Temperature control for Newton’s Law of Cooling using PID Controller

In this paper, a PID controller is applied to control the temperature to a proposed model derived of the Newton’s law of cooling. The control problem considers a second-order model obtained that the rate at which the temperature of a body decreases with time is proportional to the difference in temperature between the body and its surroundings. This model represents a mathematical function the device's output for each possible input with initial conditions zero. The necessary conditions for the asymptotic stability of the proposed controller are validated by implementing the Lyapunov stability theorem. The theoretical concepts are validated utilizing numerical simulations and analysis, which proves the effectiveness of the PID controller for temperature of the system.