Systems and methods for dynamic predictive control of autonomous vehicles

1. An in-vehicle control system for a semi-truck, comprising:

a processor; and

a computer-readable memory in communication with the processor and having stored thereon computer-executable instructions to cause the processor to at least:

receive a desired trajectory for autonomously driving the semi-truck and a vehicle status of the semi-truck,

update a dynamic non-linear model of the semi-truck based on the desired trajectory and the vehicle status,

determine a linear system model based on an approximation of the dynamic non-linear model including transforming a reference frame for the dynamic non-linear model from a global inertial coordinate frame to a reference frame coordinate centered on a current position of the semi-truck on a road,

model movement of the semi-truck over a prediction time horizon using the linear system model,

generate at least one control command for controlling the movement of the semi-truck based on the modelled movement, and

output the at least one control command for the autonomous driving of the semi-truck along the desired trajectory.

2. The system of claim 1 , wherein the dynamic non-linear model is configured to predict the movement of the semi-truck in response to a potential control command during autonomous driving of the semi-truck.

3. The system of claim 1 , wherein the modelling of the movement of the semi-truck comprises:

predicting the movement of the semi-truck using one or more of the linear system model, an average reference trajectory velocity of the semi-truck, and a curvature at a waypoint of the desired trajectory.

4. The system of claim 1 , wherein the approximation of the dynamic non- linear model uses small angle error assumptions.

5. The system of claim 1 , wherein the linear system model comprises a lateral dynamics model and a longitudinal kinematic model.

6. The system of claim 5 , wherein the memory further has stored thereon computer-executable instructions to cause the processor to:

determine the lateral dynamics model based at least in part on the desired trajectory, the vehicle status, and one or more internal dynamic parameters of the semi-truck; and

determine the longitudinal kinematic model based on the desired trajectory and the vehicle status.

7. The system of claim 6 , wherein the one or more internal dynamic parameters include one or more of the following: a mass of the semi-truck, a moment of inertia of the semi-truck, a trailer angle, a cornering stiffness, and an articulation between a tractor and a trailer of the semi-truck.

8. The system of claim 1 , wherein the memory further has stored thereon computer-executable instructions to cause the processor to:

determine a road referenced error model based at least in part on a comparison between the transformed dynamic non-linear model and the desired trajectory.

9. The system of claim 8 , wherein the road referenced error model comprises a heading error and a relative lateral position error.

10. A non-transitory computer readable storage medium having stored thereon instructions that, when executed, cause at least one computing device to at least:

receive a desired trajectory for autonomously driving a semi-truck and a vehicle status of the semi-truck;

update a dynamic non-linear model of the semi-truck based on the desired trajectory and the vehicle status;

determine a linear system model based on an approximation of the dynamic non- linear model, wherein the linear system model comprises a lateral dynamics model and a longitudinal kinematic model;

model movement of the semi-truck over a prediction time horizon using the linear system model;

determine a first quadratic program problem based on the lateral dynamics model;

determine a second quadratic program problem based on the longitudinal kinematic model;

generate at least one control command for controlling the movement of the semi-truck based on the modelled movement including generating a first command for controlling a direction of the semi-truck by solving the first quadratic program problem using an adaptive controller and generating a second command for controlling a velocity of the semi-truck by solving the second quadratic program problem using a proportional integral derivative controller; and

output the at least one control command for the autonomous driving of the semi-truck along the desired trajectory.

11. The non-transitory computer readable storage medium of claim 10 , wherein:

the modelling of the movement of the semi-truck comprises determining at least one quadratic program problem based on the linear system model, and

the generating of the at least one control command comprises solving the at least one quadratic program problem.

12. A method for controlling movement of a semi-truck, comprising:

receiving a desired trajectory for autonomously driving a semi-truck and a vehicle status of the semi-truck;

updating a dynamic non-linear model of the semi-truck based on the desired trajectory and the vehicle status;

transforming a reference frame for the dynamic non-linear model;

determining a linear system model based on the transformed reference frame and an approximation of the dynamic non-linear model, wherein the approximation of the dynamic non-linear model uses small angle error assumptions that simplify predefined mathematical expressions for angles that are less than a threshold angle;

modelling movement of the semi-truck over a prediction time horizon using the linear system model;

generating at least one control command for controlling the movement of the semi-truck based on the modelled movement; and

outputting the at least one control command for the autonomous driving of the semi-truck along the desired trajectory.

13. The method of claim 12 , wherein the desired trajectory defines at least one of a position, heading, speed, and time in a local coordinate frame of the semi-truck.

14. The method of claim 12 , wherein the desired trajectory is discretized at a time interval to define a plurality of waypoints and a speed profile for the semi-truck.

15. The method of claim 12 , wherein the vehicle status comprises one or more of the following: a position, a velocity, a yaw angle, and a yaw angle rate of the semi-truck.

16. The method of claim 12 , wherein the semi-truck comprises a GPS-inertial measurement unit (GPS-IMU) configured to generate the vehicle status.

17. The method of claim 12 , wherein transforming the reference frame is from a global inertial coordinate frame to a reference frame coordinate centered on a current position of the semi-truck on a road.