Title :
A descriptor solution to a class of discrete distance problems
Author :
Al-Husari, M.M.M. ; Jaimoukha, I.M. ; Limebeer, D.J.N.
Author_Institution :
Dept. of Electr. & Electron. Eng., Imperial Coll. of Sci., Technol. & Med., London, UK
fDate :
11/1/1997 12:00:00 AM
Abstract :
Hankel norm and Nehari-type approximation problems arise in model reduction and ℋ∞-control theory. Existing solutions to the discrete-time version of these problems may be derived using a standard state-space framework, but the resulting solution formulas require an invertible A-matrix. As a further complication, the D-matrix in the representation formula for all solutions becomes unbounded in the optimal case. The aim of this paper is to show that both these complications may be removed by analyzing these problems in a descriptor framework
Keywords :
H∞ control; approximation theory; discrete time systems; linear systems; matrix algebra; reduced order systems; state-space methods; H∞-control; Nehari-type approximation; descriptor systems; discrete distance problems; discrete time systems; matrix algebra; model reduction; state-space; Codes; Context modeling; Control theory; Cryptography; Decoding; Iterative algorithms; Linear algebra; Linear systems; Polynomials; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
