Title: Chaos control of a four-dimensional fundamental power system using pole placement-based proportional integral sliding mode control

Authors: Manish Kumar; Piyush Pratap Singh

Addresses: Department of Electrical Engineering, National Institute of Technology (NIT) Meghalaya, Shillong, Meghalaya, 793003, India ' Department of Electrical Engineering, National Institute of Technology (NIT) Meghalaya, Shillong, Meghalaya, 793003, India

Abstract: In this paper, the problem of chaos control for a four-dimensional fundamental power system (FDFPS) model is investigated. Pole placement-based proportional integral sliding mode control (PISMC) is designed to control the chaos present in the system. Proportional integral sliding mode control law is derived by placing the poles at appropriate location to control the chaotic behaviour in four-dimensional fundamental power systems. The sufficient condition is derived for the asymptotic stability of the sliding manifold using Lyapunov stability theory. The proposed controller reduces the chattering, simplifies the design of power system stabiliser. Further the proposed pole placement-based PISMC is compared with conventional SMC approach. MATLAB is used for simulation. Simulation results show the effectiveness of proposed PISMC scheme.

Keywords: chaotic system; chaos control; proportional-integral sliding mode control; SMIB power system; Lyapunov stability theory.

DOI: 10.1504/IJAAC.2019.102671

International Journal of Automation and Control, 2019 Vol.13 No.6, pp.679 - 697

Available online: 01 Oct 2019 *

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