Title :
On blocking zeros and strong stabilizability of linear multivariable systems
Author :
Chen, Ben M. ; Saberi, Ali ; Sannuti, P.
Author_Institution :
Sch. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA
Abstract :
A characterization of blocking zeros as related to invariant zeros or transmission zeros and their multiplicity structure is given. This characterization reveals several fundamental properties of blocking zeros. For example, given a multivariable system having a transfer function with normal rank greater than unity, it does not have any blocking zeros and hence is strongly stabilizable whenever all its invariant zeros are distinct. On the other hand, all single input and single output systems and some multivariable systems having the normal rank of their individual transfer functions as unity, always require a certain interlacing property among their invariant zeros and poles in order to be strongly stabilizable
Keywords :
linear systems; multivariable control systems; poles and zeros; stability; transfer functions; blocking zeros; interlacing property; invariant zeros; linear multivariable systems; multiplicity structure; strong stabilizability; strongly stabilizable; transfer function; transmission zeros; Computer science; Control systems; Filtering theory; Gain measurement; MIMO; Poles and zeros; Robust control; State feedback; Transfer functions; Uncertain systems;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261370
