Abstract
This paper considers the problem of actuator dynamics and sensor dynamics compensation for linear systems. The dynamics compensations are described by stabilizing or observing cascade systems which can be decoupled by the upper-block-triangle transform. A full state feedback is designed to stabilize the cascade system exponentially and a state observer is proposed to estimate the system state in the abstract framework. It is shown that the error based observer design for output regulation can be converted into a sensor dynamics compensation problem by the well-known regulator equations. As applications, an unstable heat equation with ODE actuator dynamics and an ODE with an unstable heat equation sensor dynamics are investigated to validate the theoretical results. The numerical simulations for both of them are carried out to validate the proposed approach visually.
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.
