A Reproducible Evaluation Method for Intelligent-Driving Longitudinal Control Under Complex Weather Through Operational Design Domain Parameter Perturbation
Abstract
1. Introduction
1.1. Related Research on Adverse Weather Testing and Operational Design Domains
1.2. Problem Statement and Research Gap
1.3. Study Scope, Preliminaries, Assumptions, and Automation-Level Positioning
1.4. Contributions and Paper Organization
- (1)
- Meteorological factors including snow, fog, and rain are parameterized into graded levels using standard quantitative thresholds and are coupled with road slipperiness represented by friction-coefficient grading. On this basis, a reproducible weather–road coupled state set is established for adverse weather ODD perturbation testing [2,18].
- (2)
- A mechanism-oriented evaluation indicator system for longitudinal speed control capability is developed. Subjective and objective weighting are combined at the weighting stage, and fuzzy comprehensive evaluation is adopted at the aggregation stage to represent uncertainty in grade boundaries and to generate comprehensive scores for cross-state benchmarking [27,28].
- (3)
- The proposed method is validated on a co-simulation framework integrating vehicle–sensor simulation, a driving simulator, and a cloud-controlled digital-twin environment. Representative AEB risk scenarios are used to combine key safety indicators with comprehensive evaluation outputs, thereby providing structured evidence for capability benchmarking and boundary identification under coupled complex weather states [14,18,29,31].
2. Method
2.1. Parameterization of Complex Weather and Coupled State-Set Construction
2.1.1. Graded Parameterization of Meteorological Factors
2.1.2. Grading of Road Slipperiness and Friction-Coefficient Ranges
2.1.3. Weather–Road Coupled State Set and Coding Scheme
2.2. Risk Grading and Test-Priority Planning
2.3. Comprehensive Evaluation Framework for Longitudinal Control Performance
2.3.1. Indicator System
2.3.2. Determination of Combined Weights
2.3.3. Fuzzy Comprehensive Evaluation Modeling and Outputs
3. Experimental Platform and Test Design
3.1. Co-Simulation Test Framework and Overall Workflow
3.2. Vehicle Dynamics Modeling Based on SCANeR Studio
3.3. Time-to-Collision Threshold-Based Emergency Braking Control Model
3.4. Driving Simulator Integration and Weather Perturbation Test Design
3.4.1. Driving Simulator Hardware Setup and Control Integration
3.4.2. Cloud-Controlled Digital-Twin Simulation Platform and Co-Testing Capabilities
3.5. Weather Attribute Perturbation Test Design and Operating Condition Settings
4. Results
4.1. Post-Braking Gap Test Results
4.2. Time-to-Collision Response Time
4.3. Combined Weight Fuzzy Comprehensive Evaluation Results
4.3.1. Multi-Level Aggregation Results
4.3.2. Comparison of Comprehensive Scores Across Different Weather States
4.4. Discussion
4.4.1. Systematic Shrinkage of Safety Margin Induced by Coupled Complex Weather and Low Adhesion
4.4.2. TTC Response Time Reveals Trigger-to-Execution Latency and Consistently Indicates Elevated Risk Together with Safety Margin Shrinkage
4.4.3. Comprehensive Evaluation Provides a Structured Capability Profile to Support Test Prioritization and Boundary Localization
5. Conclusions
- (1)
- The coupling of complex weather and road slipperiness significantly compresses the longitudinal braking safety margin of AEB. As weather severity, slipperiness, and initial speed increase, the post-stop gap continuously decreases. Under severe road slipperiness combined with heavy rain or heavy snow, the post-stop gap drops to 0.25 m and 0.21 m, respectively. High-speed cases exhibit a longer deceleration phase and a smaller final margin, representing the most unfavorable coupled operating conditions.
- (2)
- The TTC response time increases overall with higher speed, lower adhesion, and deteriorating weather. Under mildly slippery roads at 50 km/h, increasing rainfall intensity from light to heavy increases the TTC response time from 1.42 s to 1.89 s; under severely slippery roads at 50 km/h, increasing snowfall intensity from light to heavy increases the TTC response time from 1.58 s to 2.10 s. Degraded responsiveness reduces the available braking distance, which is consistent—regarding risk implication—with the observed shrinkage of the stopping safety margin.
- (3)
- The comprehensive evaluation differentiates speed control capability under different weather perturbations and provides a structured capability profile. Under moderately slippery conditions, rain yields the most pronounced degradation, with the advanced traffic dimension being particularly sensitive; fog shows a prominent decline in the advanced driving dimension; and snow exhibits a balanced, synchronous attenuation. Together with key safety indicators, these results form complementary evidence of “hard risk boundary + capability profile localization”, supporting ODD state ranking, test-priority planning, and boundary identification.
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
- SAE J3016-2021; Taxonomy and Definitions for Terms Related to Driving Automation Systems for On-Road Motor Vehicles. SAE International: Warrendale, PA, USA, 2021. Available online: https://www.sae.org/standards/j3016_202104-taxonomy-definitions-terms-related-driving-automation-systems-road-motor-vehicles (accessed on 16 April 2022).
- ISO 34503:2023; Road Vehicles—Test Scenarios for Automated Driving Systems—Specification for Operational Design Domain. ISO: Geneva, Switzerland, 2023. Available online: https://www.iso.org/standard/78952.html (accessed on 5 February 2024).
- ISO 16787:2017; Intelligent Transport Systems—Assisted Parking System (APS)—Performance Requirements and Test Procedures. ISO: Geneva, Switzerland, 2017. Available online: https://www.iso.org/standard/73768.html (accessed on 18 February 2026).
- ASAM e.V. ASAM OpenSCENARIO: User Guide (V1.2.0). 2022. Available online: https://www.asam.net/standards/detail/openscenario/ (accessed on 21 January 2023).
- PEGASUS Projekt Consortium. PEGASUS-Gesamtmethode (Method for the Assessment of Highly Automated Driving Functions). Available online: https://en.sip-adus.go.jp/evt/workshop2018/file/PEGASUS_SIP-adus_Thomas_Form.pdf (accessed on 13 January 2020).
- Dosovitskiy, A.; Ros, G.; Codevilla, F.; Lopez, A.; Koltun, V. CARLA: An Open Urban Driving Simulator. In Proceedings of the 1st Annual Conference on Robot Learning, Mountain View, CA, USA, 13–15 November 2017; Proceedings of Machine Learning Research: Cambridge, MA, USA, 2017; Volume 78, pp. 1–16. Available online: https://proceedings.mlr.press/v78/dosovitskiy17a.html (accessed on 27 January 2026).
- Wang, J.; Wu, Z.; Liang, Y.; Tang, J.; Chen, H. Perception Methods for Adverse Weather Based on Vehicle Infrastructure Cooperation System: A Review. Sensors 2024, 24, 374. [Google Scholar] [CrossRef]
- Zhang, B.; Simsek, M.; Kulhandjian, M.; Kantarci, B. Enhancing the Safety of Autonomous Vehicles in Adverse Weather by Deep Learning-Based Object Detection. Electronics 2024, 13, 1765. [Google Scholar] [CrossRef]
- Xu, C.; Sankar, R. A Comprehensive Review of Autonomous Driving Algorithms: Tackling Adverse Weather Conditions, Unpredictable Traffic Violations, Blind Spot Monitoring, and Emergency Maneuvers. Algorithms 2024, 17, 526. [Google Scholar] [CrossRef]
- Zhang, Y.; Carballo, A.; Yang, H.; Takeda, K. Perception and sensing for autonomous vehicles under adverse weather conditions: A survey. ISPRS J. Photogramm. Remote Sens. 2023, 196, 146–177. [Google Scholar] [CrossRef]
- Yan, C.; Xu, W.; Liu, J. Can You Trust Autonomous Vehicles: Contactless Attacks against Sensors of Self-Driving Vehicle. In Proceedings of the DEF CON 24, Las Vegas, NV, USA, 4–7 August 2016. [Google Scholar]
- Askari, H.; Khajepour, A.; Khamesee, M.B.; Wang, Z.L. Embedded Self-Powered Sensing Systems for Smart Vehicles and Intelligent Transportation. Nano Energy 2019, 66, 104103. [Google Scholar] [CrossRef]
- Kim, H.; Ko, J.; Oh, C.; Kim, S. Evaluation of Autonomous Driving Safety by Operational Design Domains (ODD) in Mixed Traffic. Sustainability 2024, 16, 9672. [Google Scholar] [CrossRef]
- Euro NCAP. TEST PROTOCOL—AEB Car-to-Car Systems (Implementation 2023, Version 4.2, June 2023). 2023. Available online: https://cdn.euroncap.com/cars/assets/euro_ncap_aeb_c2c_test_protocol_v42_af2bd7186c.pdf (accessed on 22 August 2023).
- Lai, F.; Liu, J.; Hu, Y. An Automatic Emergency Braking Control Method for Improving Ride Comfort. World Electr. Veh. J. 2024, 15, 259. [Google Scholar] [CrossRef]
- Jamson, A.H.; Lai, F.C.H.; Carsten, O.M.J. Potential benefits of an adaptive forward collision warning system. Transp. Res. Part C Emerg. Technol. 2008, 16, 471–484. [Google Scholar] [CrossRef]
- Vogel, K. A Comparison of Headway and Time to Collision as Safety Indicators. Accid. Anal. Prev. 2003, 35, 427–433. [Google Scholar] [CrossRef]
- UNECE. UN Regulation No. 152; Uniform Provisions Concerning the Approval of Motor Vehicles with Regard to the Advanced Emergency Braking System (AEBS) for M1 and N1 Vehicles. 2024. Available online: https://unece.org/sites/default/files/2024-04/R152r2E.pdf (accessed on 27 January 2026).
- Tak, S.; Kim, S.; Yeo, H. A Study on the Traffic Predictive Cruise Control Strategy With Downstream Traffic Information. IEEE Trans. Intell. Transp. Syst. 2016, 17, 1932–1943. [Google Scholar] [CrossRef]
- Moser, D.; Schmied, R.; Waschl, H.S.; del Re, L. Flexible Spacing Adaptive Cruise Control Using Stochastic Model Predictive Control. IEEE Trans. Control. Syst. Technol. 2018, 26, 114–127. [Google Scholar] [CrossRef]
- Viadero-Monasterio, F.; Meléndez-Useros, M.; Jiménez-Salas, M.; Boada, B.L. Robust Adaptive Control of Heterogeneous Vehicle Platoons in the Presence of Network Disconnections With a Novel String Stability Guarantee. IEEE Trans. Intell. Veh. 2026, 11, 63–75. [Google Scholar] [CrossRef]
- Viadero-Monasterio, F.; Gutiérrez-Moizant, R.; Meléndez-Useros, M.; Boada, M.J.L. Static Output Feedback Control for Vehicle Platoons with Robustness to Mass Uncertainty. Electronics 2025, 14, 139. [Google Scholar] [CrossRef]
- Karpenko, M.; Prentkovskis, O.; Skačkauskas, P. Numerical Simulation of Vehicle Tyre under Various Load Conditions and Its Effect on Road Traffic Safety. Promet-Traffic Transp. 2024, 36, 1–11. [Google Scholar] [CrossRef]
- Loganathan, M.K.; Goswami, P.; Bhagawati, B. Failure Evaluation and Analysis of Mechatronics-Based Production Systems during Design Stage Using Structural Modeling. Appl. Mech. Mater. 2016, 852, 799–805. [Google Scholar] [CrossRef]
- Habchi, G.; Barthod, C. An Overall Methodology for Reliability Prediction of Mechatronic Systems Design with Industrial Application. Reliab. Eng. Syst. Saf. 2016, 155, 236–254. [Google Scholar] [CrossRef]
- Aguirre Mehlhorn, M.; Richter, A.; Shardt, Y.A.W. Ruling the Operational Boundaries: A Survey on Operational Design Domains of Autonomous Driving Systems. IFAC-PapersOnLine 2023, 56, 2202–2213. [Google Scholar] [CrossRef]
- Xu, X.; Yu, F.; Pedrycz, W.; Du, X. Multi-source Fuzzy Comprehensive Evaluation. Appl. Soft Comput. 2023, 135, 110042. [Google Scholar] [CrossRef]
- Zhong, C.; Yang, Q.; Liang, J.; Ma, H. Fuzzy comprehensive evaluation with AHP and entropy methods and health risk assessment of groundwater in Yinchuan Basin, northwest China. Environ. Res. 2022, 204, 111956. [Google Scholar] [CrossRef]
- Feng, S.; Feng, Y.; Yan, X.; Shen, S.; Xu, S.; Liu, H.X. Safety assessment of highly automated driving systems in test tracks: A new framework. Accid. Anal. Prev. 2020, 144, 105664. [Google Scholar] [CrossRef]
- Li, Y.; Tao, J.; Wotawa, F. Ontology-based test generation for automated and autonomous driving functions. Inf. Softw. Technol. 2020, 117, 106200. [Google Scholar] [CrossRef]
- Feng, S.; Feng, Y.; Yu, C.; Zhang, Y.; Liu, H.X. Testing Scenario Library Generation for Connected and Automated Vehicles, Part I: Methodology. IEEE Trans. Intell. Transp. Syst. 2021, 22, 1573–1582. [Google Scholar] [CrossRef]
- Inagaki, T.; Sheridan, T.B. A critique of the SAE conditional driving automation definition, and analyses of options for improvement. Cogn. Technol. Work. 2019, 21, 569–578. [Google Scholar] [CrossRef]
- ISO 8348; Road Vehicles—Measurement and Representation of Tyre-to-Road Adhesion. ISO: Geneva, Switzerland, 2002.
- QXT 729-2024; Weather Risk Warning Levels for Expressway Traffic Safety Management and Control. Meteorological Industry Standard of the People’s Republic of China: Beijing, China, 2024.












| Category | Severity Level | Criterion | Notes |
|---|---|---|---|
| Snow | Light snow | 0.1 < S1 < 0.5 or 0.1 < S12 < 2.4 | S1: 1 h snowfall; S12: 12 h snowfall; unit: mm |
| Snow | Moderate snow | 0.6 < S1 < 1.4 or 2.5 < S12 < 4.9 | S1: 1 h snowfall; S12: 12 h snowfall; unit: mm |
| Snow | Heavy snow | 1.5 < S1 < 3.0 or 5.0 < S12 < 9.9 | S1: 1 h snowfall; S12: 12 h snowfall; unit: mm |
| Fog | Light fog | 500 < Vvis < 1000 | Vvis: visibility; unit: m |
| Fog | Dense fog | 200 < Vvis < 500 | Vvis: visibility; unit: m |
| Fog | Thick fog | 50 < Vvis < 200 | Vvis: visibility; unit: m |
| Rain | Light rain | 0.1 < R1 < 2.5 or 0.1 < R12 < 5 | R1: 1 h rainfall; R12: 12 h rainfall; unit: mm |
| Rain | Moderate rain | 2.6 < R1 < 7.9 or 6.0 < R12 < 15 | R1: 1 h rainfall; R12: 12 h rainfall; unit: mm |
| Rain | Heavy rain | 8.0 < R1 < 15.0 or 15.0 < R12 < 30 | R1: 1 h rainfall; R12: 12 h rainfall; unit: mm |
| Road Condition | Friction-Coefficient Range |
|---|---|
| Mildly slippery road surface | 0.41–0.50 |
| Moderately slippery road surface | 0.21–0.40 |
| Severely slippery road surface | 0.10–0.20 |
| Index | Definition |
|---|---|
| p = 1 | Heavy snow |
| p = 2 | Moderate snow |
| p = 3 | Light snow |
| p = 4 | Thick fog |
| p = 5 | Dense fog |
| p = 6 | Light fog |
| p = 7 | Heavy rain |
| p = 8 | Moderate rain |
| p = 9 | Light rain |
| q = 1 | Mildly slippery road surface |
| q = 2 | Moderately slippery road surface |
| q = 3 | Severely slippery road surface |
| Complex Weather Environmental State | Risk Severity |
|---|---|
| K61, K91 | Safe |
| K11, K21, K31, K41, K51, K71, K81, K12, K22, K32, K42, K52, K62, K72, K82, K92, K23, K33, K43, K53, K63, K83, K93 | Moderate |
| K13, K73 | Hazardous |
| Target Layer (A) | Function Layer (B) | Factor Layer (C) | Indicator Layer (D) |
|---|---|---|---|
| Intelligent driving speed control under weather conditions | Basic intelligent behaviors | Vehicle control behavior | Smooth start-up; decelerated stop |
| Intelligent driving speed control under weather conditions | Basic intelligent behaviors | Basic driving behavior | Lane keeping; go straight through an intersection; U-turn on the road; low-speed car-following |
| Intelligent driving speed control under weather conditions | Basic intelligent behaviors | Basic traffic behavior | Decelerate when encountering obstacles; car-following while turning |
| Intelligent driving speed control under weather conditions | Advanced intelligent behaviors | Advanced driving behavior | Emergency braking; automated parking |
| Intelligent driving speed control under weather conditions | Advanced intelligent behaviors | Advanced traffic behavior | Continuous lane changing; evasion of an accident-involved vehicle; intelligent navigation |
| Complex Weather | Category | Road Condition | Test Speed (km/h) | Complex Weather Environmental States |
|---|---|---|---|---|
| Snow | Light snow | Mildly slippery road surface | 25, 50 | K31, K32, K33 |
| Moderate snow | Moderately slippery road surface | 25, 50 | K21, K22, K23 | |
| Heavy snow | Severely slippery road surface | 25, 50 | K11, K12, K13 | |
| Fog | Light fog | Mildly slippery road surface | 25, 50 | K61, K62, K63 |
| Dense fog | Moderately slippery road surface | 25, 50 | K51, K52, K53 | |
| Thick fog | Severely slippery road surface | 25, 50 | K41, K42, K43 | |
| Rain | Light rain | Mildly slippery road surface | 25, 50 | K91, K92, K93 |
| Moderate rain | Moderately slippery road surface | 25, 50 | K81, K82, K83 | |
| Heavy rain | Severely slippery road surface | 25, 50 | K71, K72, K73 |
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content. |
© 2026 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Share and Cite
Xu, Y.; Li, Z.; Sun, C.; Xu, S.; Sun, H.; Cao, Y.; Yang, J. A Reproducible Evaluation Method for Intelligent-Driving Longitudinal Control Under Complex Weather Through Operational Design Domain Parameter Perturbation. Machines 2026, 14, 454. https://doi.org/10.3390/machines14040454
Xu Y, Li Z, Sun C, Xu S, Sun H, Cao Y, Yang J. A Reproducible Evaluation Method for Intelligent-Driving Longitudinal Control Under Complex Weather Through Operational Design Domain Parameter Perturbation. Machines. 2026; 14(4):454. https://doi.org/10.3390/machines14040454
Chicago/Turabian StyleXu, Yang, Zhixiong Li, Chuan Sun, Shucai Xu, Haiming Sun, Yicheng Cao, and Junru Yang. 2026. "A Reproducible Evaluation Method for Intelligent-Driving Longitudinal Control Under Complex Weather Through Operational Design Domain Parameter Perturbation" Machines 14, no. 4: 454. https://doi.org/10.3390/machines14040454
APA StyleXu, Y., Li, Z., Sun, C., Xu, S., Sun, H., Cao, Y., & Yang, J. (2026). A Reproducible Evaluation Method for Intelligent-Driving Longitudinal Control Under Complex Weather Through Operational Design Domain Parameter Perturbation. Machines, 14(4), 454. https://doi.org/10.3390/machines14040454

