Abstract
Coefficient diagram method (CDM) is yet to be explored in many domains of fractional order control system design. In this research, an optimal non-integer PIλDμ controller is incorporated with the CDM method for regulating the terminal voltage of the reduced model of an automatic voltage regulator (AVR) system. In order to enhance the behaviour of the AVR system, parameters of the proposed PIλDμ controller are considered with the merits of CDM control strategy. A controller of fractional-order is designed using CDM and its effectiveness is collated with the conventional technique. Simulation results demonstrate that the standard performance characteristics are fully achieved by the CDM- FOPIλDμ controller.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Manabe,S.:Coefficient diagram method.In:IFAC Proceedings Volumes, 31(21), pp.211–222,(1998).
Bhusnur S (2020) An optimal robust controller design for automatic voltage regulator system using coefficient diagram method. J Inst Eng (India), Ser (B) 101(5):443–450
Podlubny I (1999) Fractional-order systems and PIλDμ controllers. IEEE Trans Autom Control 44(1):208–214
Monje CA, Vinagre BM, Feliu V, Chen Y (2008) Tuning and auto-tuning of fractional order controllers for industry applications. Control Eng Pract 16(7):798–812
Padula F, Visioli A (2010) Tuning rules for optimal PID and fractional-order PID controllers. J Process Control 21(7):69–81
Shah P, Agashe S (2016) Review of fractional PID controller. Mechatronics 38:29–41
Silas M, Bhusnur S (2021) Augmenting DC buck converter dynamic response using an optimally designed fractional order PI controller. Design Eng: 4836–4849
Saadat H (1999) Power system analysis. McGraw-Hill, New-York
Gaing ZL (2004) A particle swarm optimization approach for optimum design of PID controller in AVR system. IEEE Trans Energy Convers 19(2):384–391
Amer ML, Hassan HH, Youssef HM (2008) Modified evolutionary particle swarm optimization for AVR-PID tuning. In: Communications and information technology, systems and signals. pp 164–173
Pan I, Das S (2012) Chaotic multi-objective optimization based design of fractional order PIλDμ controller in AVR system. Int J Electr Power Energy Syst 43(1):393–407
Verma SK, Yadav S, Nagar SK (2017) Optimization of fractional order PID controller using grey wolf optimizer. J Control Autom Electr Syst 28(3): 318–322
Zamani M, Karimi-Ghartemani M, Sadat N, Parniani M (2009) Design of a fractional order PID controller for an AVR using particle swarm optimization. Control Eng Pract 17(12): 1380–1387
Manabe, S (2002) Brief tutorial and survey of coefficient diagram method. In: 4th Asian control conference. pp 25–27
Kim YC, Manabe S (2001) Introduction to coefficient diagram method. In: IFAC Proceedings vol 34, no 13. pp 147–152
Bhusnur S (2015) Effect of stability indices on robustness and system response in coefficient diagram method. Int J Res Eng Technology 4(10):282–287
Manabe S (1999) Sufficient condition for stability and instability by Lipatov and its application to the coefficient diagram method. In: 9-th Workshop on Astrodynamics and Flight Mechanics, Sagamihara, ISAS, pp 440–449
Monje CA, Chen Y,Vinagre BM, Xue D, Feliu-Batlle V (2010) Fractional-order systems and controls fundamentals and applications. Springer Science & Business Media
Chen Y, Petras I, Xue D (2009) Fractional order control-a tutorial. In: American control conference, 2009. ACC’09. IEEE, pp 1397–411
Valerio D, Costa JS.da (2010) A review of tuning methods for fractional PIDs. In: 4th IFAC Workshop on fractional differentiation and its applications, FDA, vol 10
Yeroglu C, Tan N (2011) Note on fractional-order proportional–integral–differential controller design. IET Control Theory Appl 5(17):1978–1989
Xue D, Zhao C, Chen YQ (2006) Fractional order PID control of a DC-motor with elastic shaft: a case study. In: American control conference. pp 3182–3187
Monje,C.A. et al.: Proposals for fractional P I λD μ tuning. In: Proceedings of The First IFAC Symposium on Fractional Differentiation and its Applications (FDA04)., vol. 38, pp. 369–381,(2004).
Valério D, Costa J.Sá da (2004) Ninteger, a non-integer control toolbox for MatLab. In: Proc First IFAC Work Fract Differ Appl Bordeaux. pp 208–213
Oustaloup A, Melchior P, Lanusse P, Cois O, Dancla F (2000) The CRONE toolbox for Matlab. In: CACSD. Conference Proceedings. IEEE International symposium on Computer-Aided Control System Design (Cat.No.00TH8537). pp 190–195
Tepljakov A, Petlenkov E, Belikov J (2011) FOMCON: Fractional-order modeling and control toolbox for MATLAB. In: Mixed Design of Integrated Circuits and Systems (MIXDES), 2011 Proceedings of the 18th International Conference IEEE. pp 684–689
Vinagre BM, Podlubny I, Hernandez A, Feliu V (2000) Some approximations of fractional order operators used in control theroy and applications. Fract Calc Appl Anal 3(3):231–248
Maione G (2008) Continued fractions approximation of the impulse response of fractional-order dynamic systems. IET Control Theory Appl 2(7):564–572
Xue,D., Zhao,C.,Chen,Y.Q.:A modified approximation method of fractional order system.In: Proc. 2006 IEEE Int. Conf.Mechatron. Autom., pp. 1043–1048 ,Jun(2006).
Khanra,M., Pal,J.,Biswasl,K.:Rational approximation and analog realization of fractional order transfer function with multiple fractional powered terms. Asian J. Control, vol. 15, no. 4, (2013).
Verma SK, Nagar SK (2018) Design and optimization of fractional order PIλDμ controller using grey wolf optimizer for automatic voltage regulator system. Recent Advances in Electrical & Electronics Engineering (Formerly Recent Patents on Electrical & Electronics Engineering), vol. 11, no. 2. pp. 217–226
Tang Y, Cui M, Hua C, Li L, Yang YY (2012) Optimum design of fractional order PIλDμ controller for AVR system using chaotic ant swarm. Expert Syst Appl 39(8):6887–6896
Majid Zamani NS, Karimi-Ghartemani M (2007) Fopid controller design for robust performance using practicle swarm Optimization. Fract Calc Appl Anal An Int J Theory Appl 10(2):169–187
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Silas, M., Bhusnur, S. (2023). Optimal Robust Controller Design for a Reduced Model AVR System Using CDM and FOPIλDμ. In: Muthusamy, H., Botzheim, J., Nayak, R. (eds) Robotics, Control and Computer Vision. Lecture Notes in Electrical Engineering, vol 1009. Springer, Singapore. https://doi.org/10.1007/978-981-99-0236-1_24
Download citation
DOI: https://doi.org/10.1007/978-981-99-0236-1_24
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-99-0235-4
Online ISBN: 978-981-99-0236-1
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)