Abstract
This paper is devoted to the design of an optimal stabilizing compensator for a boundary control distributed parameter system that is described by a set of hyperbolic partial differential equations (PDEs). The standard reformulation of a boundary control system is adopted here to write the system under a regular infinite-dimensional linear system. A finite-dimensional boundary optimal controller is designed based on the linear quadratic technique and the corresponding operator Riccati equation. On the other hand, a Luenberger observer is designed based on the duality between the control and the estimation problems. Combination of the designed controller and observer is performed to construct a stabilizing compensator. A case study of tubular cracking chemical reactor is used to test the performances of the developed algorithm.
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.
