Abstract
A spatially distributed form of a second-order sliding-mode control algorithm is suggested for the feedback control of a heat process subject to unmeasurable, sufficiently smooth, persistent disturbances of arbitrary shape. In order to obtain a continuous control input, while retaining similar properties of robustness as those usually endowing the discontinuous control systems, a dynamic input-extension technique is exploited by adding an integrator at the input side and by applying a discontinuous distributed input to the integrator. We present a constructive Lyapunov analysis of the closed-loop performance that yields simple controller tuning conditions guaranteeing the asymptotic tracking of a sufficiently smooth reference trajectory despite the presence of norm-bounded persistent disturbances. Numerical simulations confirm the effectiveness of the proposed approach.
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.
