A Modified Sliding Mode Control for a Three-Parameter Fourth-Order Chaotic Model of a Power System

Abstract

This paper shows the design of a modified SMC for a three-parameter fourth-order chaotic model of a power system. The suggested approach uses Lyapunov candidate function that includes discontinuous signum function and absolute function based on fractional power of the switching surface using lower number of control inputs. After the PI switching surface has been used, a sliding mode controller is designed. It is observed that employing fractional power of the switching surface with three control input-based controller performs better in terms of lower ITAE, insignificant steady-state error, limited total variation in input, and low control energy compared to a reported work [1]. The simulation results validate the hypothesis.