Title :
Solvability of norm-type discrete algebraic Riccati equation
Author :
Kono, M. ; Takahashi, N. ; Sakamoto, M.
Author_Institution :
Department of Computer Science and System Engineering, Faculty of Engineering, Miyazaki University, 1-1 Gakuen Kibanadai Nishi, Miyazaki, 889-2192, Japan
Abstract :
This paper proposes a norm-type discrete algebraic Riccati Equation, which is a generalized version of the well-known standard discrete algebraic Riccati Equation, and has additional norm terms. Under stabilizability and assumption that the additional terms are not too large, the existence of a positive semidefinite solution is guaranteed. Application to guaranteed cost control is given.
Keywords :
Closed loop systems; Discrete-time systems; Eigenvalues and eigenfunctions; Riccati equations; Symmetric matrices; Upper bound; Discrete algebraic Riccati equation; Guaranteed cost control; Norm-type upper bound; Robust control;
Conference_Titel :
European Control Conference (ECC), 2003
Conference_Location :
Cambridge, UK
Print_ISBN :
978-3-9524173-7-9
