Observers of fractional linear continuous-time systems
نویسندگان
چکیده
منابع مشابه
Reduced-order fractional descriptor observers for fractional descriptor continuous-time linear system
Fractional descriptor reduced-order observers for fractional descriptor continuous-time linear systems are proposed. Necessary and sufficient conditions for the existence of the observers are established. The design procedure of the observers is given and is demonstrated on two numerical examples.
متن کاملSingular Fractional Continuous-time and Discrete-time Linear Systems
Abstract: New classes of singular fractional continuous-time and discrete-time linear systems are introduced. Electrical circuits are example of singular fractional continuous-time systems. Using the Caputo definition of the fractional derivative, the Weierstrass regular pencil decomposition and Laplace transformation the solution to the state equation of singular fractional linear systems is d...
متن کاملApproximation of fractional positive stable continuous-time linear systems by fractional positive stable discrete-time systems
In positive systems inputs, state variables and outputs take only non-negative values. Examples of positive systems are industrial processes involving chemical reactors, heat exchangers and distillation columns, storage systems, compartmental systems, or water and atmospheric pollution models. A variety of models having positive linear behavior can be found in engineering, management science, e...
متن کاملReachability of Cone Fractional Continuous-Time Linear Systems
In positive systems inputs, state variables and outputs take only non-negative values. Examples of positive systems are industrial processes involving chemical reactors, heat exchangers and distillation columns, storage systems, compartmental systems, water and atmospheric pollution models. A variety of models having positive linear systems behaviour can be found in engineering, management scie...
متن کاملPositive stable realizations of fractional continuous-time linear systems
Conditions for the existence of positive stable realizations with system Metzler matrices for fractional continuous-time linear systems are established. A procedure based on the Gilbert method for computation of positive stable realizations of proper transfer matrices is proposed. It is shown that linear minimum-phase systems with real negative poles and zeros always have positive stable realiz...
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: Archives of Control Sciences
سال: 2023
ISSN: ['1230-2384', '2300-2611']
DOI: https://doi.org/10.24425/acs.2022.140865