Title :
On generating random systems: a gramian approach
Author :
Smith, S. Craig ; Fisher, James
Author_Institution :
Dept. of Mech. Eng., Texas A&M Univ., College Station, TX, USA
Abstract :
A new procedure for computer generation of random stable, linear, time invariant systems in state space form is described. Controllability and observability gramians are randomly generated according to a desired distribution. Then, a system which has the generated gramians is found. This new random system generation method is compared to several other methods using empirically observed distributions on Hankel singular values, eigenvalue magnitudes, and controllability/observability gramian condition numbers.
Keywords :
continuous time systems; controllability; eigenvalues and eigenfunctions; linear systems; observability; random processes; state-space methods; Hankel singular values; computer generation; continuous systems; controllability; eigenvalue magnitudes; gramian approach; linear systems; observability; random stable; random systems; state space form; time invariant systems; Control systems; Controllability; Eigenvalues and eigenfunctions; Frequency response; MATLAB; Observability; Probability distribution; Random number generation; State-space methods; Testing;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1243494
