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- Title
Robust receding horizon parameterized control for multi-class freeway networks: A tractable scenario-based approach.
- Authors
Liu, Shuai; Sadowska, Anna; Frejo, José Ramón D.; Núñez, Alfredo; Camacho, Eduardo F.; Hellendoorn, Hans; De Schutter, Bart
- 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. Copyright © 2016 John Wiley & Sons, Ltd.
- Subjects
ROBUST control; AUTOMATIC control systems; RAMP metering (Traffic engineering); TRAFFIC engineering; TRANSPORTATION engineering
- Publication
International Journal of Robust & Nonlinear Control, 2016, Vol 26, Issue 6, p1211
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.3500