Avr System Analysis and Simulation by Using Fopid and Parameters Variation Effects

The FOPID control units for an AVR system with a fractional filter are a unique fractional order. The main responsibility for controlling the reactive power and voltage level is an automated tensile regulator (AVR). PID controller, sensor, exciter, and stabiliser or amplifier are used for the module system. The system is designed according to state-space technology. The proposed controller must have seven independent parameters. A comparison of the published study with optimal adjusted AVR PID and FOPID controls also shows that the proposed controller is superior. The recommended controls derived from the bode analysis with their frequency response characteristics are shown. Finally, the resilience of the controller design is individually examined for both the parameter uncertainties of AVR system and outside storages introduced into AVR system. Given the overall results presented there are clear improvements to the performance of AVR system by a fractional filter in a proposed FOPID controller, and that the AVR system may successfully be applied to the suggested control.

Analysis and Design of Optimized Fractional Order Low-Pass Bessel Filter

This paper approximates the behavior of low-pass Bessel filter in fractional domain using the Interior search algorithm (ISA). A detailed analysis has been done with sensitivity analysis, W-plane stability and absolute percentage error (gain and cut-off frequency) to study the low-pass fractional order filter. The work focuses on the analysis and design of fractional filter with two cases. In the first case, the design and simulation of [Formula: see text] order low-pass Bessel filter has been done using MATLAB for [Formula: see text] value ranging from 0.1 to 0.9. SPICE simulation of 1.2, 1.5 and 1.9 order low-pass Bessel filter using fractional order capacitor of order [Formula: see text] with Tow–Thomas biquad have been performed. In the second case, low-pass ([Formula: see text] order Bessel filter has been simulated and designed using MATLAB, where [Formula: see text] and [Formula: see text] are two fractional order elements of a different order. SPICE simulation for different values of [Formula: see text] and [Formula: see text] have been done using two fractional order capacitors of [Formula: see text] and [Formula: see text] order with Tow–Thomas biquad.

Internal model controller based PID with fractional filter design for a nonlinear process

In this paper, an Internal model Controller (IMC) based PID with fractional filter for a first order plus time delay process is proposed. The structure of the controller has two parts, one is integer PID controller part cascaded with fractional filter. The proposed controller has two tuning factors λ, filter time constant and a, fractional order of the filter. In this work, the two factors are decided in order to obtain low Integral Time Absolute Error (ITAE). The effectiveness of the proposed controller is studied by considering a non linear (hopper tank) process. The experimental set up is fabricated in the laboratory and then data driven model is developed from the experimental data. The non linear process model is linearised using piecewise linearization and two linear regions are obtained. At each operating point, linear first order plus dead time model is obtained and the controller is designed for the same. To show the practical applicability, the proposed controller is implemented for the proposed experimental laboratory prototype.

Novel design of a fractional wavelet and its application to image denoising

This paper proposes a new wavelet family based on fractional calculus. The Haar wavelet is extended to fractional order by a generalization of the associated conventional low-pass filter using the fractional delay operator Z-D. The high-pass fractional filter is then designed by a simple modulation of the low-pass filter. In contrast, the scaling and wavelet functions are constructed using the cascade Daubechies algorithm. The regularity and orthogonality of the obtained wavelet basis are ensured by a good choice of the fractional filter coefficients. An application example is presented to illustrate the effectiveness of the proposed method. Thanks to the flexibility of the fractional filters, the proposed approach provides better performance in term of image denoising.

Fractional-order internal model control algorithm based on the force/position control structure of redundant actuation parallel robot

This article proposes a new control structure for the complex redundant actuation parallel robot based on force/position hybrid control structure. The traditional proportional–integral–derivative control method, integer-order internal model control method and fractional-filter internal model control–proportional–derivative control method are used in the position structure of force/position hybrid control. The fractional-filter internal model control–proportional–derivative control method is used in the position loop of the permanent magnet synchronous motor to reduce the position error. A fractional-order theory with the internal model control method is used in redundant actuation force control structure, which can improve the control precision of the driving force of the parallel robot. The Admas/Matlab simulation results show that the proposed method outperforms other methods and can obtain good robustness and tracking performance.