Abstract
In this paper, sliding mode control (SMC) is developed to regulate the water content in the soil. The movement of water in the soil is modeled by the Richards equation, which is a parabolic partial differential equation (PDE). The non-collocated SMC of PDEs is considered, that is, where the sensor and the actuator are at different positions. Two control objectives are considered: the mean water content control, and the water content control at a specified depth. For these purposes, non-standard sliding manifolds are proposed. The existence of the sliding mode in this control system is proved using a Lyapunov function, and the stability properties are analyzed using a frequency stability criterion. Simulation results indicate the excellent transient performance and the complete rejection of external disturbances caused by water evaporation, outperforming on–off and PI controllers.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
