A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Advanced Search
Volume 3 Issue 3
Jul.  2016

IEEE/CAA Journal of Automatica Sinica

  • JCR Impact Factor: 15.3, Top 1 (SCI Q1)
    CiteScore: 23.5, Top 2% (Q1)
    Google Scholar h5-index: 77， TOP 5
Turn off MathJax
Article Contents
Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2016  >  3(3): 332-337
Norelys Aguila-Camacho and Manuel A. Duarte-Mermoud, "Improving the Control Energy in Model Reference Adaptive Controllers Using Fractional Adaptive Laws," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 3, pp. 332-337, 2016.
Citation: Norelys Aguila-Camacho and Manuel A. Duarte-Mermoud, "Improving the Control Energy in Model Reference Adaptive Controllers Using Fractional Adaptive Laws," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 3, pp. 332-337, 2016.
shu

Improving the Control Energy in Model Reference Adaptive Controllers Using Fractional Adaptive Laws

  • Department of Electrical Engineering and the Advanced Mining Technology Center, University of Chile, Chile

Funds:

This work was supported by CONICYT-Chile, under the Basal Financing Program (FB0809), Advanced Mining Technology Center, FONDECYT Project (1150488), Fractional Error Models in Adaptive Control and Applications, FONDECYT (3150007), and Postdoctoral Program 2015.

    Abstract
  • This paper presents the analysis of the control energy consumed in model reference adaptive control (MRAC) schemes using fractional adaptive laws, through simulation studies. The analysis is focused on the energy spent in the control signal represented by means of the integral of the squared control input (ISI). Also, the behavior of the integral of the squared control error (ISE) is included in the analysis.
    The orders of the adaptive laws were selected by particle swarm optimization (PSO), using an objective function including the ISI and the ISE, with different weighting factors. The results show that, when ISI index is taken into account in the optimization process to determine the orders of adaptive laws, the resulting values are fractional, indicating that control energy of the scheme might be better managed if fractional adaptive laws are used.

     

    • FullText(HTML)
  • loading
    • References(22)
  • [1]
    Narendra K S, Annaswamy A M. Stable Adaptive Systems. United States: Dover Publications Inc., 2005.
    [2]
    Kilbas A A, Srivastava H M, Trujillo J J. Theory and Applications of Fractional Differential Equations. New York: Elsevier, 2006.
    [3]
    Vinagre B M, Petráš I, Podlubny I, Chen Y Q. Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control. Nonlinear Dynamics, 2002, 29(1-4): 269-279
    [4]
    Ladaci S, Loiseau J, Charef A. Using fractional order filter in adaptive control of noisy plants. In: Proceedings of the 3rd International Conference on Advances in Mechanical Engineering and Mechanics. Hammamet, Tunisia, 2006.
    [5]
    Suárez J I, Vinagre B M, Chen Y Q. A fractional adaptation scheme for lateral control of an AGV. Journal of Vibration and Control, 2008, 14(9-10): 1499-1511
    [6]
    Ma J, Yao Y, Liu D. Fractional order model reference adaptive control for a hydraulic driven flight motion simulator. In: Proceedings of the 41st Southeastern Symposium on System Theory. Tullahoma, TN: IEEE, 2009. 340-343
    [7]
    He Y L, Gong R K. Application of fractional-order model reference adaptive control on industry boiler burning system. In: Proceedings of the 2010 International Conference on Intelligent Computation Technology and Automation (ICICTA). Changsha, China: IEEE, 2010. 750-753
    [8]
    Sawai K, Takamatsu T, Ohmori H. Adaptive control law using fractional calculus systems. In: Proceedings of the 2012 SICE Annual Conference. Akita: IEEE, 2012. 1502-1505
    [9]
    Aguila-Camacho N, Duarte-Mermoud M A. Fractional adaptive control for an automatic voltage regulator. ISA Transactions, 2013, 52(6): 807-815
    [10]
    Ladaci S, Loiseau J J, Charef A. Fractional order adaptive high-gain controllers for a class of linear systems. Communications in Nonlinear Science and Numerical Simulation, 2008, 13(4): 707-714
    [11]
    Charef A, Assabaa M, Ladaci S, Loiseau J J. Fractional order adaptive controller for stabilised systems via high-gain feedback. IET Control Theory and Applications, 2013, 7(6): 822-828
    [12]
    Aguila-Camacho N, Duarte-Mermoud M A. Boundedness of the solutions for certain classes of fractional differential equations with application to adaptive systems. ISA Transactions, 2016, 60: 82-88
    [13]
    Valério D, Da Costa J S. Ninteger: a non-integer control toolbox for Matlab. In: Proceedings of the 2004 Fractional Derivatives and Applications. Bordeaux, France: IFAC, 2004.
    [14]
    Oustaloup A. Systèmes Asservis Linéaires D'ordre Fractionnaire. Paris: Masson, 1983.
    [15]
    Oustaloup A. La Commande CRONE: Commande Robuste D'ordre Non Entier. Paris: Hermes, 1991.
    [16]
    Lanusse P. De la commande CRONE de première génération à la commande CRONE de troisième generation [Ph. D. dissertation], University of Bordeaux, France, 1994.
    [17]
    Oustaloup A. Non-Integer Derivation. Paris: Hermes, 1995.
    [18]
    Oustaloup A, Levron F, Mathieu B, Nanot F M. Frequency-band complex noninteger differentiator: characterization and synthesis. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2000, 47(1): 25-39
    [19]
    Olsson A E. Particle Swarm Optimization: Theory, Techniques and Applications. New York: Nova Science Publishers, 2011.
    [20]
    Zamani M, Karimi-Ghartemani M, Sadati N, Parniani M. Design of a fractional order PID controller for an AVR using particle swarm optimization. Control Engineering Practice, 2009, 17(12): 1380-1387
    [21]
    Chatterjee A, Mukherjee V, Ghoshal S P. Velocity relaxed and crazinessbased swarm optimized intelligent PID and PSS controlled AVR system. International Journal of Electrical Power & Energy Systems, 2009, 31(7-8): 323-333
    [22]
    Ordóñez-Hurtado R H, Duarte-Mermoud M A. Finding common quadratic Lyapunov functions for switched linear systems using particle swarm optimisation. International Journal of Control, 2012, 85(1): 12-25
    • Related Articles
    • Supplements(0)

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML

    Article Metrics

    Article views (1183) PDF downloads(26) Cited by()

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return