Robustna polinomska sinteza regulatorja za sisteme z zakasnitvami : doktorska disertacija

slovenian

doktorska dela

2013

Univerza v Mariboru, Fakulteta za elektrotehniko računalništvo in informatiko

This dissertation presents controller synthesis for time delay systems based on the solutions of sets of polynomial equations, which represent the essence of characteristic quasi-polynomial. In this work internal delays as well as input/output transport delays are addressed. We propose integrated solution ofpole placement technique using a closed loop state observer, which allows arbitrary choice of quasi-polynomial. Similar approach was considered in the case of dealing with the compensation of transport delays by introducing a specific structure of cascade observers. We fully discuss the use and the influence of free polynomials, which occur in the system as a result of the appropriate structure of the controller. Free polynomials might be used for the optimization of the quasi-polynomial or for the optimization of the systemrobustness according to Hinf metrics. The robustness optimization problem was focused on different aspects of perturbations acting directly either on the system parameters or to the time delays present. The optimization process was performed using differential evolution. The work alsodeals with the proposed method for the simplified selection of suitable characteristic quasi-polynomial and the proposed effective algorithm for the computation of only few rightmost eigenvalues for time delay systems, which is indispensable in case of dealing with such systems.

07.08.2023