In this paper, a steering assistance system is designed and experimentally tested on a prototype passenger vehicle. Its main goal is to avoid lane departures when the driver has a lapse of attention. Based on a concept linking Lyapunov theory with Linear Matrix Inequalities (LMI) optimization, the following important features are ensured during the assistance intervention: the vehicle remains within the lane borders while converging towards the centerline, and the torque control input and the vehicle dynamics are limited to safe values to ensure the passengers' comfort. Because the steering assistance takes action only if necessary, two activation strategies have been proposed. Both activation strategies were tested on the prototype vehicle and were assessed as appropriate. However, the second strategy showed better reactivity in case of rapid drifting out of the lane.
This paper presents the design and the simulation test of a Takagi-Sugeno (TS) fuzzy lane keeping output feedback controller. The vehicle control law has been developed based on invariant sets and quadratic boundedness theory, based on a common quadratic function. The TS fuzzy model is able to handle elegantly the nonlinear behavior the vehicle lateral dynamics. The computation of the control law has been achieved using Linear and Bilinear Matrix Inequalities (LMI-BMI) methods. Some design parameters can be adjusted to handle the tradeoff between safety constraints and comfort specifications.
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