期刊
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY
卷 28, 期 6, 页码 2736-2743出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCST.2019.2949757
关键词
Predictive control; Data models; Computational modeling; Kernel; Gaussian processes; Uncertainty; Predictive models; Autonomous racing; Gaussian processes (GPs); learning-based control; model learning; model predictive control (MPC)
资金
- Swiss National Science Foundation [PP00P2_157601/1]
- Swiss National Science Foundation (SNF) [PP00P2_157601] Funding Source: Swiss National Science Foundation (SNF)
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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