Abstract
Attenuation of sinusoidal disturbances with uncertain and arbitrarily time-varying frequencies is considered. The disturbances are modeled as the outputs of an autonomous exogenous system, whose system matrix depends on some uncertain parameters and is yet skew-symmetric for all admissible parameter values. A procedure is then developed for the synthesis of a linear time-invariant controller that guarantees a desired level of attenuation at steady-state as well as sufficiently fast transient response in the face of all admissible parameter variations. The procedure is based on solving a convex optimization problem in which the variables are subject to a set of linear matrix inequality as well as equality constraints. The order of the controller is equal to the order of the plant plus the order of the exogenous system.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.