = {6},
pages = {1211--1245},
month = apr,
year = {2016}
}