Design of Improved Fractional Order Integrators using Indirect Discretization Method
نویسندگان
چکیده
منابع مشابه
Design of Improved Fractional Order Integrators using Indirect Discretization Method
This paper has adopted rational approximation based on Regular Newton method, for frequency domain fitting of transfer functions of fractional order integrators (FOIs). Further, different discretized mathematical models of one-half, one-third and one-fourth order integrators based on Al-Alaoui operator and New optimized four segment operator have been also developed using these rational approxi...
متن کاملDiscretization Schemes for Fractional-Order Differentiators and Integrators
For fractional-order differentiator where is a real number, its discretization is a key step in digital implementation. Two discretization methods are presented. The first scheme is a direct recursive discretization of the Tustin operator. The second one is a direct discretization method using the Al-Alaoui operator via continued fraction expansion (CFE). The approximate discretization is minim...
متن کاملAdaptive discretization of fractional order viscoelasticity using sparse time history
An efficient numerical method to integrate the constitutive response of fractional order viscoelasticity is developed. The method can handle variable time steps. To overcome the problem of the growing amount of data that has to be stored and used in each time step we introduce sparse quadrature. We use an internal variable formulation of the viscoelastic equations where the internal variable is...
متن کاملFractional Order Derivative Filter Design Using Fourier Transform Interpolation Method
Fractional order derivative is one of the important techniques for the designing of fractional order filter such as differentiator and integrator. Three basic approaches that are used for the design of the fractional order differentiator namely: discretization method, interpolation method and approximation method. All these method provide a great degree of approximation to the designed filter s...
متن کاملSimulation and Discretization of Fractional Order Systems
This work deals with the simulation and discretization of continuous time models with fractional order differentiation or integration. It addresses the issue of direct discretization of analog fractional order systems followed by approximating the discretization result with an integer order transfer function or approximating the analog fractional order system with an integer analog order system...
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: International Journal of Computer Applications
سال: 2012
ISSN: 0975-8887
DOI: 10.5120/9618-4260