The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
Cautious Model Predictive Control Using Gaussian Process Regression
Open accessAbstract
Gaussian process (GP) regression has been widely used in supervised machine learning due to its flexibility and inherent ability to describe uncertainty in function estimation. In the context of control, it is seeing increasing use for modeling of nonlinear dynamical systems from data, as it allows the direct assessment of residual model uncertainty. We present a model predictive control (MPC) approach that integrates a nominal system with an additive nonlinear part of the dynamics modeled as a GP. We describe a principled way of formulating the chance-constrained MPC problem, which takes into account residual uncertainties provided by the GP model to enable cautious control. Using additional approximations for efficient computation, we finally demonstrate the approach in a simulation example, as well as in a hardware implementation for autonomous racing of remote-controlled race cars with fast sampling times of 20 ms, highlighting improvements with regard to both performance and safety over a nominal controller.
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Cites
A Unifying View of Sparse Approximate Gaussian Process Regression
Quiñonero-Candela, J., & Rasmussen, C. E. (2005) · doi:10.5555/1046920.1194909 · Cited by 1,671
Stochastic Model Predictive Control: An Overview and Perspectives for Future Research
(2016) · IEEE Control Systems · doi:10.1109/mcs.2016.2602087 · Cited by 923
Efficient Numerical Methods for Nonlinear MPC and Moving Horizon Estimation
Diehl, M., Ferreau, H. J., & Haverbeke, N. (2009) · Lecture Notes in Control and Information Sciences · doi:10.1007/978-3-642-01094-1_32 · Cited by 539
Optimization‐based autonomous racing of 1:43 scale RC cars
Liniger, A., Domahidi, A., & Morari, M. (2015) · Optimal Control Applications and Methods · doi:10.1002/oca.2123 · Cited by 537
Tresp, V. (2000) · Neural Computation · doi:10.1162/089976600300014908 · Cited by 402
Sparse Spectrum Gaussian Process Regression
Lázaro-Gredilla, M., Quiñonero-Candela, J., Rasmussen, C. E., & Figueiras-Vidal, A. R. (2010) · doi:10.5555/1756006.1859914 · Cited by 352
Learning-Based Model Predictive Control for Safe Exploration
Koller, T., Berkenkamp, F., Turchetta, M., & Krause, A. (2018) · 2018 IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.2018.8619572 · Cited by 318
Gaussian process model based predictive control
Kocijan, J., Murray-Smith, R., Rasmussen, C. E., & Girard, A. (2004) · Proceedings of the 2004 American Control Conference · doi:10.23919/acc.2004.1383790 · Cited by 267
Robust Constrained Learning-based NMPC enabling reliable mobile robot path tracking
Ostafew, C. J., Schoellig, A. P., & Barfoot, T. D. (2016) · The International Journal of Robotics Research · doi:10.1177/0278364916645661 · Cited by 232
A tractable approximation of chance constrained stochastic MPC based on affine disturbance feedback
Oldewurtel, F., Jones, C. N., & Morari, M. (2008) · 2008 47th IEEE Conference on Decision and Control · doi:10.1109/cdc.2008.4738806 · Cited by 175
Cited by
Learning-Based Model Predictive Control: Toward Safe Learning in Control
Hewing, L., Wabersich, K. P., Menner, M., & Zeilinger, M. N. (2020) · Annual Review of Control, Robotics, and Autonomous Systems · doi:10.1146/annurev-control-090419-075625 · Cited by 835
Self-citationData-Driven Model Predictive Control With Stability and Robustness Guarantees
Berberich, J., Kohler, J., Muller, M. A., & Allgower, F. (2021) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2020.3000182 · Cited by 803
Safe Learning in Robotics: From Learning-Based Control to Safe Reinforcement Learning
Brunke, L., Greeff, M., Hall, A. W., Yuan, Z., Zhou, S., Panerati, J., & Schoellig, A. P. (2022) · Annual Review of Control, Robotics, and Autonomous Systems · doi:10.1146/annurev-control-042920-020211 · Cited by 769
Incremental Model Predictive Control Exploiting Time-Delay Estimation for a Robot Manipulator
Wang, Y., Leibold, M., Lee, J., Ye, W., Xie, J., & Buss, M. (2022) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2022.3142629 · Cited by 52
Kohler, J., Soloperto, R., Muller, M. A., & Allgower, F. (2021) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2020.2982585 · Cited by 19
Metadata
- Authors
- Hewing, L., Kabzan, J., & Zeilinger, M. N.
- Venue
- IEEE Transactions on Control Systems Technology
- Published
- 2020-11
- Volume
- 28
- Issue
- 6
- Pages
- 2736-2743
- ISSN
- 1063-6536 (ISSN-L)
- 1558-0865
- 2374-0159
- OpenAlex
- W2619551236
- Cited by
- 577
- References
- 16
- FWCI
- 21.37
- Type
- journal article
- Language
- en
- Open access
- green
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