Title :
Balanced structures and model reduction of unstable systems
Author_Institution :
Dept. of Electr. Eng., Florida Atlantic Univ., Boca Raton, FL, USA
Abstract :
It is shown that B.C. Moore´s balancing model (1981) can be extended to unstable systems by utilizing two weighted Grammian matrices. It is proposed that the Jω axis can be shifted to handle unstable systems. The balanced approach involves the solution of two modified Lyapunov equations. Two numerical examples are given to illustrate the results
Keywords :
Lyapunov methods; matrix algebra; modelling; stability; balancing model; model reduction; modified Lyapunov equations; unstable systems; weighted Grammian matrices; Controllability; Equations; Information analysis; Kalman filters; MIMO; Mathematical model; Observability; Reduced order systems; Transfer functions;
Conference_Titel :
Southeastcon '91., IEEE Proceedings of
Conference_Location :
Williamsburg, VA
Print_ISBN :
0-7803-0033-5
DOI :
10.1109/SECON.1991.147956
