Title :
All solutions to the ℋ∞ control synthesis problem with unstable weights
Author :
Liu, Kang-Zhi ; Hirata, Mitsuo ; Sato, Takashi
Author_Institution :
Dept. of Electr. & Electron. Eng., Chiba Univ., Japan
Abstract :
We solve the ℋ∞ synthesis problems with unstable weights that arise in servo system synthesis problems and estimation problems of unstable plants. The problem solved is in the most general form and no unnecessary assumptions are made. The solution is based on the structure of the comprehensively stable systems and the solution to an algebraic problem with respect to two linear matrix equations and one linear matrix inequality. This provides an approach to the synthesis of servo systems and the estimation problem of unstable plants
Keywords :
H∞ control; closed loop systems; control system synthesis; feedback; feedforward; matrix algebra; servomechanisms; stability; H∞ control synthesis problem; algebraic problem; comprehensively stable systems; estimation problems; linear matrix equations; linear matrix inequality; servo system synthesis problems; unstable weights; Control system synthesis; Eigenvalues and eigenfunctions; Feedback loop; Kernel; Linear matrix inequalities; Matrix decomposition; Mechanical engineering; Riccati equations; Servomechanisms; Stability analysis;
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.1997.649715
