Parameter space approach based state feedback control of LTV systems

Abstract

The calculation of all stabilizing controller parameters with the parameter space approach is a well-known method. Based on the determined stabilizing parameter space, there exist various analysis and fine-tuning tools for the design of controllers. Unfortunately, only for PID controller (of LTI systems) the parameter space approach is developed and implemented systematically now a days. This work expands the syntheses step of the classical parameter space approach to the LTV system class. It is realized by using a transformation method to bring a LTV system into a LTI system description as well as a frozen time eigenvalue based method. Therefore, this paper presents an overview of the parameter space method to design LTI state feedback controllers. After that, a short survey of LTV stability analyse methods and the transformation based method to extend the parameter space approach to LTV is given.