Abstract
This paper considers reduced-order controller design for the general H ∞ control problem. Based on linear matrix inequality (LMI), two new upper bounds of order reduction are proposed in continuous- and discrete-time contexts respectively. The bounds have a clear geometric interpretation and are only determined by the generalized plant parameter matrices. Moreover, the existence conditions of the reduced-order controller have the same forms as the well-known three LMIs, but with fewer dimension matrix variables. In comparison with the previous results, one of the main advantages is that our approach is applicable to general H ∞ control. Furthermore, the existing results do not imply our results for singular H ∞ control. An illustrative example is given to show the efficiency of our 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.
