Title :
Strict LMI conditions for stability, robust stabilization, and H ∞ control of descriptor systems
Author :
Uezato, Eiho ; Ikeda, Masao
Author_Institution :
Dept. of Mech. Eng., Ryukyus Univ., Okinawa, Japan
fDate :
6/21/1905 12:00:00 AM
Abstract :
This paper presents new linear matrix inequality (LMI) conditions for stability, robust stabilization, and H∞ control of linear time-invariant descriptor systems. The conditions are expressed in terms of definite LMIs with no equality constraint, which are much more tractable and reliable in numerical computation than existing conditions, that is, definite LMIs with equality constraints or semidefinite LMIs. Using the results of this paper, we can analyze and design descriptor systems in the almost same way as in the case of state-space models, while sophisticated manipulations are needed to derive the new results
Keywords :
H∞ control; closed loop systems; feedback; linear systems; matrix algebra; robust control; state-space methods; H∞ control; closed loop systems; descriptor systems; feedback; linear matrix inequality; linear time-invariant systems; robust stabilization; stability; state-space models; Constraint theory; Control systems; Eigenvalues and eigenfunctions; Linear matrix inequalities; Mechanical engineering; Mechanical variables control; Positron emission tomography; Robust control; Robust stability; Roundoff errors;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.828001
