Turbofan Engine Modelling and Control Design using Linear Quadratic Regulator (LQR)

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There are many applications in which gas turbine engine is used today, including aircraft propulsion for both commercial and military purposes, and power generation and in all these Control systems technology has played a fundamental role in enhancing performance.Modelling plays a significant role in the development of the entire engine system performance.This paper investigated Linear Quadratic Regulator (LQR) model-based control method to obtain estimates of performance parameters.The main control variable selected is the fuel flow to control the rotational speed of high-pressure spool speed of the turbofan engine.Firstly a suitable mathematical model of the engine is developed in MATLAB Simulink environment with both the intercomponent volume and the constant mass flow methods used.Equations of the mass flow rate and the torque balance are incorporated in the steady state and dynamic state of the thermodynamic engine model.This represents the engine model by a set of first-order differential and algebraic equations and a linearized model is extracted for the analysis and design of a controller by LQR.It is demonstrated that LQR based controllers can perform better than conventional PID controllers.The settling time, rise time and maximum overshoot for LQR based controller are all less than those for PID based controller.The input also changes more accurately for LQR than the PID controller compared.