Title :
An explicit method for computing the positive real lemma matrices
Author :
Sadegh, Nader ; Finney, John D. ; Heck, Bonnie S.
Author_Institution :
George W. Woodruff Sch. of Mech. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
This paper presents an explicit noniterative method for computing the positive real matrices and Youla´s spectral factorization of an MIMO strictly positive real system. All the computations are performed based on a minimal state space realization (A, B, C, D) with no restriction on D. The algorithm is tested on a seventh order MIMO system
Keywords :
MIMO systems; control system analysis; matrix decomposition; multivariable control systems; realisation theory; state-space methods; transfer functions; MIMO strictly positive real system; explicit noniterative method; minimal state-space realization; positive real lemma matrices; seventh-order MIMO system; spectral factorization; Algorithm design and analysis; Control systems; MIMO; Mechanical engineering; Nonlinear equations; Robust stability; Space technology; State-space methods; System testing; Transfer functions;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411239
