2017 American Control Conference (ACC) 2017
DOI: 10.23919/acc.2017.7963748
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Autonomous racing using learning Model Predictive Control

Abstract: In this paper we present a Learning Model Predictive Control (LMPC) strategy for linear and nonlinear time optimal control problems. Our work builds on existing LMPC methodologies and it guarantees finite time convergence properties for the closed-loop system. We show how to construct a time varying safe set and terminal cost function using historical data. The resulting LMPC policy is time varying and it guarantees recursive constraint satisfaction and performance improvement. Computational efficiency is obta… Show more

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Cited by 105 publications
(97 citation statements)
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References 31 publications
(97 reference statements)
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“…Learning techniques are commonly used to learn a dynamics model which in turn improves an a priori system model in iterative learning control (ILC; Kapania & Gerdes, ; Ostafew, Schoellig, & Barfoot, ; Panomruttanarug, ; Z. Yang, Zhou, Li, & Wang, ) and model predictive control (MPC; Drews, Williams, Goldfain, Theodorou, & Rehg, 2017; Lefevre, Carvalho, & Borrelli, ; Lefèvre, Carvalho, & Borrelli, ; Ostafew et al, , ; Pan et al, , ; Rosolia, Carvalho, & Borrelli, ).…”
Section: Motion Controllers For Ai‐based Self‐driving Carsmentioning
confidence: 99%
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“…Learning techniques are commonly used to learn a dynamics model which in turn improves an a priori system model in iterative learning control (ILC; Kapania & Gerdes, ; Ostafew, Schoellig, & Barfoot, ; Panomruttanarug, ; Z. Yang, Zhou, Li, & Wang, ) and model predictive control (MPC; Drews, Williams, Goldfain, Theodorou, & Rehg, 2017; Lefevre, Carvalho, & Borrelli, ; Lefèvre, Carvalho, & Borrelli, ; Ostafew et al, , ; Pan et al, , ; Rosolia, Carvalho, & Borrelli, ).…”
Section: Motion Controllers For Ai‐based Self‐driving Carsmentioning
confidence: 99%
“…In previous works, learning controllers have been introduced based on simple function approximators, such as Gaussian process (GP) modeling (Meier, Hennig, & Schaal, 2014;Nguyen-Tuong, Peters, & Seeger, 2008;Ostafew et al, 2015;Ostafew, Schoellig, & Barfoot, 2016) or support vector regression (Sigaud, Salaün, & Padois, 2011 Lefèvre, Carvalho, & Borrelli, 2016;Ostafew et al, 2015Ostafew et al, , 2016Pan et al, 2018Pan et al, , 2017Rosolia, Carvalho, & Borrelli, 2017).…”
Section: Learning Controllersmentioning
confidence: 99%
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“…Liniger et al [6] utilizes the Real Time Iteration Sequential Quadratic Programming (RTI-SQP) paradigm [16] to jointly solve the trajectory planning and control problems. Rosolia [17] applied learning MPC to minimize lap completion time, given data from previous laps. Building on the experiences from the racing application, Gray et al [18] considered motion planning at the handling limits for obstacle avoidance, generating a high-level motion plan from a four-wheel dynamic model and a low-level plan using MPC.…”
Section: Related Workmentioning
confidence: 99%
“…Furthermore, we linearize the kinematic equations of motion to approximate the evolution of the vehicle's position as a function of the velocities. Conversely to our previous works [20], [21], this strategy allow us to reformulate the LMPC as a Quadratic Program (QP) which can be solved efficiently.…”
Section: Introductionmentioning
confidence: 99%