CruiseControlSystem it’s a system can be demonstrate for be made control for a Cruise to that Controlled System can employee for made a stabilization in given proposed system for avert instable alike via losing for receive a response or other, the proposed system is present a lot of overall error's on use cause for control utilize in given Cruise additionally, a lot of issues such as both settling and rising times it would to calculate as the proofing for the performed implementation[1–4], the utilize for proposed JayaOptimizationAlgorithm (JOA) can be defined as an extraction technique to made tune within conventionalProportionalIntegralDerivative via design given transferfunctions for simulated ControlSystem, performed of given proposed cruise system. Additionally, the transfer functions were introduced to designing a PIDA controller to utilize the PID by inserting the MATLAB library it involves 4 parameters coefficients known as respectively, PID, A. the cruise control it an cruise system can uses in three main transfer functions to work. Roll: The roll angle characterizes the rotation of the UAV along its longitudinal axis (from nose to tail). The cruisecontrolsystem can be built by using three types of transfer functions the first one amplifier for the power to be guarantee the signal will arrive to the system without losses, A positive yaw corresponds to a clockwise rotation when observed from above, while a negative yaw corresponds to a counterclockwise rotation.
Euler rates, therefore, describe the rates of change of these Euler angles over time. They provide information regarding the rotational speed or angular velocity of the UAV along each of its rotational axes.
Body Rates: Body rates are also associated with the rotational movement of the UAV; however, they are expressed in terms of angular velocity. Body rates describe the rates of change of the UAV’s angular displacement relative to the bodyfixed coordinate system of the aircraft. They are typically measured in radians per second. Body rates can be represented as a vector [p, q, r], where:

p represents the roll rate or the rate of change of the roll angle,

q represents the pitch rate or the rate of change of the pitch angle, and

r represents the yaw rate or the rate of change of the yaw angle.
These rates provide information about the rotational speeds of the UAV around its respective bodyfixed axes. Finally, Euler rates and body rates are both employed to describe the rotational motion of UAVs. Euler rates reflect the rates of change of the Euler angles, which define the orientation of the UAV in terms of roll, pitch, and yaw angles. On the other hand, body rates indicate the angular velocities or rates of change of the UAV’s rotational motion around its bodyfixed axes. additionally the second one it will enhance the amplifier via utilize the enhanced transfer function which is called stable or stabilizer and this piece of control can achieve a good performance due to it development additionally the last one will generate the given control power to the output, the numerical signal that is shown in the feedback of control will make the signal more pure to the output as shown in Fig. 1[5–7].