Integrated design of discrete-time controller for an active suspension system

A novel approach to solve a stabilization problem of an active suspension system using a quarter car model is presented. We apply a combination of our results for the framework of the approximate based direct discrete-time design and the Euler based discrete-time backstepping technique. This stabilization problem is very interesting since utilizing a simple quadratic Lyapunov function brings the system into a LaSalle type stability, which makes the design more complicated. To handle this problem, we use our result on changing supply-rates lemma for LaSalle type stability condition, to construct a composite Lyapunov function that can be used for the design within our framework.