Tüm-kutuplu ve enküçük evreli doğrusal zamanda bağımsız ve doğrusal zamanla değişen sistemlerin çıkış regülasyonu

In this thesis, the problem of enabling the output of a system to track the referencesignals and reject the disturbances created by the same exogenous system isconsidered. This problem is widely known as Output Regulation Problem. Firstly,we propose a method for all-pole LTI systems by using relative degree propertyand then we apply the same method for minimum phase LTI systems along withsome modifications. In order to obtain controllers for a minimum phase LTIcase, the system is converted into an all-pole system by employing the inversesystem as the first part of the controller. Then using the method that we usedin all-pole cases, we obtain the second part of the controller. Combining thesetwo controllers gives us an overall controller which solves the output regulationproblem. This method for LTI systems is then extended to all-pole and minimumphase LTV systems. However, in order to apply the same methodology wehave to make some assumptions on LTV systems. For minimum phase cases, thenormal form is obtained by applying certain Lyapunov transformations and thenminimum phaseness is defined in accordance with the normal form. Furthermorewe show that, similar to minimum phase LTI cases, pole / zero cancelations occurbetween the inverse system and the original system in minimum phase LTVcases. The method that we develop depends on analytical calculation of thecontroller and gives a certain degree of freedom to change the transient behaviorof the system by only changing some controller parameters.