Abstarct: The objective of adaptive control is to design a controller that plant output can track desired value even if structural parameters uncertainties is existed. An adaptive controller typically consists of a linear time-invariant (LTI) compensator together with a tuning mechanism which adjusts the compensator parameters and yields a nonlinear controller. Because of the nonlinearity, the transient closed-loop behavior is often poor and the control signal may become unduly large. The purpose of this thesis is to present the new adaptive control method to guaranty the desired tracking of system in the transient phase. In the thesis we use model reference adaptive control (MRAC) method. Using of periodic linear controller (LP), is one of the system transient improvement methods. In this approach, instead of estimating controller parameters (direct method) or plant parameters (indirect method), the ideal control signal (what the control signal would be if the plant states and parameters were known?) is estimated. Another method is that we propose a filtering strategy for the transient and specially noise behavior performance improvement of model reference adaptive control (MRAC) for continuous time single-input single-output (SISO) systems with linear time varying (LTV) plant parameters. This two propose methods and other methods have advantages and disadvantages that are studied in these thesis.