0
Research Papers

An Adaptive Fuzzy H Synergetic Approach to Robust Control

[+] Author and Article Information
L. Medjbeur

QUERE Laboratory,
Electrical Engineering Department,
Ferhat Abbas University of Sétif1,
Sétif 19000, Algeria
e-mail: lemya_medjbeur@yahoo.fr

M. N. Harmas

QUERE Laboratory,
Electrical Engineering Department,
Ferhat Abbas University of Sétif1,
Sétif 19000, Algeria
e-mail: mharmas@yahoo.fr

S. Benaggoune

LRE Laboratoire des systèmes
de traction électrique,
Hadj Lakhdar University of Batna,
Batna 05010, Algeria
e-mail: s_benaggoune@yahoo.fr

K. Zehar

Department of Electrical and
Electronic Engineering,
Bahrain University,
Zallaq 32038, Bahrain
e-mail: kzehar@uob.edu.bh

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received February 5, 2016; final manuscript received June 29, 2017; published online September 8, 2017. Assoc. Editor: Srinivasa M. Salapaka.

J. Dyn. Sys., Meas., Control 140(1), 011008 (Sep 08, 2017) (7 pages) Paper No: DS-16-1078; doi: 10.1115/1.4037330 History: Received February 05, 2016; Revised June 29, 2017

Robust control often requires some adaptive approach in evaluating systems dynamics to handle parameters variations and external disturbances. Therefore, an error due to dynamics approximation is inevitably added to uncertainties already present in the model. This issue is addressed in this paper, through the combination of two robust techniques, Hinf and synergetic control. These latter are used to ensure reducing tracking error in the overall closed-loop system while guaranteeing stability via Lyapunov synthesis. With the aim of handling parameters variations, an indirect adaptive fuzzy scheme is used to elaborate system model. Simulation studies are conducted to assess the proposed approach on two practical systems, and the results are compared to a sliding mode proportional integral (PI)-based technique. It is to be noted that a large class of systems depicted as control affine systems will be considered in this paper. An induction motor and an inverted pendulum representing, respectively, a linear and a nonlinear system are utilized in this study showing improvement due to the suggested approach, in overall performance over its sliding mode control counterpart.

FIGURES IN THIS ARTICLE
<>
Copyright © 2018 by ASME
Your Session has timed out. Please sign back in to continue.

References

Lin, C. M. , and Hsu, C. F. , 2004, “ Adaptive Fuzzy Sliding Mode Control for Induction Servomotor Systems,” IEEE Trans Energy Conv., 19(2), pp. 362–368. [CrossRef]
Ho, H. F. , and Cheng, K. W. E. , 2009, “ Position Control of Induction Motor Using Indirect Adaptive Fuzzy Sliding Mode Control,” Third International Conference of the IEEE Power Electronics System and Application (PESA), Hong Kong, China, May 20–22, pp. 1–5.
Ho, H. F. , Wong, Y. K. , and Rad, A. B. , 2009, “ Adaptive Fuzzy Sliding Mode Control With Chattering Elimination for Nonlinear SISO Systems,” Simul. Model. Pract. Theory, 17(7), pp. 1199–1210. [CrossRef]
Jiang, Z. , and Dougal, R. , 2004, “ Synergetic Control of Power Converters for Pulse Current Charging of Advanced Batteries From a Fuel Cell Power Source,” IEEE Trans. Power Electron., 19(4), pp. 1140–1150. [CrossRef]
Kondratiev, I. , Santi, E. , Dougal, R. A. , and Veselov, G. , 2004, “ Synergetic Control for m-Parallel Connected DC-DC Buck Converters,” IEEE Power Electronics Specialists Conference (PESC), Aachen, Germany, June 20–25, pp. 182–188.
Jiang, Z. , 2009, “ Design of a Nonlinear Power System Stabilizer Using Synergetic Control Theory,” Electr. Power Syst. Res., 79(6), pp. 855–862. [CrossRef]
Lidozzi, A. , Solero, L. , Di Napoli, A. , and Crescimbini, F. , 2005, “ Synergetic Control for Ultra-Capacitors Based High Dynamic Converters,” IEEE Applied Power Electronics Conference and Exposition (APEC), Austin, TX, Mar. 6–10, pp. 1976–1982.
Kondratiev, I. , and Dougal, R. , 2006, “ General Synergetic Control Strategies for Arbitrary Number of Paralleled Buck Converters Feeding Constant Power Load: Implementation of Dynamic Current Sharing,” IEEE International Symposium on Industrial Electronics (ISIE), Montreal, QC, Canada, July 9–13, pp. 257–261.
Loginov, D. , 2011, “ Possibilities of Modeling the Creative Part of Engineering Design Process Using the Synergetic Approach,” Int. J. Math. Models Methods Appl. Sci., 5(1), pp. 95–104.
Bouchama, Z. , and Harmas, M. N. , 2012, “ Optimal Robust Adaptive Fuzzy Synergetic Power System Stabilizer Design,” Electr. Power Syst. Res., 83(1), pp. 170–175. [CrossRef]
Nechadi, E. , Harmas, M. N. , Hamzaoui, A. , and Essounbouli, N. , 2012, “ Type-2 Fuzzy Based Adaptive Synergetic Power System Control,” Electr. Power Syst. Res., 88, pp. 9–15. [CrossRef]
Furuya, H. S. , and Irisawa, J. , 2006, “ A Robust H Power System Stabilizer Design Using Reduced-Order Models,” Int. J. Electr. Power Energy Syst., 28(1), pp. 21–28. [CrossRef]
Kolesnikov, A. , and Veselov, A. , 2000, Modern Applied Control Theory: Synergetic Approach in Control Theory, Vol. 2, TSURE Press, Taganrog, Russia.
Kolesnikov, A. , Veselov, G. , Kolesnikov, A. , Monti, A. , Ponci, F. , Santi, E. , and Dougal, R. , 2002, “ Synergetic Synthesis of DC-DC Boost Converter Controllers: Theory and Experimental Analysis,” 17th Annual IEEE Applied Power Electronics Conference (APEC), Dallas, TX, Mar. 10–14, pp. 409–415.
Monti, A. , Santi, E. , Proddutur, K. , and Dougal, R. A. , 2003, “ Synergetic Control for DC-DC Boost Converter: Implementation Options,” IEEE Trans. Ind. Appl., 39(6), pp. 1803–1813. [CrossRef]
Runkler, T. A. , and Glesner, M. , 1994, “ Defuzzification and Ranking in the Context of Membership Value Semantics, Rule Modality, and Measurement Theory,” European Congress on Fuzzy and Intelligent Technologies, Aachen, Germany, Sept. 20–23.
Sugeno, M. , and Kang, G. T. , 1988, “ Structure Identification of Fuzzy Model,” Fuzzy Sets Syst., 28(1), pp. 15–33. [CrossRef]
Wang, L. X. , 1992, “ Fuzzy Systems are Universal Approximators,” IEEE Conference on Fuzzy Systems, San Diego, CA, Mar. 8–12, pp. 1163–1170.
Hou, M. , Duan, G. , and Guo, M. , 2010, “ New Versions of Barbalat's Lemma With Applications,” J. Control Theory Appl., 8(4), pp. 554–547. [CrossRef]
Doyle, J. , Glover, K. , Khargonekar, P. P. , and Francis, B. A. , 1989, “ State Space Solution to Standard H Control Problems,” IEEE Trans. Autom. Control, 34(8), pp. 831–884. [CrossRef]
Bose, B. K. , 1986, Power Electronics and AC Drivers, Prentice Hall, Englewood Cliffs, NJ.

Figures

Grahic Jump Location
Fig. 1

System output and reference

Grahic Jump Location
Fig. 3

System output and reference

Grahic Jump Location
Fig. 5

System output and reference

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In