Title :
Normalized coprime factorization for singular systems
Author :
Liu, W.Q. ; Sreeram, V. ; Teo, K.L. ; Xie, Baohui
Author_Institution :
Dept. of Electr. & Electron. Eng., Univ. of Western Australia, Nedlands, WA, Australia
Abstract :
In this paper, we will consider the normalized right-coprime factorization (NRCF) problem for singular systems. Firstly, the linear quadratic regulator (LQR) theory for singular systems is reviewed with emphasis on the solution of its corresponding Riccati equation. Secondly, a method is developed for a normalized stable, right coprime factorization for a given transfer matrix. This method involves the solution of an algebraic Riccati equation for singular systems and avoids calculations of spectral factors
Keywords :
Riccati equations; linear quadratic control; stability; transfer function matrices; LQ regulator; NRCF; Riccati equation; algebraic Riccati equation; linear quadratic regulator; normalized stable right coprime factorization; singular systems; spectral factors; transfer matrix; Control design; Control system analysis; Mathematics; Optimal control; Reduced order systems; Regulators; Riccati equations; Robust control; State-space methods; Statistics;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.611066
