Gravitational Search Algorithm and Lyapunov Theory based Stable Adaptive Fuzzy Logic Controller

In this paper a new hybrid design methodology for stable adaptive fuzzy controllers for a non-linear system is proposed. The proposed design strategy utilizes the gravitational search algorithm (GSA) based heuristic global search technique and Lyapunov theory based local adaptation. The objective is to design a self-adaptive fuzzy controller, optimizing the free parameters of the fuzzy controller, so that the designed controller can guarantee desired stability. The GSA based design and hybrid GSA- Lyapunov concurrent design methodologies are implemented for a nonlinear plant with different reference signals and the results demonstrate the superiority of proposed hybrid design methodology.