Volterra and Algebraic Approaches to the Zero Dynamics
1994 (English)Licentiate thesis, monograph (Other academic)
The zero dynamics is a property of affi.ne nonlinear systems w hich has been extensively studied during the last decade. Its properties are important in several contexts such as exact linearization, stabilization and sliding mode control. We will first give a result which considers how zeros of the sequence of transfer functions that emerge from the Laplace transform of the regular kernels in a Volterra series are connected to the zero dynamics. It is shown that if a certain factorization can be performed then zeros in the right half plane gives an unstable zero dynamics. This can be viewed as a generalization of the linear case.
Further, a result is given which shows how differential algebra, in particular the Ritt algorithm, can be used to calculate zero dynamics. For a large dass of affi.ne SISO state space descriptions the Ritt algorithm, with a certain ranking, is shown to give the zero dynamics. This indicates that the concept of zero dynamics can be generalized to more complex state space descriptions.
Place, publisher, year, edition, pages
Linköping: Linköping University , 1994. , 93 p.
Linköping Studies in Science and Technology. Thesis, ISSN 0280-7971 ; 438
IdentifiersURN: urn:nbn:se:liu:diva-98089Local ID: LiU-Tek-Lic-1994:24ISBN: 91-7871-372-2OAI: oai:DiVA.org:liu-98089DiVA: diva2:652094