Title :
On discrete spectral factorizations-a unified approach
Author_Institution :
Dept. of Mech. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan
fDate :
10/1/1993 12:00:00 AM
Abstract :
State-space formulas for all key spectral factorizations appearing in the discrete-time H2/H∞ optimization are summarized. The factorization problems are categorized into three groups. Solutions are constructed by finding special coprime factors of a given transfer matrix using the associated discrete algebraic Riccati equation. Solution procedures for the three groups are in general the same, which may lead to yield to a unified approach
Keywords :
discrete time systems; matrix algebra; optimisation; state-space methods; coprime factors; discrete algebraic Riccati equation; discrete spectral factorizations; discrete-time H2/H∞ optimization; transfer matrix; Automatic control; Control systems; Differential equations; Linear systems; Matrix converters; Noise measurement; Notice of Violation; Optimal control; Regulators; Riccati equations;
Journal_Title :
Automatic Control, IEEE Transactions on