Dynamic modeling of heating furnace & enhancing the performance with PIλDμ controller for fractional order model using optimization techniques

Over the year heating furnace system has always suffered a huge loss of heat energy the line of safety of man power. The flow of fuel into chamber of furnace, basically limits the gas pressure inside furnace. So, proper relation between fuel flow rate and gas pressure inside furnace is essential to ensure a proper utilization of heat with minimum settling time and minimum overshoot, so that safety is not compromised. This paper enlightens design of a proper integer order model (IOM) of heating furnace which is further converted into a fractional order model (FOM). This fractional order model is used with PID controllers in closed loop. For enhancing the performance of PID controller, fractional elements are used. Therefore, PI^λD^μ controller is optimized properly for a smooth, low overshoot response with a very low settling time. These proposed results may be implemented properly in small scale furnaces or large scale industrial furnaces.