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...

In this paper we consider three-tank system as a hybrid system with discrete (on/off) valves and then we use Hybrid System’s Description Language to acquire a Mixed Logical Dynamical model of the system. In order to obtain a relatively accurate model of three-tank system, instead of using straight line approximation method for linearization of valves in whole space, we use Piecewise Affine meth...