Limit Cycle Generation for Multi-Modal and 2-Dimensional Piecewise Affine Control Systems
T. Kai. International Journal of Advanced Computer Science and Applications(IJACSA)(2013)
This paper considers a limit cycle control problem
of a multi-modal and 2-dimensional piecewise affine control
system. Limit cycle control means a controller design method to
generate a limit cycle for given piecewise affine control systems.
First, we deal with a limit cycle synthesis problem and derive a
new solution of the problem. In addition, theoretical analysis on
the rotational direction and the period of a limit cycle is shown.
Next, the limit cycle control problem for piecewise affine control
system is formulated. Then, we obtain matching conditions such
that the piecewise affine control system with the state feedback
law corresponds to the reference system which generates a desired
limit cycle. Finally, in order to indicate the effectiveness of the
new method, a numerical simulation is illustrated.