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4th IFAC Conference on Advances in Control and Optimization of Dynamical Systems (ACODS 2016)

作者： Verma, Santosh Kumar Yadav, Shekhar Nagar, Shyam Krishna Indian Inst Technol BHU Dept Elect Engn Varanasi 221005 Uttar Pradesh India

In this paper, a fractional order proportional-integral (FOpi) controller is proposed for controlling the non-monotonic decreasing phase DC-buck regulator system. The parameters of FOpi controller are optimized by Nelder's-Mead (NM) method. The FOpi controller provides fast closed-loop performance as well as improves the robust properties of the system in time and frequency domain. The controller preserves the monotonic phase between the desired bandwidth and improves the characteristic performance of the system. The proposed method is validated by comparing the time domain as well as frequency domain characteristics with the integer order proportional-integral (IOpi) controllers tuned using various techniques. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： fractional order pi controller non-monotonic phase system DC-buck regulator Nelder's-Mead optimizer

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fractional order pi controller for a Conical Tank Process using different tuning methods 12

Fractional Order PI Controller for a Conical Tank Process us...

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12 IEEE Int C Elect Energy Env Communications Computer Control

作者： Gireesh, N. Sreenivasulu, G. Sree Vidyanikethan Engn Coll Dept EIE Tirupati Andhra Pradesh India SVU Coll Engn Dept ECE Tirupati Andhra Pradesh India

ISBN: (纸本)9781467365406

In industries nonlinear processes elements like conical tank or spherical tank is used for storage or processing of liquids. In this paper conical tank is used for analysis. Mathematically conical tank is a nonlinear due to its shape. The volume changes at every instant due to change in radius. In this paper fractional pi controller is used to maintain the liquid level of the tank at desired level. The performance of fractional order controller is compared with conventional controller for various tuning methods like Zeigler Nichols, Cohen-coon, CHR and Kappa-Tau.

关键词： Conical tank Modeling fractional order pi controller Performance indices

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An analytical solution of fractional order pi controller design for stable/unstable/integrating processes with time delay

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TURKISH JOURNAL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES 2023年第3期31卷 626-645页

作者： Cokmez, Erdal Kaya, Ibrahim Dicle Univ Fac Engn Dept Elect & Elect Engn Diyarbakir Turkiye

This paper aims to put forward an analytical solution for tuning parameters of a fractional order pi (FOpi) controller for stable, unstable, and integrating processes with time delay. Following this purpose, the analytical weighted geometrical center (AWGC) method has been extended to the design of fractional order pi controllers. To apply AWGC, the stability equations of the closed-loop system are written in terms of process and fractional order pi controller parameters. With the proposed method, the centroid can be calculated analytically, and the controller parameters can be easily calculated without the need of repetitive drawings of the stability boundary regions. Additionally, analytical equations are derived to calculate fractional integral order, & lambda;, using the integral of squared error (ISE) objective function. The proposed analytical equations are simple and time-saving which might attract controller engineers for applying them on the industrial level. To show the efficiency of the suggested method compared to the given methods in the literature, several simulation examples are considered. Comparisons between the reported methods are figured out in terms of unit step responses for nominal and perturbed cases. Also, rise time, settling time, maximum sensitivity (Ms), integral of squared error (ISE), and total variation (TV) values are considered to compare the performance and robustness issues. Also, a real-time application of an inverted pendulum setup is deemed to prove the feasibility of the suggested method.

关键词： fractional order pi controller stability equations weighted geometrical center integrating process unstable process time delay

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Robust fractional order pi controller Tuning Based on Bode's Ideal Transfer Function

Robust Fractional Order PI Controller Tuning Based on Bode's...

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6th IFAC Symposium on System Structure and Control (SSSC)

作者： Azarmi, Roohallah Tavakoli-Kakhki, Mahsan Sedigh, Ali Khaki Fatehi, Alireza KN Toosi Univ Technol Fac Elect Engn APAC Res Grp Ind Control Ctr Excellence Tehran Iran KN Toosi Univ Technol Fac Elect Engn Tehran Iran

This paper presents a simple analytical method for tuning the parameters of fractional order pi (FOpi) controllers based on Bodes ideal transfer function. The proposed technique is applicable to stable plants describable by a fractional order counterpart of first order transfer function without time delay. Tuning rules are given in order to improve the robustness of the compensated system in the presence of gain uncertainty in the plant model. Finally, the designed FOpi controller is implemented on a laboratory scale twin rotor helicopter and comparison results are provided to show the effectiveness of the proposed tuning rules. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： fractional order pi controller Bode's ideal transfer function gain uncertainty tuning rule twin rotor helicopter

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Multi-source Bidirectional Quasi-Z-source Inverter using fractional order pi controller for Electric Traction System 18

Multi-source Bidirectional Quasi-Z-source Inverter using Fra...

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18th IEEE Vehicle Power and Propulsion Conference (IEEE VPPC)

作者： Mande, Daouda Trovao, Joao P. Rubio, Ruben Gonzalez Ta, Minh C. Univ Sherbrooke E TESC Lab Sherbrooke PQ J1K 2R1 Canada Univ Sherbrooke eXit Lab Sherbrooke PQ J1K 2R1 Canada Hanoi Univ Sci & Technol CTI Lab Elect Vehicles Hanoi Vietnam Univ Coimbra DEEC INESC Coimbra Polo 2 P-3030290 Coimbra Portugal Polytech Inst Coimbra IPC ISEC DEE P-3030199 Coimbra Portugal

ISBN: (纸本)9781665405287

This paper proposes a new control configuration of hybrid energy storage system (HESS) using a battery pack and a supercapacitor for electric vehicle (EV). The HESS is designed based on bidirectional quasi-Z-source inverter (QZSI) and a DC-DC converter. The HESS configuration with its modeling is presented in this paper. The operation modes of HESS for EV and its control scheme using fractional order pi controller (FOpi) are presented. FOpi controller is combined with a filtering technique to contribute to battery degradation mitigation. The flux-weakening method is applied to provide correct operation with the maximum available torque at any speed request within current and voltage limits. The simulation results verify the performance and effectiveness of the HESS topology. The results also point out the ability of the inverter to give a fast response to the mechanical load and provide a DC bus constant voltage over the power-demand profile. The proposed HESS with these types of controller and converter can globally enhance the performance of the EV by allowing the efficient energy use of the battery for a longer distance coverage and extending its driving range.

关键词： Quasi-Z-source inverter DC-DC converter fractional order pi controller Electric vehicle Hybrid energy storage system Battery Supercapacitor

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An adaptive virtual inertia control design for energy storage devices using interval type-2 fuzzy logic and fractional order pi controller

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JOURNAL OF ENERGY STORAGE 2024年 84卷

作者： Sajadinia, Mehdi Tech & Vocat Univ TVU Dept Elect Engn Tehran Iran

This research paper introduces a novel methodology, referred to as the Optimal Self- Tuning Interval Type -2 Fuzzy-fractional order Proportional Integral (OSTIT2F-FOpi) controller for inverter-based energy storage system (ESS) to regulate the input and output power of ESSs, aimed at enhancing the frequency control of microgrids (MGs) with varying levels of renewable energy sources (RESs) integration. The proposed method entails the integration of a self -tuner interval type -2 fuzzy logic controller (IT2FLC) and FOpi controller within a virtual inertia (VI) control loop. Within the OSTIT2F-FOpi control framework, the IT2FLC block tunes the parameters of the FOpi controller in an online method to deal with problems associated with fixed gains of the FOpi controller. Consequently, the VI control unit can emulate varying degrees of inertia and damping based on the integrated levels of RESs or load variations. The self-tuning capability of the proposed method enables real -time performance improvement of the system, resulting in enhanced frequency stabilization and improved control efficiency, particularly in low-inertia MGs. Moreover, a different control methodology, referred to as EO-FOpibased VI, is developed to compare and assess the results achieved by the suggested OSTIT2F-FOpi control framework. This alternative method incorporates Equilibrium Optimization (EO) to adjust VI and FOpi parameters and provide a comparative analysis of the obtained outcomes.

关键词： Inverter-based energy storage system Virtual inertia Microgrid Sustainable energy resource Interval type -2 fuzzy logic controller fractional order pi controller

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Phase-constrained fractional order pi^λ controller for second-order-plus dead time systems

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TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL 2017年第8期39卷 1225-1235页

作者： Chen, Kai Tang, Rongnian Li, Chuang Hainan Univ Sch Mech & Elect Engn 58 Renmin Rd Haikou 570228 Hainan Peoples R China

In this paper we propose a phase-constrained fractional order pi lambda controller based on a second-order-plus dead time process and a new tuning method. The design is derived in several constraints: a flat phase constraint, a gain crossover frequency and a phase margin. With the specified phase margin, it can reach the corresponding upper boundary of gain crossover frequency and the stability region. The complete surface of stabilizing controllers is achieved by guaranteeing the open-loop system to fulfil the pre-set phase margin. Afterwards, a stability line on the relative stable surface can then be obtained. For a set of controllers on the stability line, the flat phase constraint is used to make sure the uniqueness of the designed controller. The effectiveness of the proposed method is illustrated with several numerical examples.

关键词： fractional order pi controller SOPDT Integer order pi lambda controller stability region flat phase robustness

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Experimental enhancement of fuzzy fractional order pi plus I controller of grid connected variable speed wind energy conversion system

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ENERGY CONVERSION AND MANAGEMENT 2016年 123卷 569-580页

作者： Beddar, Antar Bouzekri, Hacene Babes, Badreddine Afghoul, Hamza Univ Skikda Dept Elect Engn LAS Automat Lab Skikda Skikda Algeria Univ Ferhat Abbas Setif 1 Fac Technol Electrotech Dept Setif Algeria Univ Mohamed Boudiaf Msila Dept Elect Msila Algeria

In this paper, fuzzy fractional order pi+I (FFOpi+I) controller for grid connected Variable Speed Wind Energy Conversion System (VS-WECS) is proposed. The FFOpi+I controller is applied to control a Permanent Magnet Synchronous Generator (PMSG) connected to the grid and nonlinear load through a back-to-back AC-DC-AC PWM converter. The control strategy of the Machine Side Converter (MSC) aims, at first, to extract a maximum power under fluctuating wind speed. Then, the Grid Side Converter (GSC) is controlled to improve the power quality and ensure sinusoidal current in the grid side. The FFOpi+I controller implements a Fuzzy Logic controller (FLC) in parallel with fractional order pi (FOpi) and conventional pi controllers by having a commune proportional gain. The FLC changes the integral gains at runtime. The initial parameters of the FFOpi+I controller were calculated using a frequency method to create a search space then the PSO algorithm is used to select the optimal parameters. To evaluate the performance of the proposed controller in steady and transient states, an experimental test bench has been built in laboratory using dSPACE1104 card. The experimental results demonstrate the effectiveness and feasibility of the FFOpi+I over FOpi and conventional pi controllers by realizing maximum power extraction and improving the grid-side power factor for a wide range of wind speed. (C) 2016 Elsevier Ltd. All rights reserved.

关键词： Variable speed Wind energy conversion system Fuzzy logic controller fractional order pi controller Wind turbine emulator PMSG dSPACE 1104 Grid connected

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Tuning pi and fractional order pi controllers with an additional fractional order Pole

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CHEMICAL ENGINEERING COMMUNICATIONS 2018年第2期205卷 207-225页

作者： Ranjbaran, Kianoush Tabatabaei, Mohammad Islamic Azad Univ Khomeinishahr Branch Dept Elect Engn Daneshjoo Blvd Manzarieh Isfahan Iran

The pi controller with an additional pole (pi + P) already has been proposed to decrease the noise effect on the control signal. In this paper, a fractional order pole is employed to increase the pi thorn P controller performance. The fractional order is obtained by adjusting the Nyquist plot slope in gain crossover frequency. This condition as well as gain crossover frequency and phase margin specifications are utilized to design the pi controller augmented with an additional fractional order pole (pi + FO[P]). To design these two controllers, a first-order plus delay time (FOPDT) model is utilized. For plants that could not be described by this model, its fractional order version (FFOPDT) could be utilized. In this case, a FOpi + FO[P] controller is obtained that could improve the transient response of the closed-loop system. The numerical simulations accomplished on various plant models (including chemical plants) demonstrate the effectiveness of the proposed controller comparing with the pi + P, piD, FOpi, and fractional order proportional-integral-derivative controllers.

关键词： FFOPDT model FOPDT model fractional order pi controller fractional order pole relay-feedback test sensitivity function

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Comparing fractional order pi controllers With Variable Gain and Gain-order for the Networked Control of a Servomotor

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IFAC Proceedings Volumes 2012年第3期45卷 655-660页

作者： Inés Tejado S. Hassan HosseinNia Bias M. Vinagre Industrial Engineering School University of Extremadura Avenida de Elvas s/n 06006 Badajoz Spain

This paper addresses the use of fractional order control (FOC) in the context of control through networks to minimize or compensate the effect of the time-varying network-induced delay. In particular, two fractional order strategies are presented based on the adaptation of, on one hand, the gains of a fractional order pi controller, and, on the other hand, both its gains and its order in accordance with the variable delay detected in a networked control system (NCS). The essence of these approaches is to make controller gains and both gains and order delay-dependent by minimizing a defined cost function in order to avoid a decreased control performance. Experimental results, related to the control of the angular velocity of a servomotor through the Internet, show the effectiveness of these fractional order adaptive strategies in comparison with the non-scheduled controller. Likewise, a useful application of variable order pi controllers is presented.

关键词： Networked Control System Gain Scheduling order Scheduling Variable Delay fractional order pi controller Servomotor

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