Algorithm for estimation of tie-rod loads

1. A method of controlling a steering system, comprising:

determining a gain based on a road wheel angle and a vehicle speed;

estimating a steady-state load by amplifying the road wheel angle based on the gain;

determining, by a control module comprising a processor coupled to a memory, a dynamic load on the steering system by adjusting the steady-state load based on a dynamic model; and

controlling the steering system based on the dynamic load.

2. The method of claim 1 wherein the determining the gain comprises using a steady-state table that is defined by road wheel angles and vehicle speeds.

3. The method of claim 1 wherein the determining the dynamic load is based on a dynamic bicycle model of a vehicle.

4. The method of claim 1 wherein the adjusting the steady state load based on the dynamic model is further based on vehicle speed.

5. The method of claim 1 further comprising applying a compensation value to the adjusted steady-state load.

6. The method of claim 5 further comprising determining the compensation value based on a phase-lead compensator.

7. A control system for a steering system, comprising:

a steady-state module comprising a processor coupled to a memory, the steady state module configured to determine a gain based on a road wheel angle and a vehicle speed and to estimate a steady-state load by amplifying the road wheel angle based on the gain; and

a dynamics module comprising a processor coupled to a memory, the dynamic module configured to adjust the steady-state load based on a dynamic model to determine a dynamic load on the steering system, wherein the steering system is controlled based on the dynamic load.

8. The system of claim 7 wherein the steady-state module is configured to determine the gain by using a steady-state table that is defined by road wheel angles and vehicle speeds.

9. The system of claim 7 wherein the dynamic model is a dynamic bicycle model of a vehicle.

10. The system of claim 9 wherein the dynamic bicycle model is used to adjust the steady-state load based on vehicle speed.

11. The system of claim 7 wherein the dynamic module is configured to apply a compensation value to the adjusted steady-state load.

12. The system of claim 11 wherein the compensation value is determined based on a phase-lead compensator.

13. A vehicle, comprising:

a steering system; and

a control module comprising a processor coupled to a memory, the control module configured to:

determine a gain based on a road wheel angle and a vehicle speed;

estimate a steady-state load by amplifying the road wheel angle based on the gain;

estimate a dynamic load on the steering system by adjusting the steady-state load based on dynamic model; and

control the steering system based on the dynamic load.

14. The vehicle of claim 13 wherein the dynamic model is a dynamic bicycle model of a vehicle.

15. The vehicle of claim 13 wherein the control module is configured to estimate the dynamic load further based on vehicle speed.

16. The vehicle of claim 13 wherein the control module is configured to determine the gain by using a steady-state table that is defined by road wheel angles and vehicle speeds.

17. The vehicle of claim 13 wherein the control module is configured to apply a compensation value to the adjusted steady-state load.

18. The vehicle of claim 17 wherein the compensation value is determined based on a phase-lead compensator.