Stability analysis of digital control system using monotonization method.

Abstract

We consider the stability analysis method for the linear digital control system with structured uncertainties. Our necessary and sufficient stability conditions are obtained by using Jury-Pavlidis’s theorem. Since derived conditions should be ascertained on the whole parameter region, we apply the notion of monotonicity to check the stability conditions at endpoints of parameter region. However, there are some cases where the monotonicity conditions do not hold. In such case, we apply monotonization method. Although the stability conditions become sufficient by applying the monotonization method, it can be checked analytically at endpoints of parameter region.