Title :
Generalized H2/H∞ control: general formulas
Author :
Rotea, Mario A. ; Iwasaki, Tetsuya
Author_Institution :
Sch. of Aeronaut. & Astronaut., Purdue Univ., West Lafayette, IN, USA
Abstract :
This paper presents a solution to a control problem with H2 and H∞ design specifications. Under a minimal set of assumptions, the authors give formulas for solving the problem of finding a controller such that an upper bound for the generalized H2 norm of a closed loop transfer matrix, and the H∞ norm of some other closed loop transfer matrix, are jointly below specified levels. Both full-information/state feedback and output feedback problems are considered. The numerical implementation of the authors´ formulas requires a standard algebraic Riccati equation solver and a linear matrix inequality solver
Keywords :
H∞ control; Riccati equations; closed loop systems; control system synthesis; matrix algebra; state feedback; state-space methods; transfer function matrices; Generalized H2/H∞ control; H∞ norm; algebraic Riccati equation solver; closed loop transfer matrix; design specifications; full-information/state feedback; generalized H2 norm; linear matrix inequality solver; output feedback; upper bound; Closed loop systems; Control systems; Control theory; Extraterrestrial measurements; H infinity control; Hydrogen; Linear matrix inequalities; Output feedback; Riccati equations; State feedback;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478633
