Controllability of Polynomial Switched Systems and Their Switching Laws

A fundamental requirement for the design of feedback control systems is the knowledge of structural properties of the plant under consideration. These properties are closely related to the generic properties such as controllability. A sufficient condition for controllability of polynomial switched systems is established here. Control design for nonlinear switched control systems is known to be a nontrivial problem. In this endeavor, an indirect approach is taken to resolve the control design problem pertaining to polynomial switched systems satisfying the aforementioned sufficient condition for controllability; it is shown that trajectories of a related controllable polynomial system can be approximated arbitrarily closely by those of the polynomial switched control system of our interest