Parametrization of Stabilizing Controllers
This study is to obtain all stabilizing controllers of a linear system by a parameter. Once we can know all of the stabilizing controllers of the system, we can consider, based on the this parametrization, optimization, sensitive minimization, model matching, and so on. So far, we have developed the theory to calculate the parametrization of stabilizing controllers without coprime factorization and the theory to calculate the parametrization of stabilizing controllers that have a formulated delay pattern. The approach we use is he factorization approach, systems has the advantage that it embraces, within a single framework, numerous linear systems such as continuous-time as well as discrete-time systems, lumped as well as distributed systems, one-dimensional as well as multidimensional systems, etc.