Application of generalized fractional calculus in the gain scheduled control systems

2019 ◽  
Author(s):  
Emil K. Nikolov ◽  
Nina G. Nikolova
Keyword(s):  
Fractional Calculus ◽  
Control Systems ◽  
Generalized Fractional Calculus ◽  
Gain Scheduled

scholarly journals Absorptive Repetitive Filters with Operators of Generalized Fractional Calculus

2013 ◽  
Vol 13 (4) ◽  
pp. 42-53 ◽  
Author(s):  
Nina Nikolova ◽  
Emil Nikolov
Keyword(s):  
Comparative Analysis ◽  
Fractional Calculus ◽  
Control Systems ◽  
Fractional Order ◽  
Fractional Integration ◽  
Frequency Characteristics ◽  
Rational Approximations ◽  
Integer Order ◽  
New Class ◽  
Generalized Fractional Calculus

Abstract : An essentially new class of repetitive fractional disturbance absorptive filters in disturbances absorbing control systems is proposed in the paper. Systematization of the standard repetitive fractional disturbance absorptive filters of this class is suggested. They use rational approximations of the operators for fractional integration in the theory of fractional calculus. The paper discusses the possibilities for repetitive absorbing of the disturbances with integer order filters and with fractional order filters. The results from the comparative analysis of their frequency characteristics are given below.

scholarly journals Fractional Order Models of Industrial Pneumatic Controllers

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Abolhassan Razminia ◽  
Dumitru Baleanu
Keyword(s):  
Process Control ◽  
Fractional Calculus ◽  
Numerical Simulations ◽  
Control Systems ◽  
Fractional Order ◽  
Dynamical Models ◽  
Industrial Automation ◽  
New Approach ◽  
Process Control Systems ◽  
Theoretical Results

This paper addresses a new approach for modeling of versatile controllers in industrial automation and process control systems such as pneumatic controllers. Some fractional order dynamical models are developed for pressure and pneumatic systems with bellows-nozzle-flapper configuration. In the light of fractional calculus, a fractional order derivative-derivative (FrDD) controller and integral-derivative (FrID) are remodeled. Numerical simulations illustrate the application of the obtained theoretical results in simple examples.

Adaptive gain-order fractional control for network-based applications

2014 ◽  
Vol 17 (2) ◽  
Author(s):  
Inés Tejado ◽  
S. HosseinNia ◽  
Blas Vinagre
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Adaptive Controller ◽  
System Stability ◽  
Switching Systems ◽  
Time Varying ◽  
Control Performance ◽  
Velocity Control ◽  
Fractional Control ◽  
Gain Scheduled

AbstractThis paper deals with the application of adaptive fractional order control to networked control systems (NCSs) to compensate the effects of time-varying network-induced delays. In essence, it adapts both the gains and the orders of a local PIαDμ controller in accordance with the current network condition in order to avoid a decreased control performance. A frequency domain framework is provided to analyze the system stability on the basis of the switching systems theory. The velocity control of a servomotor through the Internet is given to show the effectiveness of the proposed adaptive controller, including a comparison with non- and gain scheduled controllers.

Some generalized fractional calculus operators and their applications in integral equations

2012 ◽  
Vol 15 (4) ◽  
Author(s):  
Om Agrawal
Keyword(s):  
Differential Equations ◽  
Fractional Calculus ◽  
Integral Equations ◽  
Systematic Approach ◽  
Fractional Integrals ◽  
Generalized Fractional Calculus ◽  
Fractional Calculus Operators ◽  
Fractional Integrals And Derivatives ◽  
Generalized Fractional Calculus Operators

AbstractIn this paper, we survey some generalizations of fractional integrals and derivatives and present some of their properties. Using these properties, we show that many integral equations can be solved in a much elegant way. We believe that this will blur the distinction between the integral and differential equations, and provide a systematic approach for the two of these classes.

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