Abstract
This paper presents a variational approach to /spl Hscr//sup /spl infin// control with transients in the state feedback case. The approach here provides a precise description with equality, instead of inequality, in the necessary and sufficient conditions for the existence of a linear controller. Furthermore, the solution existence and uniqueness are proved in terms of certain properties of the indefinite Riccati equations derived in this paper. The linear time-variant (LTV) plant on finite horizon is considered first, and then the results are extended to the linear time-invariant (LTI) plant on the infinite horizon. By this approach, it can be directly concluded that only suboptimal /spl Hscr//sup /spl infin// state feedback control can be achieved in an input-output point of view and that the performance measure /spl gamma/ (/spl mu//sup 1/2/ used in this paper) is a strict upper 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.
