Butterworth Filter

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Juan Chen - One of the best experts on this subject based on the ideXlab platform.

  • internal model control with improved Butterworth Filter based on inverted decoupling for multivariable systems
    Systems Man and Cybernetics, 2019
    Co-Authors: Kaiyue Liu, Juan Chen, Rui Wang
    Abstract:

    Multi-input and multi-output (MIMO) systems not only have large time-delay and strong coupling, but also have the complexity in the controller design caused by multiple time delays. Especially the existence of the non-minimum phase (RHP zero) in the controlled process model brings more difficulties to the control system. Due to the simplicity of the structure and calculation of the internal model control based on the inverted decoupling (ID-IMC), an improved Butterworth Filter is introduced into the ID-IMC system design, so that the performance of the closed-loop control system is improved. Moreover, some realizable conditions are discussed to avoid the adverse effects caused by the pure time-leading and unstable poles (RHP poles). Aiming at the problems of the external disturbance and uncertainty, a sensitivity function and a $\mu$ analysis are employed to analyze the robust stability (RS) and robust performance (RP) of the system. Simulations are carried out to demonstrate the effectiveness of the proposed method.

  • SMC - Internal Model Control with Improved Butterworth Filter Based on Inverted Decoupling for Multivariable Systems
    2019 IEEE International Conference on Systems Man and Cybernetics (SMC), 2019
    Co-Authors: Kaiyue Liu, Juan Chen, Rui Wang
    Abstract:

    Multi-input and multi-output (MIMO) systems not only have large time-delay and strong coupling, but also have the complexity in the controller design caused by multiple time delays. Especially the existence of the non-minimum phase (RHP zero) in the controlled process model brings more difficulties to the control system. Due to the simplicity of the structure and calculation of the internal model control based on the inverted decoupling (ID-IMC), an improved Butterworth Filter is introduced into the ID-IMC system design, so that the performance of the closed-loop control system is improved. Moreover, some realizable conditions are discussed to avoid the adverse effects caused by the pure time-leading and unstable poles (RHP poles). Aiming at the problems of the external disturbance and uncertainty, a sensitivity function and a $\mu$ analysis are employed to analyze the robust stability (RS) and robust performance (RP) of the system. Simulations are carried out to demonstrate the effectiveness of the proposed method.

  • A design method of decoupling IMC controller for multi-variable system based on Butterworth Filter
    2017 American Control Conference (ACC), 2017
    Co-Authors: Hang Wang, Juan Chen
    Abstract:

    A new decoupling internal model controller design method was proposed for the decoupling problem of the multivariable time-delay systems in industrial processes. This method is based on the adjoint matrix of the controlled object model. According to the basic principle of inversion, decoupling compensator is designed firstly, and then the internal model controller is designed for the decoupling generalized controlled object. In order to obtain better control effect, Butterworth Filter (maximum flat Filter) is used as the low pass Filter in internal model controller, and then the integrated decoupling internal model control (IMC) is obtained. The feedback Filter is designed to enhance the disturbance rejection ability. The classical Jerome- Ray model was simulated in this paper. The simulation results show that the proposed method has good dynamic decoupling effect and dynamic response characteristics. When process object mismatches process model or the system is disturbed, the proposed method still shows strong decoupling effect and disturbance rejection ability, which validates the robustness of the system.

  • ACC - A design method of decoupling IMC controller for multi-variable system based on Butterworth Filter
    2017 American Control Conference (ACC), 2017
    Co-Authors: Hang Wang, Yu-qi Zhu, Juan Chen
    Abstract:

    A new decoupling internal model controller design method was proposed for the decoupling problem of the multivariable time-delay systems in industrial processes. This method is based on the adjoint matrix of the controlled object model. According to the basic principle of inversion, decoupling compensator is designed firstly, and then the internal model controller is designed for the decoupling generalized controlled object. In order to obtain better control effect, Butterworth Filter (maximum flat Filter) is used as the low pass Filter in internal model controller, and then the integrated decoupling internal model control (IMC) is obtained. The feedback Filter is designed to enhance the disturbance rejection ability. The classical Jerome- Ray model was simulated in this paper. The simulation results show that the proposed method has good dynamic decoupling effect and dynamic response characteristics. When process object mismatches process model or the system is disturbed, the proposed method still shows strong decoupling effect and disturbance rejection ability, which validates the robustness of the system.

Hans Gaunholt - One of the best experts on this subject based on the ideXlab platform.

  • a numerical design approach for single amplifier active rc Butterworth Filter of order 5
    International Symposium on Circuits and Systems, 2007
    Co-Authors: Hans Gaunholt
    Abstract:

    A design method is presented for the design of all pole lowpass active-RC Filters applying operational amplifiers. The operational amplifier model used is the integrator model: omegat/s where omegat is the unity gain frequency. The design method is used for the design of a fifth order Butterworth Filter applying just one operational amplifier coupled as a unity gain amplifier. It is shown that the influence from the real operational amplifier may be reduced by trimming just one resistor in the circuit. The unity gain amplifiers have the advantage of providing low power consumption, yielding a large dynamic range, sometimes simplifying the amplifier design and being usable over a larger frequency range than conventional constant gain amplifiers. The Schoeffler sensitivity index is used as a basis for a sensitivity comparison with other similar Filters reported in the literature.

  • ISCAS - A numerical design approach for single amplifier, Active-RC Butterworth Filter of order 5
    2007 IEEE International Symposium on Circuits and Systems, 2007
    Co-Authors: Hans Gaunholt
    Abstract:

    A design method is presented for the design of all pole lowpass active-RC Filters applying operational amplifiers. The operational amplifier model used is the integrator model: omegat/s where omegat is the unity gain frequency. The design method is used for the design of a fifth order Butterworth Filter applying just one operational amplifier coupled as a unity gain amplifier. It is shown that the influence from the real operational amplifier may be reduced by trimming just one resistor in the circuit. The unity gain amplifiers have the advantage of providing low power consumption, yielding a large dynamic range, sometimes simplifying the amplifier design and being usable over a larger frequency range than conventional constant gain amplifiers. The Schoeffler sensitivity index is used as a basis for a sensitivity comparison with other similar Filters reported in the literature.

Maneesha Gupta - One of the best experts on this subject based on the ideXlab platform.

  • Fractional order Butterworth Filter optimization using Interior Search Algorithm
    2020 IEEE 5th International Conference on Computing Communication and Automation (ICCCA), 2020
    Co-Authors: Nivedita Sreejeth, Varun Saxena, Ashu Soni, Maneesha Gupta
    Abstract:

    A meta-heuristic algorithm – Interior search Algorithm (ISA) based optimization of fractional second order Butterworth Filter is presented in this paper. The performance of this method is compared to a previously used Simulated Annealing based approach. ISA is used to find the global best for the transfer function by generating coefficients for optimal performance using the fitness function. Finally, an integer order Filter is realized using the Tow Thomas Filter to simulate the performance of the optimized fractional Filter.

  • series optimized fractional order low pass Butterworth Filter
    Arabian Journal for Science and Engineering, 2020
    Co-Authors: Ashu Soni, Nivedita Sreejeth, Varun Saxena, Maneesha Gupta
    Abstract:

    The design and realization of fractional-order low-pass Butterworth Filter (FOLPBF) for order (1 + α), with 0 < α < 1, optimized using a speed enhanced series combination of two meta-heuristic algorithms, namely cuckoo search algorithm (CSA) and interior search algorithm (ISA), is presented in this paper. This method optimizes both the gain and phase for the FOLPBF with respect to the ideal second-order Butterworth Filter. The improvement in CSA → ISA series algorithm is established over standalone optimization using CSA and ISA on the basis of gain error, roll-off error, 3 dB frequency error, magnitude error [including passband error (PE) and stopband error (SE)], phase error, and convergence rate. The performance of the series optimization is demonstrated to be superior to the optimization techniques used in previous literature in terms of roll-off error, 3 dB frequency error, PE, SE, phase error and speed. The transient responses achieved with CSA → ISA series optimization is compared with the ideal response using Simulink simulations.

  • Active realization of fractional order Butterworth lowpass Filter using DVCC
    Journal of King Saud University - Engineering Sciences, 2020
    Co-Authors: Shalabh Kumar Mishra, Maneesha Gupta, Dharmendra K. Upadhyay
    Abstract:

    Abstract This paper presents an active realization of fraction order Butterworth lowpass Filter using a differential voltage current conveyor (DVCC) and two fractance devices (FDs). Initially, the DVCC based fractional order system transfer function is developed. Then, the transfer function of the developed system is equated with the standard fractional order Butterworth equation. By equating this, the generalized condition is obtained for which the developed system behaves like a fractional order Butterworth Filter. Further, the effect of current and voltage tracking errors of DVCC, on the system response is investigated using Monte Carlo analysis. Stability of the proposed fractional order Butterworth Filter is investigated by pole-zero analysis in complex W-plane. Moreover, the dependency of Filter cutoff frequency, on various circuit parameters are investigated using 3D plots. Finally to validate the theoretical results, proposed fractional order Butterworth Filter is simulated using R-C ladder network based fractional order capacitor, in PSpice environment using 0.5 μm MIETEC CMOS technology.

  • Series Optimized Fractional Order Low Pass Butterworth Filter
    Arabian Journal for Science and Engineering, 2019
    Co-Authors: Ashu Soni, Nivedita Sreejeth, Varun Saxena, Maneesha Gupta
    Abstract:

    The design and realization of fractional-order low-pass Butterworth Filter (FOLPBF) for order (1 +  α ), with 0 

  • Design of Fractional Order Butterworth Filter using Genetic Algorithm
    2018 2nd IEEE International Conference on Power Electronics Intelligent Control and Energy Systems (ICPEICES), 2018
    Co-Authors: Ashu Soni, Maneesha Gupta
    Abstract:

    This paper proposes the designing of fractional order low pass Butterworth Filter using Genetic algorithm. The simulated magnitude response obtained using MATLAB is analyzed and verified at circuit level. The optimized results for the order 1.1, 1.5 and 1.9 are designed and verified using Tow Thomas biquad with SPICE simulations. Fractional order capacitor is used which is approximated using continued fraction expansion method. MATLAB and SPICE simulation results are compared for maximum attenuation in pass band. Good matching between MATLAB and SPICE results are achieved that shows the reliability of proposed Filter.

Durbadal Mandal - One of the best experts on this subject based on the ideXlab platform.

  • Optimal Modelling of (1 + α) Order Butterworth Filter under the CFE Framework
    Fractal and Fractional, 2020
    Co-Authors: Shibendu Mahata, Rajib Kar, Durbadal Mandal
    Abstract:

    This paper presents the optimal rational approximation of (1+α) order Butterworth Filter, where α ∊ (0,1) under the continued fraction expansion framework, by employing a new cost function. Two simple techniques based on the constrained optimization and the optimal pole-zero placements are proposed to model the magnitude-frequency response of the fractional-order lowpass Butterworth Filter (FOLBF). The third-order FOLBF approximants achieve good agreement to the ideal characteristic for six decades of design bandwidth. Circuit realization using the current feedback operational amplifier is presented, and the modelling efficacy is validated in the OrCAD PSPICE platform.

  • optimal modelling of 1 α order Butterworth Filter under the cfe framework
    Fractal and Fractional, 2020
    Co-Authors: Shibendu Mahata, Rajib Kar, Durbadal Mandal
    Abstract:

    This paper presents the optimal rational approximation of (1+α) order Butterworth Filter, where α ∊ (0,1) under the continued fraction expansion framework, by employing a new cost function. Two simple techniques based on the constrained optimization and the optimal pole-zero placements are proposed to model the magnitude-frequency response of the fractional-order lowpass Butterworth Filter (FOLBF). The third-order FOLBF approximants achieve good agreement to the ideal characteristic for six decades of design bandwidth. Circuit realization using the current feedback operational amplifier is presented, and the modelling efficacy is validated in the OrCAD PSPICE platform.

  • Optimal rational approximation of bandpass Butterworth Filter with symmetric fractional-order roll-off
    AEU - International Journal of Electronics and Communications, 2020
    Co-Authors: Shibendu Mahata, Rajib Kar, Durbadal Mandal
    Abstract:

    Abstract In this paper, a fractional-order bandpass Butterworth Filter (FBPBF) exhibiting symmetric roll-off characteristic is approximated as an integer-order transfer function using a metaheuristic optimization approach. A novel cost function is proposed by considering the exact FBPBF magnitude characteristic obtained through cascading the ( n + α ) , where n is an integer and 0 α 1 , order lowpass and highpass Butterworth Filter responses. Design examples considering various values of n and α are presented to illustrate the performance efficacy of the proposed approach. PSPICE simulations for the models realized using the current feedback operational amplifiers confirm proximity to the theoretical characteristics.

  • revisiting the use of squared magnitude function for the optimal approximation of 1 α order Butterworth Filter
    Aeu-international Journal of Electronics and Communications, 2019
    Co-Authors: Shibendu Mahata, Rajib Kar, Shilpak Banerjee, Durbadal Mandal
    Abstract:

    Abstract Optimal rational approximation of the fractional-order Butterworth Filter (FBF) based on a two-step design procedure is proposed. Firstly, the coefficients of the squared magnitude function of an approximant which matches the squared magnitude response of the ideal (1 + α)-order FBF, where 0 α 1 , are determined using the Genetic Algorithm (GA). Then, the stable model is used as an initial point for Powell’s conjugate direction algorithm (PCDA). The computational efficiency and the robustness of the suggested strategy are justified using illustrative examples. The proposed designs show a marked improvement in solution quality compared to the state-of-the-art. PSPICE responses for the FBFs realized using current feedback operational amplifiers (CFOA) confirm a close match with the theoretical characteristic. Python code for implementing the proposed designs using the Powell’s method is also provided.

  • optimal fractional order highpass Butterworth magnitude characteristics realization using current mode Filter
    Aeu-international Journal of Electronics and Communications, 2019
    Co-Authors: Shibendu Mahata, Rajib Kar, Durbadal Mandal
    Abstract:

    Abstract In this paper, six optimal fractional-order transfer functions (FOTF) to approximate the magnitude characteristics of a fractional-order highpass Butterworth Filter (FHBF) are presented. A novel cost function is proposed which specifically considers the characteristics of an ideal (1 + α), where 0

Hang Wang - One of the best experts on this subject based on the ideXlab platform.

  • A design method of decoupling IMC controller for multi-variable system based on Butterworth Filter
    2017 American Control Conference (ACC), 2017
    Co-Authors: Hang Wang, Juan Chen
    Abstract:

    A new decoupling internal model controller design method was proposed for the decoupling problem of the multivariable time-delay systems in industrial processes. This method is based on the adjoint matrix of the controlled object model. According to the basic principle of inversion, decoupling compensator is designed firstly, and then the internal model controller is designed for the decoupling generalized controlled object. In order to obtain better control effect, Butterworth Filter (maximum flat Filter) is used as the low pass Filter in internal model controller, and then the integrated decoupling internal model control (IMC) is obtained. The feedback Filter is designed to enhance the disturbance rejection ability. The classical Jerome- Ray model was simulated in this paper. The simulation results show that the proposed method has good dynamic decoupling effect and dynamic response characteristics. When process object mismatches process model or the system is disturbed, the proposed method still shows strong decoupling effect and disturbance rejection ability, which validates the robustness of the system.

  • ACC - A design method of decoupling IMC controller for multi-variable system based on Butterworth Filter
    2017 American Control Conference (ACC), 2017
    Co-Authors: Hang Wang, Yu-qi Zhu, Juan Chen
    Abstract:

    A new decoupling internal model controller design method was proposed for the decoupling problem of the multivariable time-delay systems in industrial processes. This method is based on the adjoint matrix of the controlled object model. According to the basic principle of inversion, decoupling compensator is designed firstly, and then the internal model controller is designed for the decoupling generalized controlled object. In order to obtain better control effect, Butterworth Filter (maximum flat Filter) is used as the low pass Filter in internal model controller, and then the integrated decoupling internal model control (IMC) is obtained. The feedback Filter is designed to enhance the disturbance rejection ability. The classical Jerome- Ray model was simulated in this paper. The simulation results show that the proposed method has good dynamic decoupling effect and dynamic response characteristics. When process object mismatches process model or the system is disturbed, the proposed method still shows strong decoupling effect and disturbance rejection ability, which validates the robustness of the system.