A methodology for the design of robust rollover prevention controllers for automotive vehicles: Part 2-Active steering

In this paper we apply recent results from robust control to the problem of rollover prevention in automotive vehicles. Specifically, we exploit the results of Pancake, Corless and Brockman, which provide controllers to robustly guarantee that the peak magnitudes of the performance outputs of an uncertain system do not exceed certain values. We use the dynamic Load Transfer Ratio LTRd as a performance output for rollover prevention, and design active-steering based rollover controllers to keep the magnitude of this quantity below a certain level, while we use control input u as an additional performance output to limit the maximum amount of control effort. We present numerical simulations to demonstrate the efficacy of our controllers.