Observability analysis by Poincaré normal forms
نویسندگان
چکیده
منابع مشابه
Observability analysis by Poincaré normal forms
This paper deals with quadratic equivalence, normal forms of observability, characteristic matrices and normal quadratic numbers for nonlinear Single-Input Single-Output (SISO) systems. We investigated both cases; nonlinear systems linearly observable and nonlinear systems with one linear unobservable mode. Particularly, the e¤ect of the normal quadratic numbers on the observer design is pointe...
متن کاملPainlevé analysis and normal forms theory
Nonlinear vector fields have two important types of singularities: the fixed points in phase space and the time singularities in the complex plane. The first singularities are locally analyzed via normal form theory whereas the second ones are studied by the Painlevé analysis. In this paper, normal form theory is used to describe the solutions around their complex-time singularities. To do so, ...
متن کاملObservability Analysis
In this paper we show that, paradoxically, what looks like a “universal improvement” or a “straight-forward improvement” which enables better security and better reliability on a theoretical level, may in fact, within certain operational contexts, introduce new exposures and attacks, resulting in a weaker operational cryptosystem. We demonstrate a number of such dangerous “improvements”. This i...
متن کاملSingle Output Dependent Quadratic Observability Normal Form
In this paper, two quadratic observability normal forms dependent on output respectively correspondent to drift dominant term and forced dominant term are firstly discussed. Moreover characteristic numbers are studied in order to simplify the calculation of these two normal forms.
متن کاملMulti-Output Dependent Observability Normal Form
This article gives the sufficient condition which guarantees the existence of a reference frame in which a multi-output nonlinear system is linearizable with a linear part depending on its outputs. Our method is based on the design of a reference frame associated with nonlinear observable systems. Moreover, we give the generalization of the result obtained in [5] and [19]. And some examples are...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics of Control, Signals, and Systems
سال: 2009
ISSN: 0932-4194,1435-568X
DOI: 10.1007/s00498-009-0040-9