Title :
The structure of the γ-domain for H∞ riccati solutions
Author :
Li, X.P. ; Chang, B.C.
Author_Institution :
Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, PA 19104.
Abstract :
The state space approach to H∞ control problem, proposed by DGKF [1], is an limportant contribution to both robust control theory and engineering. The central part of the design procedure by using this method is to solve two indefinite Riccati equations. The solutions are functions of a parameter γ. In this paper, the structure of the γ-domain on which the Riccati solutions exist and/or are positive semidefinite are investigated. Moreover, some properties of the lower bounds of the domain are also given. By using these properties, a quadratically convergent algorithm can be developed to compute the lower bounds of the γ-domain.
Keywords :
Computer aided analysis; Eigenvalues and eigenfunctions; Filtering theory; Helium; Propagation losses; Riccati equations; Robust control; State-space methods; Tellurium; Upper bound;
Conference_Titel :
American Control Conference, 1992
Conference_Location :
Chicago, IL, USA
Print_ISBN :
0-7803-0210-9
