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Digital version of Fractional-Order PID Controller (DFOC) of the form:
C(s) = K + Ti/s^m + Td*s^d for given sampling period Ts [sec].

For more details and help write:
>> help DFOC

This function solves the linear fractional-order differential equations (FODE) with constant coefficients. The short memory principle has not neen used here, so the length of input signal is limited to few hundred samples. The parameters of the...

This toolbox contains the functions which can be used to simulate some of the well-known fractional order chaotic systems, such as:
- Chen's system,
- Arneodo's system,
- Genesio-Tesi's system,
- Lorenz's system,

A new general IIR digital fractional order differentiator/integrator based on continued fraction expansion of weighted operator which is mixed scheme of the trapezoidal (Tustin) rule and the backward difference (Euler) rule.

For more...

A new general FIR digital fractional order differentiator/integrator based on power series expansion of the backward difference (Euler) rule.

For more details see books:

[1] Ivo Petras, Fractional-Order Nonlinear Systems:...

A new general IIR type digital fractional-order differentiator and integrator based on power series expansion of the trapezoidal (Tustin) rule.

For more details and help write:
>> help dfod3

See also my previous...

fractPC.m provides the Predictor-corrector Method for fractional order Relaxation-Oscillation equation (u_t_alpha=-B u(t)+f(t), 0<alpha<=2).

variablerandomorder.m provides the Predictor-corrector Method for the variable-order...

FDE12 solves an initial value problem for a non-linear differential equation of fractional order (FDE).

This is an implementation of the predictor-corrector method of Adams-Bashforth-Moulton described in [1]. Convergence and accuracy of...

Solution of Fractional Optimal Control Problems using Rational Approximation
[1] C. Tricaud and Y.Q. Chen: Solving Fractional Order Optimal Control Problems in RIOTS_95 - A General-Purpose Optimal Control Problem Solver, Proceedings of the...

These functions calculate fractional or complex order derivatives, when the order changes with time. Riemann-Liouville, Caputo and GrdoDsnwald-Letnikoff definitions are provided; the three variations considered by Lorenzo and Hartley are...

A small snipet of code to find the determinant of a mtrix of any order.Input must be a list like [[1,2,3],[4,5,6],[7,8,9]] (for a matrix of order 3). Works fine.

Given an unsigned number, of type 'int' or 'long', this function returns a corresponding number of the same type, with its byte order reversed.
So if input = 0xABCDEF, then output = 0xEFCDAB

This script adjusts the order of the items in a selection box and submit them in that order.

This routine implements Hankel transforms of integer order based on a Fourier-Bessel series expansion. The algorithm is based on a recently published research work:

M. Guizar-Sicairos and J. C. Gutierrez-Vega, Computation of...

It's a deterministic iterative zero order algorithm that can be used to solve unconstrained optimization problem. It finds the relative minimum of a two variables function with a deterministic iterative zero order algorithm.


This programs gives solution of 2nd order differential equation with variable coefficients by Rayleigh Ritz method using linear interpolation

MATLAB Implementation and demo to design of filters in a hybrid FB with fractional delays. The theory is described in the paper:

Ha T. Nguyen and Minh N. Do, Hybrid filter banks with fractional delays: Minimax design and application to...

This difference here is this is pure limit order driven, i.e. 'Market Order' is considered as limit order with limit price higher or lower than current market price, in fact you can consider 'Market Order' as limit order with 'inf' limit price,...

This program gives a PI controller for a second order system
with the damping under control and the controller is of the form

This submission contains the basic functions that are necessary for using the matrix approach to discretization of fractional differential equations, and demos.

The method is described in the following articles:
[1] I. Podlubny,...