Title :
A solvability condition of an extended H∞ control problem using Riccati inequalities
Author :
Hirata, Mitsuo ; Liu, Kang-Zhi ; Mita, Tsutomu
Author_Institution :
Fac. of Eng., Chiba Univ., Japan
Abstract :
In this paper, we consider an H∞ problem using unstable weighting functions. Such weights are used to achieve asymptotic disturbance attenuation and/or asymptotic reference tracking, and they cannot be handled by the standard H∞ control theory. For this problem, we present necessary and sufficient conditions to exist a solution using Riccati inequalities. This conditions need no assumptions on the jω invariant zeros of G12 and G21
Keywords :
H∞ control; Riccati equations; asymptotic stability; control system synthesis; Riccati inequalities; asymptotic disturbance attenuation; asymptotic reference tracking; extended H∞ control problem; jω invariant zeros; necessary and sufficient conditions; solvability condition; unstable weighting functions; Attenuation; Bismuth; Control systems; Control theory; Filters; Optimization methods; Riccati equations; Servomechanisms; Sufficient conditions; Systems engineering and theory;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.577577
