Simultaneous H2/H-infinity optimal control - The state feedback caseA simultaneous H2/H-infinity control problem is considered. This problem seeks to minimize the H2 norm of a closed-loop transfer matrix while simultaneously satisfying a prescribed H-infinity norm bound on some other closed-loop transfer matrix by utilizing dynamic state feedback controllers. Such a problem was formulated earlier by Rotea and Khargonekar (1991) who considered only so called regular problems. Here, for a class of singular problems, necessary and sufficient conditions are established so that the posed simultaneous H2/H-infinity problem is solvable by using state feedback controllers. The class of singular problems considered have a left invertible transfer function matrix from the control input to the controlled output which is used for the H2 norm performance measure. This class of problems subsumes the class of regular problems.
Document ID
19920072612
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Saberi, Ali (NASA Langley Research Center Hampton, VA, United States)
Chen, Ben M. (Washington State University Pullman, United States)
Sannuti, Peddapullaiah (Rutgers University Piscataway, NJ, United States)
Ly, Uy-Loi (Washington, University Seattle, United States)
Date Acquired
August 15, 2013
Publication Date
January 1, 1992
Subject Category
Cybernetics
Report/Patent Number
AIAA PAPER 92-4476
Meeting Information
Meeting: AIAA Guidance, Navigation and Control Conference