Title :
The ℋ∞ optimal control problem in a behavioral setting
Author :
Weiland, Siep ; Stoorvogel, Anton A. ; De Jager, Bram
Author_Institution :
Dept. of Electr. Eng., Eindhoven Univ. of Technol., Netherlands
Abstract :
The general H∞ control problem has been formalized in a behavioral setting and it is shown that H∞ optimal controllers can be synthesized using J-spectral factorizations. The idea to view control as restricting the interconnection variables of a system turns out to be a useful starting point for the formulation and solution of an H∞ control problem, which departs from the prevailing input-output formalization of this problem. The results of this paper provide a conceptual advantage in that no assumptions are made on input-output decompositions of variables or on the causality structure of plant and controller
Keywords :
H∞ control; control system synthesis; matrix decomposition; H∞ optimal controller synthesis; I/O decompositions; I/O formalization; J-spectral factorizations; behavioral setting; causality structure; input-output decompositions; input-output formalization; Actuators; Control design; Control system synthesis; Control systems; Design optimization; Mathematics; Mechanical engineering; Optimal control; Power engineering computing; Signal synthesis;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657748
