Chaotic Characteristics Analysis and Sliding Mode Control for Hydraulic Turbine Governing Systems

Abstract

A nonlinear mathematical model for hydro-turbine governing system (HTGS) has been proposed. Using the proposed model, chaotic characteristics of the system with practical system parameters are studied extensively and presented in forms of Lyapunov exponent, chaotic attractors, sensitivity to initial conditions and the Poincare map. And then a mathematical control scheme of the system is deduced based on the integral sliding mode control. Numerical simulations show that the chaotic vibration is eliminated and the system could be controlled to any fixed points or any periodic orbits strictly and smoothly with a short transition time. The simulation results verify the feasibility of the method, and also provide a reasonable reference for relevant chaos control of HTGS in future.