Conference Proceeding

Optimal VSC design based on Nash strategy for differential 2-player games

Dept. of Mech. Eng., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA
11/2009; DOI:10.1109/ICSMC.2009.5346394 pp.2415 - 2420 In proceeding of: Systems, Man and Cybernetics, 2009. SMC 2009. IEEE International Conference on
Source: IEEE Xplore

ABSTRACT For optimal vehicle yaw stability control system development, inclusion of driver dynamics seems necessary. In this paper, a novel design approach is proposed for developing optimal solutions to vehicle stability control problems in the presence of the driver-in-the-loop steering models. The design concept is inspired by a Nash strategy for exactly known systems with more than two players. In the presented method, driver, controlling the steering wheel, and vehicle stability control unit, applying braking torques on the wheels, are defined as two dynamic players in a 2-player differential LQ game, and as a result, a novel control algorithm is developed. The results from a numerical simulation of a single lane change maneuver show the effectiveness of this controller over the common LQR control approach.

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Keywords

2-player differential LQ game
 
applying braking torques
 
common LQR control approach
 
design concept
 
driver dynamics
 
driver-in-the-loop steering models
 
necessary
 
novel control algorithm
 
novel design approach
 
numerical simulation
 
optimal vehicle yaw stability control system development
 
single lane change maneuver
 
systems
 
two players
 
vehicle stability control problems
 
vehicle stability control unit