Controlling the Chaotic Motion of Flow in a Thermal Convection Loop with Sliding Mode Control
This study deals with controlling the chaotic motion of flow in a thermal convection loop by using a sliding mode
control signal. Time series, two-dimensional phase plots and three-dimensional phase plane of the chaotic flow in the
thermal convection are presented graphically from its differential equations. Based on the sliding mode control theory, a
Lyapunov function is assigned for ensuring the global asymptotic stability of the error system. Routh–Hurwitz criterions are
also used for determining the signs of sliding mode parameters. Simulation results are demonstrated to verify the correctness
of the theoretical results. They also show that the chaotic motion of flow in a thermal convection loops effectively controlled
owing to a sliding mode controller.
Keywords: Chaos, Chaos Control, One State Controller, Sliding Mode Control, Thermal Convection Loop.