Title :
A new balanced canonical form for stable multivariable systems
Author_Institution :
Dept. Econometrics, Free Univ., Amsterdam
Abstract :
A new balanced canonical form is presented for stable continuous time multivariable linear systems. The new canonical form has a number of nice properties. The integer invariants that appear in the canonical form are the multiplicities of the Hankel singular values and a number of new invariants, which are in one-to-one bijective correspondence with the Kronecker indices of subsystems. Truncation ofthe state vector leads to stable minimal models in canonical form. In the SISO case the canonical form coincides with Ober´s balanced canonical form. The reachability matrix of a system in canonical form with identical singular values is positive upper triangular. For the class of stable multivariable all-pass systems a detailed treatment of the canonical form is presented
Keywords :
linear systems; matrix algebra; multivariable control systems; stability; Hankel singular values; Kronecker indices; SISO; all-pass systems; balanced canonical form; integer invariants; one-to-one bijective correspondence; positive upper triangular; reachability matrix; stable continuous time multivariable linear systems; stable minimal models; Econometrics; Equations; MIMO; Postal services; Sociotechnical systems; State-space methods;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325722