Traditional identification algorithms for fractional‐order system require stringent information on the derivatives of the objective function and initial values of the parameters, which is difficult in practical applications. The differential evolution (DE) algorithm has the advantage of simple implementation ...
Fractional-Order Controllers (FOC) extend PID controllers by using non-integer order integral and derivative actions. They have many advantages even if the tuning methods are still at their infancy. Hence we apply Differential Evolution (DE) optimization to tune parameters of FOC in a unitary feed...
Study of the fractional order proportional integral controller for the permanent magnet synchronous motor based on the differential evolution algorithm Study of the fractional order proportional integral controller for the permanent magnet synchronous motor based on differential evolution algorithm, ISA transacti...
and has become a critical limitation to tracking performance.An equivalent fractional order dynamic model of a piezoelectric actuated FTS is established based on fractional order calculus,and the transfer function of the FTS is obtained.An improved differential evolution(IDE) algorithm is employed to ...
of view, orthogonal polynomials of fractional-order have better ability to represent the fine details of a given function than their counterpart orthogonal polynomials of integer order [28]. Therefore, researchers started the fourth stage of evolution by defining the fractional-order orthogonal moments....
Summary: This paper introduces a new design method of Fractional-Order Proportional-Derivative (FOPD) and Fractional-Order Proportional-Integral-Derivative (FOPID) controllers. A biquadratic approximation of a fractional-order differential operator is used to introduce a new structure of finite-order FO...
An improved differential evolution algorithm for vehicle routing problem with ... M Lai,E Cao - 《Engineering Applications of Artificial Intelligence》 被引量: 163发表: 2010年 A new stochastic approach for solution of Riccati differential equation of fractional order In this article, a stochastic ...
In this paper, we mainly investigate the existence, continuous dependence, and the optimal control for nonlocal fractional differential evolution equations of order (1,2) in Banach spaces. We define a competent definition of a mild solution. On this basis, we verify the well-posedness of the ...
In this paper, sufficient conditions are established for the approximate controllability of a class of semilinear delay control systems of fractional order... S Kumar,N Sukavanam - 《Journal of Differential Equations》 被引量: 206发表: 2012年 Approximate Controllability of Fractional Order Semilinear...
In general, the evolution of the rumor propagation is described by the first-order differential equations or partial differential equations. By replacing it with fractional-order differentiation, the equation appears as a time-dependent function or memory core, so that the state of the system ...