Reference:
D. Corona,
J. Buisson,
B. De Schutter, and
A. Giua,
"Stabilization of switched affine systems: An application to the
buck-boost converter," Proceedings of the 2007 American Control
Conference, New York, New York, pp. 6037-6042, July 2007.
Abstract:
In this paper we extend a technique developed to design a feedback
stabilizing control law for autonomous switched systems all modes of
which are unstable. More specifically, we extend the switching
table procedure to the class of affine switched systems, the
dynamics of which either do not have an equilibrium point or, if they
do, it is not common. This method is then applied to the DC-DC
buck-boost converter. The design of the control law is based
on dynamic programming and it results in a partition of the state
space into switching look-up tables. A comparison with a Lyapunov
based technique is also discussed.