Abstract: Sliding mode controller for a vehicle active suspension
system is designed in this study. The widely used quarter car model
is preferred and it is aimed to improve the ride comfort of the
passengers. The effect of the actuator time delay, which may arise
due to the information processing, sensors or actuator dynamics, is
also taken into account during the design of the controller. A sliding
mode controller was designed that has taken into account the actuator
time delay by using Smith predictor. The successful performance of
the designed controller is confirmed via numerical results.
Abstract: We consider the problem of stabilization of an unstable
heat equation in a 2-D, 3-D and generally n-D domain by deriving a
generalized backstepping boundary control design methodology. To
stabilize the systems, we design boundary backstepping controllers
inspired by the 1-D unstable heat equation stabilization procedure.
We assume that one side of the boundary is hinged and the other
side is controlled for each direction of the domain. Thus, controllers
act on two boundaries for 2-D domain, three boundaries for 3-D
domain and ”n” boundaries for n-D domain. The main idea of the
design is to derive ”n” controllers for each of the dimensions by
using ”n” kernel functions. Thus, we obtain ”n” controllers for the
”n” dimensional case. We use a transformation to change the system
into an exponentially stable ”n” dimensional heat equation. The
transformation used in this paper is a generalized Volterra/Fredholm
type with ”n” kernel functions for n-D domain instead of the one
kernel function of 1-D design.