Synergetic and Lyapunov Redesign based Nonlinear Control Approach for Gas Turbine System

Gas turbine systems are getting growing interest because of some of their features including limited emissions, flexible operation of power generation, versatile and minimal upfront investment. Moreover, the advent of green hydrogen as fuel to be combined with natural gas in different content rates has even more raised attention on gas turbines. The main goal of this article is to propose controllers such as Synergetic and Lyapunov Redesign to achieve a performance improvement using nonlinear control theory. The nonlinear model for the gas turbine system (GTS) is considered in the controller's model through a set of state variables. As an example, the speed of the GTS is determined by the fuel flow rate under varying load conditions. The Synergetic Controller (SC) and Lyapunov Redesign Controller (LRC) have been proposed for the fuel flow regulation to achieve the speed stabilization of a GTS in presence of disturbances. The mathematical derivation of the proposed SC and LRC has been done using the nonlinear theory. To prove the asymptotic stability of the proposed controllers for the GTS, the Lyapunov theory has been utilized. To validate the performance capability of the proposed controllers, the simulations have been performed in MATLAB/Simulink. The proposed controllers have been compared with the conventional linear PID controller, showing that the SC outperforms others in terms of the convergence time and the steady state errors.