Abstract
Two discrete time H∝ mixed sensitivity problems are investigated, and a closed formula derived for the optimal cost associated with each. Our approach is based on a state-space analysis, and involves solving two H∝ Riccati equations in terms of the stabilizing solutions to associated H2 Riccati equations. This not only enables the optimal cost to be directly obtained, but also allows considerable simplification of the process of generating controllers which satisfy any desired suboptimal bound. The main result is proved using conditions given with a recent 2-Riccati-equation characterization of discrete time controllers satisfying a closed loop H∝ norm bound.
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.
